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Division in Math

Division is a math superpower that breaks down a whole — whether you’re cutting a pizza or divvying up some candy!

Christina Levandowski

Author Christina Levandowski

jill padfield

Expert Reviewer Jill Padfield

Published: August 24, 2023

solve the division problems and match them to their solutions

  • Key takeaways
  • Division is an opposite game – If you multiply numbers, you can “undo” them using division. It’s multiplication’s opposite function! 
  • There’s a few signs to look for – There are three main symbols for division.
  • You won’t always get “even Stevens” – Sometimes, you’ll have a little left over. That leftover number is known as the “remainder.”

Table of contents

What is division?

Common symbols and terminology, properties of division, how to divide in 6 easy steps, what is long division, working with remainders.

  • Let’s practice together!

Practice problems

Division is one of the most important math skills you’ll practice, helping you to undo multiplication problems or break off parts of a “whole.” We know it looks complicated, but it really isn’t! You just need to know what signs to look for that tell you when division is needed. 

Like addition and subtraction, division uses a few special terms and symbols. Knowing these can help you to work out your problems quickly and correctly. 

We know it sounds complicated right now — but with a little practice and this handy guide, you’ll be flying through your math homework in no time!

solve the division problems and match them to their solutions

Division is a process in math that lets you break down a number into multiple, equal parts. Sometimes, you can cut everything down into whole number parts, and, sometimes, you’ll be left with a little leftover, giving you a decimal or fraction for an answer rather than a whole number. 

You’ll often see division problems vertically, like this:

Division in math 2

It can also be written horizontally: 10 ÷ 2, as 10/2 , or using a division bar: 2 ⟌ 10.

No matter how you see it, though, the use for it is always the same. You’re breaking down a number or quantity into smaller pieces. 

Let’s take a look at some key terms that’ll help you build your division skills.

Division is a simple mathematical operation, but there are still a few terms to know to help you find the correct solution. 

Here are the terms you need to know to solve division equations with ease:

solve the division problems and match them to their solutions

➗ — This is known as a division sign, and it tells you that a number needs to be broken down into multiple pieces. 

⟌ — This is the division bar, and it also means to divide. On the outside of the bar, you’ll see the number determining how many pieces are needed from the whole (the divisor), and the dividend on the inside, which is what you’ll be dividing. The answer goes on the top of the bar. 

∕ — This is known as the division slash. Generally, the divisor comes first, and the dividend will appear second.

Important vocabulary

  • Divisor – The divisor is the number that is determining how many pieces are needed from the whole. For example: in 15 ÷ 3, three would be the divisor. It’s also the number located outside of the bracket when you see a division bar.
  • Dividend – The dividend is the number that’s being divided, and it’s found inside the division bar.
  • Quotient – The quotient is your answer, which goes after the equals (=) sign or on the top of the division bar.
  • Remainder – In some cases, you’ll have a remainder — which means that the divisor can’t be equally divided into the dividend. The remainder is written to the side of your equation next to the division bar.

Anytime you see the word “property” in math, know that it’s just a rule to remember as you work through your groups of problems. Here are some of the most important properties of division that you need to know: 

  • The Division By 1 Property:  If a number is divided by 1, the quotient will always be the original number. 
  • The Division By Itself Property: If a number is divided by itself, the quotient will always be 1. 
  • The Division By 0 Property: If a number is divided by 0, it’s “undefined” and cannot be solved. 
  • The Division Of 0 By (Any) Number Property: If a 0 value is divided by any number, you’ll have 0 as your quotient.

Knowing these helpful properties can help you to do basic operations (like division) confidently. Remember — these are division facts, so these properties will always be true…no matter what problem you’re working to find the quotient to!

Now that you know the terms and properties of your division operation, it’s time to practice your skills. Let’s work the problem below together. 

Division in math 4

1. Prepare your equation

We know that the problem above can feel overwhelming — so we want to take this moment to remind you that what we’re doing is breaking down a number into smaller numbers (or smaller groups of numbers). 

First things first, we have to prepare the equation. Feel free to keep it horizontal,  write it vertically, or use a division bar if you’d like. Use whatever method you feel comfortable with. 

Remember: The dividend (15) belongs inside the division bar if you choose to use that method. 

2. Start with the first digit of the dividend from the left

As we begin to divide, we need to start from the first digit from the left (in this case, 1) and ask ourselves: Does the divisor (3) go into 1 at least once? 

The answer here is “no,” so we will then evaluate the first AND second integer (making 15) as a dividend. 

We ask again: Does the divisor (3) go into 15 at least once? 

Now, the answer is “yes” — we just have to count how many times 3 can go into 15, starting our division process.* 

*NOTE: You can do this by using basic arithmetic operations (such as multiplication) to “undo” the problem (i.e., 3 x ? = 15) or counting by threes until you reach 15. 

In our case, 3 goes into 15 a total of five times.

3. Divide it by the divisor and write the answer on top as the quotient

Now that we know that 15 ÷ 3 = 5, it’s time to write it into our equation. Go ahead and write 5 behind the equals sign or standing tall at the top of your division bar. 

4. Subtract the product of the divisor and the digit written in the quotient from the first digit of the dividend

Now, we have to check our work. We have to ask ourselves: What is 5 x 3? Does it equal our dividend? If it does, you’re golden — you’ve done it! 

Do the multiplication, and then subtract your product to ensure that there’s no other steps remaining (like you’d see in the case of a remainder). 

In our example, 15 – 15 = 0…so no remainder or further action is needed.

5. Bring down the next digit in the dividend (if possible)

In other problems, if you did have a three or four digit dividend, you might need to bring down the next digit in the dividend, and determine if your divisor divides that number cleanly. 

You would then repeat the division process, putting your answer over the third or “next” place above the division bar as part of the quotient. 

Next, yo would repeat step 4 to determine if more steps in the division process are needed.

In our example, we don’t have to do this, so we will leave it as is. Good work!

Congratulations! You just broke a large number down into equal, separate parts. It’s time to repeat the process for your other problems. 

Long division is a form of division that’s used to break down larger numbers and will generally repeat steps 1-6 above at least three or more times. 

We’ll work on that stuff later — for now, let’s just focus on mastering the basics!

What happens when you wind up with a little extra left over, you might ask? While it can look pretty scary, it’s simple to solve.

To do this, you’ll repeat steps one through five above until you get a number that cannot continue to be divided evenly. At this point, you’ll do a few additional steps:

  • Determine how many times the divisor goes in to the product of your current answer and the divisor. This won’t be a clean number, and that’s OKAY — that’s what your remainder process is for.
  • Complete the subtraction steps. After you get your number, complete the subtraction steps and write your answer below the subtraction bar.
  • For example: In the case of 16 ➗ 3, we would write the quotient as: 5R1.

When you see that there’s zero left over, or if there is no way for the divisor to divide into the dividend, that means that your problem is solved!

Let’s practice together

Division in math 5

  • We ask: “How many times can 6 go into 2?” 
  • 6 is greater than 2, so we will not be able to put a number over the 2. We then consider, “How many times can 6 go into 20?”
  • Well, this is a bit of a challenge! 6 does not go into 20 evenly. 6 x 3= 18, and 6 x 4= 24. So, 6 can go into 20 three times, but it won’t go evenly.
  • So, we add the 3 over the 0, above the division bar.
  • We put the product of 6 x 3 (our divisor x our quotient) under the dividend and subtract to determine if the a remainder in our difference. 
  • There is a remainder of 2. We write our quotient as: 3R2 .

Division in math 6

  • We know that our divisor is going to be 1, and our dividend (the number being divided) is 5. We identify them, and we put them properly into a division bar. 
  • We ask: “How many times can 1 go into 5?” 
  • Instead of working the problem counting or using multiplication, we remember the Division By 1 Property. 
  • We put 5 at the top of our division bar, since any integer that is divided by 1 will always be itself. 
  • There is no remainder for these types of Division By 1 Property problems. We can move on to the next problem.

Division in math 7

  • We know that our divisor is going to be 2, and our dividend (the number being divided) is 0. We identify them, and we put them properly into a division bar. 
  • We ask, “How many times can 2 go into 0?” 
  • Instead of working the problem counting or using multiplication, we remember the Division Of 0 By (Any) Number Property. 
  • We put 0 at the top of our division bar, since any integer that attempts to divide 0 as a dividend will always result in a quotient of zero. 
  • There is no remainder for these types of Division Of 0 By (Any) Number Property problems. We move on to the next problem.

Ready to give it a go?

You’ve done great so far — and you’re well on your way to mastering the art of division. Don’t be afraid to keep trying and make mistakes. 

Practice makes perfect, so we’ve given you a few more problems to practice as you work to perfect your skills. Remember: You can always scroll up to walk through the tutorials and refresh yourself on the terms, placement, and properties you’ll need to solve these correctly. 

By the end of this session, we’re confident that you’ll be ready to claim that A+ on your next math test. You can do it!

Click to reveal the answer.

The answer is 2 .

Division in math 8

The answer is 1R6 .

Division in math 9

The answer is 4 . 

Division in math 10

Parent Guide

Doodle-Blog-NumberIcons_1

The answer is 2.

How did we get here? 

  • We identify 4 as the dividend and 2 as the divisor, and place them in the division bar. 
  • We ask: “How many times can 2 go into 4?” We determine this using the “count by twos” method, which shows us that 2 goes into 4 a total of two times. 
  • We put 2 at the top of our division bar as the quotient, and multiply it by our divisor (2). We then subtract the product of our multiplication from the number to get an answer of 0, which shows us that there is no remainder. You’re done!

Doodle-Blog-NumberIcons_2

The answer is 1R6.

  • We identify 8 as our divisor and 14 as our dividend, and place them in the division bar. 
  • We ask: “How many times can 8 go into 14?”, as 8 will not go into 1. We determine this using the “count by eights” method, which shows us that 8 goes into 14 just once. 
  • We write a 1 in the quotient place above the 4 under the division bar. We then multiply 1 x 8 to get a product of 8, which is placed below the 14 under the division bar. 
  • Now, we do the math and subtract 8 from 14. We’ll get 6 as our difference. 
  • We then write our quotient as 1R6.

Doodle-Blog-NumberIcons_3

The answer is 4. 

How did we get here?

  • We identify 5 as our divisor and 20 as our dividend, and place them in the division bar. 
  • We ask: “How many times can 5 go into 20,” as 5 will not go into 2 at all. We determine this using the “count by fives” method, which shows us that 5 can go into 20 cleanly four times. 
  • We place a “4” in our quotient place, and multiply 4 x 5 to get a product of 20. This is written under the division bar as a subtraction problem. 
  • We subtract 20 – 20, resulting in a difference of 0. 
  • This means that 4 is our final quotient with no remainder.

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FAQs about math strategies for kids

We understand that diving into new information can sometimes be overwhelming, and questions often arise. That’s why we’ve meticulously crafted these FAQs, based on real questions from students and parents. We’ve got you covered!

Division is the mathematical process that breaks down a big value into smaller values. 

There are plenty of times you’ll use division in your everyday life. Some of the most common ways might be to break up an even quantity of something, determining how much of an ingredient to use, or grouping up items for use. 

Division is the inverse of multiplication. This means that it naturally undoes any sort of operation that’s done with multiplication. 

The three main parts of division are the divisor, dividend, and quotient. 

Group 208

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solve the division problems and match them to their solutions

Christina Levandowski

Christina has written for hundreds of clients from small businesses to Indeed.com. She has extensive experience working with marketing strategy and social media marketing, and has her own business creating assets for clients in the space. She enjoys being an entrepreneur and has also started pursuing investment opportunities as time permits.

jill padfield

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Division is splitting into equal parts or groups.

It is the result of "fair sharing"., example: there are 12 chocolates, and 3 friends want to share them, how do they divide the chocolates.

Answer: 12 divided by 3 is 4. They get 4 each.

We use the ÷ symbol, or sometimes the / symbol to mean divide:

Let's use both symbols here so we get used to them.

More Examples

Here are some more examples:

Opposite of Multiplying

Division is the opposite of multiplying . When we know a multiplication fact we can find a division fact:

Example: 3 × 5 = 15, so 15 / 5 = 3.

Also 15 / 3 = 5.

Why? Well, think of the numbers in rows and columns like in this illustration:

So there are four related facts :

Knowing your Multiplication Tables can help you with division!

Example: What is 28 ÷ 7 ?

Searching around the multiplication table we find that 28 is 4 × 7, so 28 divided by 7 must be 4.

Answer: 28 ÷ 7 = 4

There are special names for each number in a division:

dividend ÷ divisor = quotient

Example: in 12 ÷ 3 = 4:

  • 12 is the dividend
  • 3 is the divisor
  • 4 is the quotient

But Sometimes It Does Not Work Perfectly!

Sometimes we cannot divide things up exactly ... there may be something left over.

Example: There are 7 bones to share with 2 pups.

But 7 cannot be divided exactly into 2 groups, so each pup gets 3 bones, but there will be 1 left over :

We call that the Remainder .

Read more about this at Division and Remainders

Try these division worksheets .

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Division Word Problem Worksheets

This page contains extensive division word problems replete with engaging scenarios that involve two-digit and three-digit dividends and single digit divisors; three-digit dividends and two-digit divisors; and advanced division worksheets (four-digit and five-digit dividends). Thumb through some of these worksheets for free!

Division Word Problems for Beginners

Division Word Problems for Beginners

These printable worksheets feature simple division word problems. The divisors are in the range 2 to 9. The quotients are in the range 2 to 10. These worksheets are building blocks for children.

  • Download the set

Division: Two-digit by Single-digit (without Remainder)

Division: Two-digit by Single-digit (without Remainder)

This set of word problems involves dividing a two-digit number by a single-digit number to arrive at a quotient. The division leaves no remainder. Answer key is included in each worksheet.

Division: Two-digit by Single-digit (with Remainder)

Division: Two-digit by Single-digit (with Remainder)

These word problems require the learner to divide the two-digit dividend by the single-digit divisor and write down both the quotient and the remainder. Three pdf worksheets with 15 scenarios are featured here.

Theme based Word Problems

Theme based Word Problems

Each worksheet has five word problems related to the given theme. Supermarket, School and Halloween party are the themes used here.

Three-digit by Single-digit Word Problems

Three-digit by Single-digit Word Problems

These printable worksheets involve division word problems with three-digit dividends and single digit divisors. Apply long division method to solve each problem.

Three-digit by Two-digit Word Problems

Three-digit by Two-digit Word Problems

This set of word problems will require the student to perform division operations involving three-digit numbers and two-digit numbers. Verify your answer with the answer key provided in the worksheet.

Division: Four or Five-digit by Single-digit

Division: Four or Five-digit by Single-digit

Interesting scenarios are presented in these advanced worksheet pdfs that involve four-digit and five-digit dividends and single digit divisors. Use long division method to find the quotient.

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Long Division Calculator

Division is one of the basic arithmetic operations, the others being multiplication (the inverse of division), addition, and subtraction. The arithmetic operations are ways that numbers can be combined in order to make new numbers. Division can be thought of as the number of times a given number goes into another number. For example, 2 goes into 8 4 times, so 8 divided by 4 equals 2.

Division can be denoted in a few different ways. Using the example above:

8 ÷ 4 = 2

In order to more effectively discuss division, it is important to understand the different parts of a division problem.

Components of division

Generally, a division problem has three main parts: the dividend, divisor, and quotient. The number being divided is the dividend, the number that divides the dividend is the divisor, and the quotient is the result:

One way to think of the dividend is that it is the total number of objects available. The divisor is the desired number of groups of objects, and the quotient is the number of objects within each group. Thus, assuming that there are 8 people and the intent is to divide them into 4 groups, division indicates that each group would consist of 2 people. In this case, the number of people can be divided evenly between each group, but this is not always the case. There are two ways to divide numbers when the result won't be even. One way is to divide with a remainder, meaning that the division problem is carried out such that the quotient is an integer, and the leftover number is a remainder. For example, 9 cannot be evenly divided by 4. Instead, knowing that 8 ÷ 4 = 2, this can be used to determine that 9 ÷ 4 = 2 R1. In other words, 9 divided by 4 equals 2, with a remainder of 1. Long division can be used either to find a quotient with a remainder, or to find an exact decimal value.

components of division

How to perform long division?

To perform long division, first identify the dividend and divisor. To divide 100 by 7, where 100 is the dividend and 7 is the divisor, set up the long division problem by writing the dividend under a radicand, with the divisor to the left (divisorvdividend), then use the steps described below:

long division step 1

This is the stopping point if the goal is to find a quotient with a remainder. In this case, the quotient is 014 or 14, and the remainder is 2. Thus, the solution to the division problem is:

100 ÷ 7 = 14 R2

To continue the long division problem to find an exact value, continue the same process above, adding a decimal point after the quotient, and adding 0s to form new dividends until an exact solution is found, or until the quotient to a desired number of decimal places is determined.

long division step 6

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Examples of Division Problems with Answers

  •  / 

As students progress from elementary to middle school, they learn more complicated division concepts. If your child needs extra help with division, you can provide him or her with practice problems at home. Keep reading for sample problems and solutions.

What Division Concepts Is My Child Learning?

In third grade, students are introduced to basic division facts involving numbers between 0-100, so a typical division problem might look like this: 25 ÷ 5 = 5. By fourth and fifth grade, your child should be using long division to solve problems with larger numbers and remainders. A sample problem might be 73 ÷ 12 = 6 R1.

Middle school students learn to divide fractions and to use division to solve complex expressions. For example, your child might be asked to solve for the variable in this equation: 4x = 24. To do so, he or she must isolate x by dividing both sides by 4. The answer is x = 6.

Division Problems and Solutions

Elementary school.

1. 36 ÷ 6

2. 308 ÷ 14

3. 44 ÷ 9

4. Identify the dividend, divisor and quotient in the following problem: 16 ÷ 3 = 8.

Middle School

1. 3/7 ÷ 8/2

2. 8/13 ÷ 1/7

3. 42 ÷ -6

Other Articles You May Be Interested In

Division can be confusing, especially when working with larger numbers. Read on to learn how to help your fifth grader remember how to divide many different lengths of numbers.

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Problem Solving on Division | Division Word Problems Examples with Answers

Are you looking for help in solving the division problems? If yes, then you are on the correct page. This Problem Solving on Division page includes the questions prepared by math experts. Students can check the detailed process to solve all those problems in the following sections. We know that division is an arithmetic operation that is inverse of multiplication and used to split the number of items into groups of equal size.

We are providing example questions and solutions for the various division problems. Interested students can solve the practice questions related to division to become a pro in the concept. All the Questions covered clearly explain how to solve problems involving division.

  • Worksheet on Division Problems by 2-Digit Divisors
  • Word Problems on Division by 2 Digit Number
  • Word Problems on Division

Division Problem Solving Examples

Problem Solving on Division 1

Example 2: At a parking slot, we have 52 bikes in 4 rows. Find the number of bikes in each row? Solution: The total number of bikes = 52 The number of rows = 4 The number of bikes in each row = 52 ÷ 4 = 13 Therefore, the number of bikes in each row is 13.

solve the division problems and match them to their solutions

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Division Word Problems (1-step word problems)

In these lessons, we will learn to solve word problems involving division.

Related Pages 2-Step Division Word Problems More Word Problems More Singapore Math Lessons

Here are some examples of division word problems that can be solved in one step. We will illustrate how block diagrams or tape diagrams can be used to help you to visualize the division word problems in terms of the information given and the data that needs to be found.

We use division or multiplication when the problem involves equal parts of a whole. The following diagram shows how to use division to find unknown size of parts or groups or to find unknown number of parts or groups. Scroll down the page for examples and solutions.

Equal Parts of a Whole

Example: There are 160 grade 3 students in a school. The students are to be equally divided into 5 classes. How many students do we have in each class?

160 ÷ 5 = 32

We have 32 students in each class.

Example: Melissa made 326 cupcakes. She packed 4 cupcakes into each box. How many boxes of cupcakes did she pack? How many cupcakes were left unpacked?

326 ÷ 4 = 81 remainder 2

She packed 81 boxes of cupcakes.

2 cupcakes were left unpacked.

How to solve multiplication and division problems by drawing a diagram? Division: Finding the Number in Each Group

Example: Victor opened a bag of pretzels and counted 56. He gave each of 7 friends an equal number of pretzels. How many pretzels did each friend receive?

Use Tape Diagrams to solve Word Problems with Unknown Number of Groups

Example: A vet gives the dogs in her office 4 bones each. She used 24 bones. How many dogs got bones?

Tape Diagrams - Unknown Size of Groups How to make a tape diagram to solve a word problem with an unknown size of groups?

Example: Mrs. Silverglat has 21 pretzels. She gives seven students am equal amount of pretzels. How many pretzels does each student get?

Practice solving the following multiplication and division word problems.

  • Dan went to the market on Friday. He bought two tomatoes. On Sunday, he bought six times as many. How many tomatoes did he buy on Sunday?
  • In July, a construction company built 360 miles of road. In February, the company laid down 60 miles of road. How many times more road did the company complete in July?
  • Linh ran 21 miles. Linh ran three times as far as Sophie. How far did Sophie run?
  • Molly’s bedroom is 220 square feet. Molly’s dining room is five times the size of her bedroom. How large is her dining room?

Using Division Tape Diagrams to find Unknown Number of Groups

Example: After playing Belmont, the 24 Islander players traveled to South Boston. This time they went by car and 3 players rode in each care. How many cars did they need?

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25 Division Word Problems for Grades 3 to 5 With Tips On Supporting Students’ Progress

Steven eastes.

Division word problems are important in building proficiency in division. Division is one of the bedrocks of math alongside addition, subtraction and multiplication. Therefore, it is vital that students have a deep understanding of division, its function within arithmetic and word problems, and how to apply both short division and long division with success.

Division itself is the mathematical process of breaking a number up into equal parts and then finding out how many equal parts you can have. It may be that you have a remainder following the division or you may have no remainder and so a whole number as your answer.

What are division word problems?

Introducing standard algorithm division, why are word problems important for childrens’ understanding of division, applying math to real life situations, building problem solving skills, developing mathematical language skills, deepening understanding of the inverse relationship between division and multiplication, how to teach division word problem solving in elementary school., example of a division word problem, how can we show this visually, examples of division word problems in the elementary setting, 3rd grade division word problems, 4th grade division word problems, 5th grade division word problems.

Division word problems are an extension of the arithmetic method whereby they are word problems with division at the heart. Students will be expected to use the process of division to find a solution to the word problem.

Typically, word problems use a story as a scenario and are based on a real life situation where students are expected to interpret what the word problem is asking and then apply their division knowledge to find the answer. Division can also be introduced early through the idea of grouping before advancing to the formal method of long division.

To help you with the division journey, we have put together a collection of division word problems which can be used for children between 3rd grade to 5th grade.

Word Problems Grade 4 Fractions and Decimals

11 grade 4 fractions and decimals questions to develop reasoning and problem solving skills.

Division word problems in upper elementary

As children enter 3rd grade, they begin to develop their mental and written strategies for division. Students will begin to use their multiplication knowledge and times tables to assist in their solving of division problems and how they can use the corresponding division facts and multiplication facts to answer questions. 

By the end of 3rd grade, students are expected to recall their multiplication and division facts for multiplication times tables up to 10 x 10. They should also use their knowledge of place value, and known and derived facts to assist with simple division such as dividing by 1 and halving.

Introducing partial quotients 

Before being introduced to the standard algorithm, also known as long division, students learn the partial quotients method. Students practice their fluency of short division, in order to answer division word problems that have a whole number answer, and those with a remainder.

Before entering 4th and 5th grade, students encounter division word problems and multi step problems with increasingly harder numbers going from a simple division problem, such as, ‘If we have 30 students in our class and we are divided into groups of 5, how many students will be in each group?’ to ‘If there are 56 books in our library and they are shared among 7 children, how many books would each child get?

As our students enter 5th grade, the standard algorithm, or long division, is introduced. By the end of 5th grade, students should be fluent in both multiplication and division and the written strategies, and be able to apply knowledge in fraction word problems .

4th grade students work towards being able to divide up to 4 digit numbers by a one digit number using partial quotients and being able to interpret remainders in the correct context – even presenting the remainder as a decimal or fraction. Students should also be able to divide mentally and know how to divide by 10, 100 and 1,000 and how place value works alongside dividing a number so it is 10, 100 or 1,000 times smaller.

5th grade students are expected to consolidate on the above formal methods of division before being able to divide a four digit number by a two digit number using the formal method of standard algorithm division and to again be able to understand remainders within this and present them in the correct context. 

This also flows into division word problems as children should be able to read a multi step problem and know how to correctly interpret it, apply their divisional knowledge and solve the problem successfully. The concept of multi step problems is built upon at each stage of your state math curriculum.

Word problems, alongside the use of concrete objects and visual representations, are important in helping children understand the complexities and possible abstract nature of division.

While children may understand that when we divide our answer will be smaller, before providing a child with word problem worksheets, just like with exploring arrays to support multiplication word problems , it is important to visually explore how division looks – from grouping and beyond.

Word problems are important because they provide a real life context for children to understand division and how we encounter it in real life. By allowing children to see how division is used in everyday situations, children will find it more meaningful and relevant which in turn develops a deeper understanding of the four operations as a whole.

Word problems are also vital to developing problem solving skills. First, they must read and understand the problem before being able to identify the relevant information within the contextual problem and apply their knowledge to find a solution. This naturally builds critical thinking and a child’s ability to reason, which is an important skill for any mathematician.

Finally, the importance of  moving from simple division word problems to more challenging ones enhances students’ vocabulary and language skills. For children to develop an understanding of vocabulary such as divisors, quotient and remainders means they must first understand these key words and apply it to the process of division and be able to communicate clearly what they are aiming to do.

Division word problems also solidify the connection between multiplication and division. Understanding these inverse operations and being able to interchange the skills of multiplication and division will help make connections between different mathematical concepts and deepen students’ learning. 

Having taught the concept of division to students using concrete examples, for example how to group or share counters and cubes, the next step is to advance to division word problems. 

As with all word problems, it is important that students are able to read the question carefully and interpret it so they know what they are being asked. Do they need to add, subtract, multiply or divide? Are they solving a multi step problem and need to do more than one step? They may decide what operation to do, in this blogs’ case – division, and then choose to represent it visually.

There are 40 pieces of candy ready to go in the party bags for Laura’s birthday. They are to be shared between 8 friends. How many pieces of candy will each child get?

How to solve this:

First, we need to interpret the question. Laura has invited 8 friends to her party and she has 40 pieces of candy to share equally between her friends. So we know:

  • There are 40 pieces of candy in total
  • They are to be divided among 8 friends in total
  • We will need to divide the total number of candies (40) by the number of friends (8). To solve this problem we could put the total number of candies (the dividend – 40 ) using the partial quotient method and divide by the total number of friends (the divisor – 8). If we do this, we would get the answer of 5 – the quotient. Each friend would get 5 pieces of candy each as 40 divided by 8 is 5.
  • Alternatively, we could use the inverse – multiplication – to solve this problem. We may not know the division fact that 40 divided by 8 = 5 but if we look to the inverse we may know what number multiplied by 8 equals 40. If we did our 8 times table we would get the answer of 5 – the correct answer.

Showing how to solve the division word problem

We could show 8 circles – each circle to represent a child – and place a piece of candy in each circle until we have placed all 40 candies. This would mean we have shared the candies equally between the friends and would result in each child having 5 candies.

We could represent the division word problem as a bar model. We could split the bar model into 8 sections. There are 40 candies and so we share them between the 8 sections. We will see that each section will get 5 pieces of candy.

The below visuals show how this would look:

Visually showing how to solve the problem using circles

Word problems are an important aspect of our learning at Third Space Learning’s one-to-one tutoring program. Tutors will work with our tutees to break down the word problems and identify the correct operation needed to solve the word problem.

Below are examples of what can be expected at each year group from grades 3 to 5. Through our tutoring program at Third Space Learning, our tutees will become familiar with word problems throughout their learning. They will encounter word problems on a regular basis with each lesson personalized to develop the learning our tutees need. The word problems will increase their confidence, familiarity with vocabulary and mathematical understanding.

Lesson slide showing a division word problem

Division word problems are essential to developing problem solving skills and mathematical reasoning.

Word problems for 3rd grade, students should begin using their recall of the times table facts they have learned to help with division word problems and be able to divide two digit numbers by one digit numbers using mental and partial quotients. Word problems may also involve multi step problems.

Question 1:

If a school has 90 students in 2nd grade and there are 3 classes in 2nd grade, how many students are in each class?

90 shared equally into 3 classes = 30 children per class

Question 2:

Every day a school gets a delivery of milk in a crate. There are 96 cartons of milk in the crate. If there are 8 milk cartons in a pack, how many packs will be in the crate?

96 divided by 12 = 8.

There are 8 cartons of milk in a pack.

Question 3:

A delivery of 96 footballs arrives at school for sports day. They are to be shared equally between 4 classes. How many footballs does each class get?

96 divided by 4 = 24 footballs per class

Question 4:

3rd grade is going to the beach on a school trip. If there are 100 children in 3rd grade and only 10 children can go on one mini bus, how many mini buses does Mr. Pearson need to book?

100 children divided 10 = 10 mini buses.

Question 5:

If you have 60 flowers and divide them into four flower pots, how many flowers are in each pot? Are there any left over?

Answer: 15 flowers in each pot.

If we divide 60 into 4 equal groups then we can use the partial quotient method.

When using the partial quotients method, students rely on what multiplication facts they can use. 

Because we are dividing 60 by 4, we may ask ourselves, what number can I multiply 4 by, to get close to 60 without going over? Students should be familiar with their 10s time tables, and 4 x 10 = 40. We place the 10 above the quotient line, and then subtract 40 from 60, leaving 20 remaining.

We will now start the process all over again. What number can I multiply 4 by to get close to 20 without going over? We know that 4 x 5 = 20, so again, place 5 above the 10 in the quotient line and subtract 20 – 20. Because there is nothing left over, we are done dividing.

So the answer to 60 divided by 4 = 15.

This would look like:

How to solve 3rd grade problem Question 5

Word problems for 4th grade center around dividing a 4 digit number by a 1 digit number using the partial products method or area model method of division. They will also be introduced to remainders and be expected to interpret remainders correctly depending on the context. 

Ronan has a ball of string that is 819 cm long. He cuts it into 7 equal pieces. How long is 1 piece of string?

Answer: 117cm

819 divided by 7 = 117

In upper elementary there are 1,248 colored pencils. If there are 6 classes in upper elementary, how many pencils would each class receive?

Answer: 208

We use the division method to divide 1,248 by 6 and we get 208 as the result.

Mia buys three computer games for $84. How much is one computer game?

Answer: $28.

We divide $84.00 by 3 and we get $28.00.

The area of the school hall is 1,704m and needs to be split into four quadrants. What would be the area of each quadrant?

Answer: 426m

We take the total area of the school and divide it by 4 to represent each quadrant. In doing so, we would have 426m for each quadrant.

To check this is the correct answer, we could do the inverse and multiply 426 by 4 and we would get 1,704m.

Packets of candy are put into multi packs of 4. Today, 7,800 packets of candy were packed. How many boxes of candy were packed?

Answer: 163 boxes

We then have to take the total packets of candy– 7,800 – and divide this by 4. If we do this we will get the answer 1,950 boxes were packed.

Word problems for 5th grade will be preparing for the end of elementary school. They would be familiar with the concept of standard algorithm division and needing to divide a 4 digit number by a 2 digit number using the formal method of standard algorithm division.

A school is selling tickets at $6 each to attend the Big Christmas Fair. Over 15 weeks it has earned an amazing $9,720! On average, how many tickets were sold each week?

Answer: 108 tickets per week

First, we need to use the formal method of standard algorithm division to divide the grand total – $9,720 by 15. If we do this correctly we will have the answer 648.

Then, we need to take this answer of 648, which is how much is earned each week, and then divide this by $6, the amount each ticket is.

This will result in the number of tickets sold each week – 108 tickets.

How to solve 5th grade word problem Question 1

A square sports field has a perimeter of 2.696km. How long is each side of the field?

Answer: 674m

To answer this we need to be able to convert the 2.696km into meters. There are 1000 meters in a kilometer so that would be 2,696m. Then we divide this by 4 and get 674m for one side.

Keira is given a toy blocks kit containing 2,208 individual blocks. She wants to split the toy blocks evenly between 15 friends and herself to work on making a toy block city together. How many blocks should she give each of her friends?

Answer: 138 blocks

We need to use the formal method of standard algorithm division to solve this. We also need to ensure we include Keira and her 15 friends so we have the number 16 as the divisor.

When we divide 2,208 by 16 using long division we get the answer 138.

Wesleigh was running in the cross country race. He ran for a distance of 3,569m and it took him 11 minutes to complete the race. How many meters did he run per minute? Give your answer to the nearest whole meter.

Answer: 324 meters

We need to use standard algorithm division to divide 3,569 by 11. That will give us an answer of 324.45. As the decimal can be rounded down, the answer is 324 meters.

Sophia is preparing her candy stall for the fair. She can fit 18 tins of candy into one crate. How many crates will be needed to fit 153 tins of candy?

Answer: 9 crates 

We divide 153 by 18 using standard algorithm division and we have an answer of 8, remainder 5. Therefore, having 8 crates would not be enough as we would have 85 tins left over and so we need a further tin to house the 5 tins left over. So, 9 crates are needed.

More word problems resources

Are you looking for more word problems resources? Take a look at our library of word problems practice questions including: time word problems , ratio word problems , addition word problems and subtraction word problems .

Do you have students who need extra support in math? Give your students more opportunities to consolidate learning and practice skills through personalized math tutoring with their own dedicated online math tutor. Each student receives differentiated instruction designed to close their individual learning gaps, and scaffolded learning ensures every student learns at the right pace. Lessons are aligned with your state’s standards and assessments, plus you’ll receive regular reports every step of the way. Personalized one-on-one math tutoring programs are available for: – 2nd grade tutoring – 3rd grade tutoring – 4th grade tutoring – 5th grade tutoring – 6th grade tutoring – 7th grade tutoring – 8th grade tutoring Why not learn more about how it works ?

The content in this article was originally written by former Deputy Headteacher Steven Eastes and has since been revised and adapted for US schools by elementary math teacher Christi Kulesza.

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As with our full library of lessons, each one includes questions to ask, ways to support students when they are stuck, and answers to the given questions.

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Divide Questions

Divide questions are essential to practice for the improvement of arithmetic skills in lower standards. The questions presented here will be beneficial for students to enhance their numeracy skills.

Also, check out What is Arithmetics ?

Division is an arithmetic operation that simply means “share equally”, “divide among”, “split into”, etc. For example, a pizza with 6 slices has to be equally distributed among three friends; then, obviously, one may say that each of them will get 2 slices of pizza. So, what we did here in terms of arithmetics is divide 6 by 3, which results in 2.

So, whenever we encounter problems that indicate a sense of sharing, dividing, distributing, etc. We must understand that the problem is related to division.

Learn more about divide .

Divide Questions with Solutions

Below are some divide questions and their solutions to help students understand different concepts regarding division.

Question 1:

What will be the quotient if 2468 is divided by 4?

Using the long division method,

Divide Questions

Therefore, 2468 ÷ 4 = 617 or 2468 = 4 × 617.

Also, check: Long Division Online Calculator .

Question 2:

What number should be subtracted from 367 to make it divisible by 3?

Now, 367 = 3 × 122 + 1.

Hence, when 367 is divided by 3, it leaves a remainder of 1.

Thus, 367 – 1 = 366 is divisible by 3.

Question 3:

A shirt can be made out of 3 m cloth. If there is a roll of 1350 m cloth, how many total shirts can be made out of it?

Cloth needed to make a shirt = 3 m

Total cloth = 1350 m

Number of shirts = Total cloth ÷ cloth needed to make one shirt = 1350 ÷ 3 = 450.

Therefore, 450 shirts can be made.

Question 4:

What is the greatest number which can divide 24, 56 and 18?

The prime factorisation of 24, 56 and 28 are

24 = 2 × 2 × 2 × 3

56 = 2 × 2 × 2 × 7

28 = 2 × 2 × 7

We see that 2 × 2 = 4 is a common factor. Thus, 4 is the greatest number which can divide 24, 56 and 18.

Question 5:

Evaluate 2 + 24 × ½ ÷ ⅖.

The given problem can written as [2 + {24 × (½ ÷ ⅖)}]

= [2 + {24 × (½ × 5/2)}]

= [2 + {24 × 5/4}]

= [2 + {6 × 5}]

= 2 + 30 = 32

Question 6:

Evaluate 685/100.

Since there are 2 zeros in 100, we shall place the decimal point after two places counting from the ones place.

685/100 = 6.85.

Question 7:

Five friends went to a restaurant. The total bill was ₹ 2500. In what way they should split the bill so that each of them has to pay an equal amount?

Total amount = ₹ 2500

Number of person = 5

Amount each one has to pay = ₹ 2500/5 = ₹ 500.

Question 8:

What is the remainder when 2765 is divided by 6?

We see that 6 × 460 = 2760 and 6 × 461 = 2766

∴ 2765 = 6 × 460 + 5

Thus, 6 divides 2765 leaving a remainder of 5.

Question 9:

The cost of a per night stay at a hotel is ₹785. When checking out from the hotel, a man pays an amount of ₹3140. How many nights did he stay at the hotel?

Cost of one night at hotel = ₹785

Total amount paid = ₹3140

Number of nights = 3140/785 = 4

Therefore, he stayed for 4 nights at the hotel.

Question 10:

Divide 2.25 by 0.005.

2.25/0.005 = 225000/500 = 2250/5 = 450.

Video Lesson on How to Divide Numbers

solve the division problems and match them to their solutions

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solve the division problems and match them to their solutions

Practice Questions

1. Divide 2738 by 12.

2. The capacity of a glass is 300 ml. How many such glasses can be filled from 6 litres bottle of water?

3. What will be the remainder when 56846 is divided 4.

4. What is the greatest common number which can divide 240, 225 and 65?

5. Evaluate 29812/100.

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How to Do Long Division: Step-by-Step Instructions

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A long division problem on a blackboard

In math, few skills are as practical as knowing how to do long division . It's the art of breaking down complex problems into manageable steps, making it an essential tool for students and adults alike.

This operation has many practical uses in our daily lives. For instance, imagine you have a bag of 2,436 candies and want to share them equally among 4 friends. Long division helps you determine that each friend gets 609 candies, ensuring everyone gets their fair share.

Let's dive into the fundamentals of long division and learn about other everyday situations where we can put it to use.

What Is Long Division?

How to do long division in simple steps, long division method: an apple example, using long division in everyday life, how to divide a decimal point by a whole number, practice problems and answers.

Long division is a handy way to divide big numbers by smaller ones, helping us figure out how many times one number fits into another. It turns a tricky math problem into easier steps.

When we do long division, we work with four main parts:

  • the big number we want to divide (called the " dividend ")
  • the smaller number we're dividing by (the " divisor ")
  • the answer to our division (the " quotient ")
  • sometimes a little bit left over (the " remainder ")

Long Division vs. Short Division

Short and long division are both methods to divide numbers, but they differ in complexity. The short-division method is a quick way to find the answer when dividing simple numbers. For example, say you want to divide 36 by 6. You write it as 36 ÷ 6, using a division sign, and quickly get the answer, which is 6.

Long division is used for bigger, more complicated numbers, typically two or more digits. This method involves several steps, like writing out the numbers neatly and carefully.

Let's dive into long division with a clear example. We'll use 845 ÷ 3 to walk through this step-by-step process:

  • Set up the problem. Write the dividend (845) under the division bar and the divisor (3) outside the bar.
  • Divide. Look at the first digit of the dividend (8). How many times does 3 go into 8? Twice, because 3 x 2 = 6, and that's the closest we can get without going over. Write the 2 above the division bar, over the 8.
  • Multiply. Multiply the quotient (2) by the divisor (3). (2 x 3 = 6). Write 6 under the 8.
  • Subtract. Subtract 6 from 8 to get 2. Draw a line under the 6, subtract, and write 2 below the line.
  • Bring down the next digit. Now, bring down the next digit of the dividend, which is 4, to sit next to the 2, making 24.
  • Repeat the steps. 3 goes into 24 eight times (3 x 8 = 24), so write 8 above the bar next to the 2. Subtract 24 from 24 to get 0. Now, follow the same process you used in steps 1 through 5 and bring down the last digit, which is 5, to form 05. The number 3 goes into 5 once (3 x 1 = 3), leaving a remainder of 2. Write the 1 above the bar and the remainder 2 below after subtracting 3 from 5.
  • The final answer with a remainder. You've divided 845 by 3 to get a final answer of 281 with a remainder of 2.
  • Convert the remainder to decimal form. Depending on how far along you are in learning long division, this may be your final answer. If you've progressed to decimals, you will add .0 to 845 and put a decimal point above the division bar, right after the 1. Bring 0 down to form 20. The number 3 goes into 20 six times (3 x 6 = 18). Write 6 after the decimal point above the division bar. Normally, you would continue adding another 0 after 845. until there is no remainder, but since 20 – 18 = 2, you would be repeating this process infinitely because 3 does not divide evenly into 845. Instead, you will draw a horizontal line over the 6 in 281.6 to indicate that it is a repeating decimal. A calculator would show the answer as 281.666667 to indicate that the repeating decimal rounds up.

Now let's use a practical example to work through the long division process.

Imagine you just went apple picking and came home with a massive haul of delicious fruit. In your kitchen, you have 456 apples, and you want to share them equally among 3 baskets to give to your friends, so you're dividing 3 by 456 (456 ÷ 3).

To figure out how many apples go into each basket, you'd tackle the division problem step by step.

  • 3 goes into the first digit (4) once, so you write 1 above the division bar, above the 4 in 456. Then you show the subtraction: 4 – 3 = 1.
  • Bring down the next digit (5) to form 15. 3 goes into 15 five times (3 x 5 = 15), so you write 5 above the division bar, above the 5 in 456. Then you show the subtraction: 15 – 15 = 0.
  • Bring down the final digit (6) to form 06. 3 goes into 6 twice (3 x 2 = 6), so you write 2 above the division bar, above the 2 in 456. Then you show the subtraction: 6 – 6 = 0.
  • Since there is no remainder left to divide, you quotient is now written atop the division bar: 152. You will need to place 152 apples in each of the 3 baskets to evenly distribute the 456 apples.

Long division also pops up in real-life situations . Think about when you need to divide something, like pizza or cake, into equal parts.

Want to cut a large recipe in half or figure out how many days are left till summer vacation? Long division can help with that. It's a great way to help us figure out those splits and manage resources better.

And, of course, practicing long division sharpens our problem-solving skills . It teaches us to tackle big problems step by step, breaking them down into smaller, more manageable pieces. This approach is super helpful in math and figuring out all sorts of challenges we might face.

So, long division is more than just a bunch of steps we follow. It's a key that unlocks a lot of doors in the world of math and beyond, helping us understand and connect different concepts and apply them in all sorts of ways.

Dividing decimals by whole numbers is useful in our everyday lives. For instance, if you're splitting a sum of money equally among a certain number of people, you'll need to divide the total (a decimal) by the number of people (a whole number) to determine how much each person gets.

Dividing a decimal point (decimal number) by a whole number is similar to regular division, but you must be mindful of the placement of the decimal point. Here's how to do it:

Example : Divide 0.5 by 5.

  • Set up the problem. Begin by setting up the division, with 0.5 as the dividend (the number you're dividing, which will be under the division bar) and 5 as the divisor (the number you're dividing by, which will be to the left of the division bar).
  • Begin dividing. 5 goes into the first digit of the dividend 0 times, so you'll write 0 above the division bar, above the 0 in 0.5, and place a decimal point after the 0 you just wrote. It should be directly above the decimal point in the dividend.
  • Bring down the next digit. Bring down the 5 to form 05 (you do not bring the decimal down). 5 goes into 5 once (5 x 1 = 5), so you'll write 1 above the division bar, above the 5 in 0.5.
  • Show the final answer. When you show the subtraction (5 – 5 = 0), you'll have no remainder. This means the number above the division bar is your final answer: 0.1.

Let's put our long division skills to the test with some word problems. Tackle these problems one step at a time, and don't rush. If you get stuck, pause and review the steps. Remember, practice makes perfect, and every problem is an opportunity to improve your long-division skills.

1. Emma has 672 pieces of candy to share equally among her 4 friends. How many pieces of candy does each friend get?

Solution : To find out, divide 672 by 4. Start with the first part of 672, which is 6, and see how many times 4 can fit into it. It fits 1 time, leaving us with 2. Bringing down the 7 turns it into 27, which 4 fits into 6 times, leaving us with 3. Finally, bringing down the 2 to join the remaining 3 makes 32, which 4 divides into 8 times. So, each friend gets 168 pieces of candy.

2. A teacher has 945 stickers to distribute equally in 5 of her classes. How many stickers does each class get?

Solution : We'll divide 945 by 5. Looking at 9 first, 5 goes into it 1 time. With 4 leftover, we bring down the 4 from 945 to get 44, which 5 divides into 8 times with another 4 leftover. Lastly, bringing down the 5 to the remaining 4 makes 45, which 5 divides into 9 times. Therefore, each class receives 189 stickers.

3. A library has 2,310 books to be placed equally on 6 shelves. How many books will each shelf contain?

Solution : Divide 2,310 by 6. Starting with 23, 6 goes into it 3 times with 5 leftover. After subtracting, we bring down the 1 to get 51, which 6 divides into 8 times with 3 leftover. Bringing down the 0 to the remaining 3 gives us 30, which 6 divides into 5 times. So, each shelf will have 385 books.

This article was updated in conjunction with AI technology, then fact-checked and edited by a HowStuffWorks editor.

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Complete the the Division Patterns Game

Practice the superpower of division by learning how to complete the division patterns..

Complete the the Division Patterns Game

Know more about Complete the the Division Patterns Game

The game requires students to work with a set of problems on division and use their conceptual understanding to find answers to a group of problems. Here the rigor is beautifully balanced by asking students to identify and apply patterns to divide multiples of 10. Students will drag and drop the numbers at the correct places to solve the problems.

Divide Objects into Equal Groups Game

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  1. How to solve division problems

    solve the division problems and match them to their solutions

  2. Division Problem Solving with Five Ways to Solve...FREE Worksheets

    solve the division problems and match them to their solutions

  3. Division Problem Solving with Five Ways to Solve...FREE Worksheets

    solve the division problems and match them to their solutions

  4. Use sharing to solve division problems

    solve the division problems and match them to their solutions

  5. Easy Trick to Solve the Division Problems

    solve the division problems and match them to their solutions

  6. Solving Division Problems Using an Algorithm

    solve the division problems and match them to their solutions

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  1. Common division method

  2. LONG DIVISION METHOD

  3. Explaining practice problems on long division with 2 digit divisors

  4. division using multiple

  5. Using Place Value Strategies to Solve Division & Multiplication Problems

  6. Division ➗ Word Problems|| Maths Division|| Learn basic Division || Mathematics

COMMENTS

  1. Microsoft Math Solver

    Microsoft Math Solver - Math Problem Solver & Calculator Type a math problem Solve trigonometry Get step-by-step explanations See how to solve problems and show your work—plus get definitions for mathematical concepts Graph your math problems Instantly graph any equation to visualize your function and understand the relationship between variables

  2. Basic Division Worksheets

    These basic division worksheets should be your obvious choice if you intend to equip you grade 3 and grade 4 kids with adequate practice in dividing whole numbers within 100. Get a vivid picture of the division vocabulary and steps involved in solving division problems from the printable charts, and solve practice problems involving quotients ...

  3. Mathway

    Free math problem solver answers your algebra homework questions with step-by-step explanations.

  4. Practice Solving Division Problems

    18 ÷ 9 = 2 Each class will receive 2 boxes of erasers. Division problems nº 2 My town has a water supply beside the big gardens on the tallest hill, to make sure there is enough water for the irrigation, but there are only 56 gallons of water currently in the supply.

  5. How to Solve Division Problems and Find the Right Answer

    Follow these steps: 1. Using a calculator or pencil and paper, multiply the quotient by the divisor. 2. If the answer to the division problem has a remainder, add the remainder to the result of the multiplication. 3. If the answer you get is the same as the dividend, then you've solved the division problem correctly.

  6. Long Division Calculator with Remainders

    > Long Division Calculator with Remainders Long Division Calculator with Remainders Calculator Use Divide two numbers, a dividend and a divisor, and find the answer as a quotient with a remainder. Learn how to solve long division with remainders, or practice your own long division problems and use this calculator to check your answers.

  7. Division in Math

    In our case, 3 goes into 15 a total of five times. 3. Divide it by the divisor and write the answer on top as the quotient. Now that we know that 15 ÷ 3 = 5, it's time to write it into our equation. Go ahead and write 5 behind the equals sign or standing tall at the top of your division bar. 4.

  8. Division

    Example: there are 12 chocolates, and 3 friends want to share them, how do they divide the chocolates? 12 Chocolates. 12 Chocolates Divided by 3. Answer: 12 divided by 3 is 4. ... When we know a multiplication fact we can find a division fact: Example: 3 × 5 = 15, so 15 / 5 = 3. Also 15 / 3 = 5. Why? Well, think of the numbers in rows and ...

  9. Division Word Problems Worksheets

    Division Word Problems for Beginners. These printable worksheets feature simple division word problems. The divisors are in the range 2 to 9. The quotients are in the range 2 to 10. These worksheets are building blocks for children. Download the set.

  10. Division Problems: Different Models and Examples

    1. Division Problems: Repetition. This is the first type of division problem you are going to learn to do. For example: In my living room, there are 120 books in total, placed on 6 shelves. Knowing that each shelf has the same number of books, calculate how many books there are on each shelf. A total number of objects: there are 120 books in total.

  11. Long Division Calculator

    Thus, the solution to the division problem is: 100 ÷ 7 = 14 R2. To continue the long division problem to find an exact value, continue the same process above, adding a decimal point after the quotient, and adding 0s to form new dividends until an exact solution is found, or until the quotient to a desired number of decimal places is determined ...

  12. Examples of Division Problems with Answers

    A sample problem might be 73 ÷ 12 = 6 R1. Middle school students learn to divide fractions and to use division to solve complex expressions. For example, your child might be asked to solve for the variable in this equation: 4x = 24. To do so, he or she must isolate x by dividing both sides by 4. The answer is x = 6. Division Problems and Solutions

  13. Match Division Solution

    Explore Amazing Worksheets on Divide 3-digit by 1-digit Numbers. View all 10 Worksheets. Math Worksheet — Match Division Solution. 3. 4. VIEW DETAILS. Math Worksheet — Sorting Division Problems. Master dividing 3-digit by 1-digit numbers with this engaging sorting division problems worksheet. 3.

  14. Problem Solving on Division

    Solution: The total number of bikes = 52 The number of rows = 4 The number of bikes in each row = 52 ÷ 4 = 13 Therefore, the number of bikes in each row is 13. Example 3: In a hall, there were 480 people. 12 people can accommodate in each row. Find how many rows required? Solution: The total number of people in the hall = 480

  15. Division Mastery: Facts & Problem-Solving Fun

    This lesson is designed to help students strengthen their understanding of division, practice division facts, and apply their knowledge to solve word problems. Through engaging activities and real-world scenarios, students will develop confidence in their division skills and enhance their problem-solving abilities.

  16. Ways to Divide & Types of Division

    Solution Step 1: Method of division. This problem has low values and each method can be used. ... There are two types of division problems and many ways to solve them, find the best option for you ...

  17. Division Word Problems (solutions, diagrams, examples, videos)

    Solution: 326 ÷ 4 = 81 remainder 2. She packed 81 boxes of cupcakes. 2 cupcakes were left unpacked. How to solve multiplication and division problems by drawing a diagram? Division: Finding the Number in Each Group. Example: Victor opened a bag of pretzels and counted 56.

  18. Solve the division problems, and match them to their solutions

    Solve the division problems, and match them to their solutions. 31r 112 31r 8 28r 58 28r 5 6,834 ÷ 242 = _____ 9,105 ÷ 325 = ______ 6,684 ÷ 212 = ______ 8,967 ÷ 289 = ______ Advertisement 1029727 is waiting for your help. Add your answer and earn points. plus Add answer +5 pts Answer 9 people found it helpful reesestacklin 6,834 242= 28r 58

  19. How to Solve Division Problems

    So, how can you solve a division problem? First, you have to know the parts of a division problem. Parts of a Division Problem There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of "people" that the number is being divided among.

  20. 25 Division Word Problems for Grades 3 to 5

    To solve this problem we could put the total number of candies (the dividend - 40 ) using the partial quotient method and divide by the total number of friends (the divisor - 8). If we do this, we would get the answer of 5 - the quotient. Each friend would get 5 pieces of candy each as 40 divided by 8 is 5.

  21. Solving Problems on Division

    Struggles with division can easily be overcome if students practice the concept in a fun and engaging way! Young learners will make connections between math and the real world as they solve a set of division word problems involving divide by scenarios. In these problems, they comprehend the scenarios and get to the result. This set of problems deals with numbers within 100.

  22. Divide Questions with Answers

    Divide Questions with Solutions. Below are some divide questions and their solutions to help students understand different concepts regarding division. Question 1: What will be the quotient if 2468 is divided by 4? Solution: Using the long division method, Therefore, 2468 ÷ 4 = 617 or 2468 = 4 × 617. Also, check: Long Division Online Calculator.

  23. How to Do Long Division: Step-by-Step Instructions

    Draw a line under the 6, subtract, and write 2 below the line. Bring down the next digit. Now, bring down the next digit of the dividend, which is 4, to sit next to the 2, making 24. Repeat the steps. 3 goes into 24 eight times (3 x 8 = 24), so write 8 above the bar next to the 2. Subtract 24 from 24 to get 0.

  24. Complete the the Division Patterns Game

    The game requires students to work with a set of problems on division and use their conceptual understanding to find answers to a group of problems. Here the rigor is beautifully balanced by asking students to identify and apply patterns to divide multiples of 10. Students will drag and drop the numbers at the correct places to solve the problems.-