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## How to Do Division

Last Updated: May 23, 2023 References

## Long Division

- Sample problem #1 (beginner): 65 ÷ 5 . Place the 5 outside the division bar, and the 65 inside it. It should look like 5厂65 , but with the 65 underneath the horizontal line.
- Sample problem #2 (intermediate): 136 ÷ 3 . Place the 3 outside the division bar, and the 136 inside it. It should look like 3厂136 , but with the 136 underneath the horizontal line.

- In sample problem #1 ( 5厂65 ), 5 is the divisor and 6 is the first digit of the dividend (65). 5 goes into 6 one time, so place a 1 on the top of the divisor bar, aligned above the 6.
- In sample problem #2 ( 3厂136 ), 3 (the divisor) does not go into 1 (the first digit of the dividend) and result in a whole number. In this case, write a 0 above the division bar, aligned above the 1.

- In sample problem #1 ( 5厂65 ), multiply the number above the bar (1) by the divisor (5), which results in 1 x 5 = 5 , and place the answer (5) just below the 6 in 65.
- In sample problem #2 ( 3厂136 ), there is a zero above the division bar, so when you multiply this by 3 (the divisor), your result is zero. Write a zero on a new line just below the 1 in 136.

- In sample problem #1 ( 5厂65 ), subtract the 5 (the multiplication result in the new row) from the 6 right above it (the first digit of the dividend): 6 - 5 = 1 . Place the result (1) in another new row right below the 5.
- In sample problem #2 ( 3厂136 ), subtract 0 (the multiplication result in the new row) from the 1 right above it (the first digit in the dividend). Place the result (1) in another new row right below the 0.

- In sample problem #1 ( 5厂65 ), drop the 5 from 65 down so that it’s beside the 1 that you got from subtracting 5 from 6. This gives you 15 in this row.
- In sample problem #2 ( 3厂136 ), carry down the 3 from 136 and place it beside the 1, giving you 13.

- To continue 5厂65 , divide 5 (the dividend) into the new number (15), and write the result (3, since 15 ÷ 5 = 3 ) to the right of the 1 above the division bar. Then, multiply this 3 above the bar by 5 (the dividend) and write the result (15, since 3 x 5 = 15 ) below the 15 under the division bar. Finally, subtract 15 from 15 and write 0 in a new bottom row.
- Sample problem #1 is now complete, since there are no more digits in the divisor to carry down. Your answer (13) is above the division bar.

- For 3厂136 : Continue the process for another round. Drop down the 6 from 136, making 16 in the bottom row. Divide 3 into 16, and write the result (5) above the division line. Multiply 5 by 3, and write the result (15) in a new bottom row. Subtract 15 from 16, and write the result (1) in a new bottom row.
- Because there are no more digits to carry down in the dividend, you’re done with the problem and the 1 on the bottom line is the remainder (the amount left over). Write it above the division bar with an “r.” in front of it, so that your final answer reads “45 r.1”.

## Short Division

- In order to do short division , your divisor can't have more than one digit.
- Sample problem: 518 ÷ 4 . In this case, the 4 will be outside the division bar, and the 518 inside it.

- In the sample problem, 4 (the divisor) goes into 5 (the first digit of the dividend) 1 time, with a remainder of 1 ( 5 ÷ 4 = 1 r.1 ). Place the quotient, 1, above the long division bar. Place a small, superscript 1 beside the 5, to remind yourself that you had a remainder of 1.
- The 518 under the bar should now look like this: 5 1 18.

- In the sample problem, the number formed by the remainder and the second number of the dividend is 11. The divisor, 4, goes into 11 twice, leaving a remainder of 3 ( 11 ÷ 4 = 2 r.3 ). Write the 2 above the division line (giving you 12) and the 3 as a superscript number beside the 1 in 518.
- The original dividend, 518, should now look like this: 5 1 1 3 8.

- In the sample problem, the next (and final) dividend number is 38—the remainder 3 from the previous step, and the number 8 as the last term of the dividend. The divisor, 4, goes into 38 nine times with a remainder of 2 ( 38 ÷ 4 = 9 r.2 ), because 4 x 9 = 36 , which is 2 short of 38. Write this final remainder (2) above the division bar to complete your answer.
- Therefore, your final answer above the division bar is 129 r.2.

## Dividing Fractions

- In the sample problem, 5 goes into 6 one time with a remainder of 1. Therefore, the new whole number is 1, the new numerator is 1, and the denominator remains 5.
- As a result, 6/5 = 1 1/5 .

## Dividing Exponents

## Dividing Decimals

- In the sample problem, you only need to move the decimal point over one spot for both the divisor and dividend. So, 0.5 becomes 5, and 65.5 becomes 655.
- If, however, the sample problem used 0.5 and 65.55, you’d need to move the decimal point 2 places in 65.55, making it 6555. As a result, you’d also have to move the decimal point in 0.5 2 places. To do this, you’d add a zero to the end and make it 50.

- Divide 5 into the hundredths digit, 6. You get 1 with a remainder of 1. Place 1 in the hundredths place on top of the long division bar, and subtract 5 from 6 below the number six.
- Your remainder, 1, is left over. Carry the first five in 655 down to create the number 15. Divide 5 into 15 to get 3. Place the three above the long division bar, next to the 1.
- Carry down the last 5. Divide 5 into 5 to get 1, and place the 1 on top of the long division bar. There is no remainder, since 5 goes into 5 evenly.
- The answer is the number above the long division bar (131), so 655 ÷ 5 = 131 . If you pull out a calculator, you’ll see that this is also the answer to the original division problem, 65.5 ÷ 0.5 .

## Practice Problems and Answers

## Community Q&A

## Video . By using this service, some information may be shared with YouTube.

## You Might Also Like

- ↑ https://www.mathsisfun.com/long_division.html
- ↑ https://www.k5learning.com/blog/step-step-guide-long-division
- ↑ https://www.bbc.co.uk/bitesize/topics/znmtsbk/articles/zqpddp3
- ↑ http://www.mathsisfun.com/fractions_division.html
- ↑ https://www.ck12.org/arithmetic/divide-fractions/lesson/Quotients-of-Fractions-MSM6/?referrer=concept_details
- ↑ http://www.mathsisfun.com/algebra/variables-exponents-multiply.html
- ↑ https://www.mathsisfun.com/dividing-decimals.html
- ↑ https://www.bbc.co.uk/bitesize/topics/zh7xpv4/articles/zwdc4xs

## About This Article

## Reader Success Stories

## Did this article help you?

## Featured Articles

## Trending Articles

## Watch Articles

## How to Solve Division Problems

## What Is a Remainder in Math?

## Divide Two Numbers

## What is Division?

## Division Definition

## Division Symbol

## Parts of Division

## Division Algorithm

Dividend = (Divisor × Quotient) + Remainder

## How to do Division?

- Step 1: Draw the division symbol ⟌ and write divisor (5) on its left side and dividend (65) enclosed under this symbol.
- Step 2: Take the first digit of the dividend from the left (6). Check if this digit is greater than or equal to the divisor. [If the first digit of the dividend is less than the divisor, then we consider the first two digits of the dividend]
- Step 3: Then divide it by the divisor and write the answer on top as the quotient. Here, the quotient of 6 ÷ 5 is 1.
- Step 4: Subtract the product of the divisor and the digit written in the quotient (5 × 1) from the first digit of the dividend and write the difference below. Here, the difference is 6 - 5 = 1.
- Step 5: Bring down the next digit of the dividend (if present). The next digit in the dividend is 5.
- Step 6: Repeat the same process until you get the remainder, less than the divisor.

Look at the image given below showing the above steps of division.

## Division with Remainders

## Properties of Division

- Division by 1: Any number divided by 1 results in the number itself. In other words, if divisor = 1, then dividend = quotient.
- Division by 0: The value of a number divided by 0 is not defined, i.e. n/0 = not defined, where n is any number.
- Division by itself: If we divide a number by itself, we will always get 1 as the answer. In other words, if dividend = divisor, then quotient = 1.
- Division of 0 by any number: 0 divided by any number always results in 0. Some examples are 0 ÷ 4 = 0, 0 ÷ 9 = 0, 0 ÷ 5754 = 0, etc.
- Division by 10: If we divide a number by 10, then the digit at the ones place will always be the remainder and the remaining digits on the left will be the quotient. For example, 579 ÷ 10 = 57 R 9.
- Division by 100: If we divide a number by 100, then the number formed from the ones place and the tens place digits will always be the remainder and the remaining digits on the left will be the quotient. For example, 8709 ÷ 100 = 87 R 9.

## Division Examples

go to slide go to slide go to slide

## Division Practice Questions

## FAQs on Division

## What are the Two Types of Division?

## What are the Three Parts of Division?

## What is Long Division Method?

## What are the Steps of the Division?

The steps to do division are listed below:

- Step 1: Take the first digit of the dividend. Check if this digit is greater than or equal to the divisor.
- Step 2: Then divide it by the divisor and write the answer on top.
- Step 3: Subtract the result from the digit and write below.
- Step 4: Again, repeat the same process.

## How do you Divide when the Divisor is Bigger Than the Dividend?

## How to Divide Decimals?

## How to Use Division Calculator?

## What are the Rules of Multiplication and Division of Integers?

The rules for the multiplication and division of integers are given below:

- Positive ÷ / × positive = positive
- Negative ÷ / × negative = positive
- Negative ÷ / × positive = negative
- Positive ÷ / × negative = negative

## What is the Division Symbol?

## Why Division by Zero is Undefined?

## Get step-by-step explanations

## Graph your math problems

## Practice, practice, practice

## Get math help in your language

## Dividing Fractions

Turn the second fraction upside down, then multiply.

## There are 3 Simple Steps to Divide Fractions:

Step 1. Turn the second fraction upside down (it becomes a reciprocal ):

Step 2. Multiply the first fraction by that reciprocal :

Step 3. Simplify the fraction:

## With Pen and Paper

And here is how to do it with a pen and paper (press the play button):

20 divided by 5 is asking "how many 5s in 20?" (=4) and so:

Now look at the pizzas below ... how many "1/6th slices" fit into a "1/2 slice"?

So now you can see why 1 2 ÷ 1 6 = 3

In other words "I have half a pizza, if I divide it into one-sixth slices, how many slices is that?"

## Another Example: 1 8 ÷ 1 4

Step 1. Turn the second fraction upside down (the reciprocal ):

## Fractions and Whole Numbers

What about division with fractions and whole numbers?

Make the whole number a fraction, by putting it over 1.

## Example: 2 3 ÷ 5

2 3 × 1 5 = 2 × 1 3 × 5 = 2 15

The fraction is already as simple as it can be.

## Example: 3 ÷ 1 4

3 1 × 4 1 = 3 × 4 1 × 1 = 12 1

## And Remember ...

You can rewrite a question like "20 divided by 5" into "how many 5s in 20"

So you can also rewrite "3 divided by ¼" into "how many ¼s in 3" (=12)

## Why Turn the Fraction Upside Down?

Because dividing is the opposite of multiplying!

## Example: dividing by 5 / 2 is the same as multiplying by 2 / 5

Trending Post : Teaching Fractions with Food

## 5 Fun Division Word Problems | Practice Multiple Ways of Solving | Free Printable

## Division Problems

When we hit the division problem in his math book, he wasn’t quite as sure what to do.

## How to Solve Division Word Problems

Step 1: division word problem solving by grouping.

## Step 2: Solving Division Word Problems by Repeated Subtraction

## Step 3: Division Word Problem Solving with Arrays

They now have an array that is a 3 by 6. The answer to the division problem is 6.

Want to know how to use arrays to divide when the numbers are larger? Check out this POST !

## Step 4: Number Line to Solve Division Word Problems

## Step 5: Create an Equation

That number goes in the last box.

Get This Cut and Paste Division Assessment at my TpT Store .

## Division Word Problems Printable

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## Information

## Long Division

## Shorter Division

## The Long Division

## Santa's Gifts

## Calculator Match

## Sapphires and Rubies

## Divide and Conquer

## Dividend Challenge

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## Prove Yourself

Teach your kids about fact families with this fun printable math worksheet! See more

## Equivalents Maze

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## How to Solve Division Word Problems

## Turn the English into Algebra

The first rule of any word problem is to think in math terms. To do that, you’ll need to:

- Read the whole word problem.
- Write down what is asked for. (As students work through the word problem, they can get lost and start to work in a different direction. Having the actual request written down, will help to keep them focus on the goal.)
- Sketch out the word problem, if possible.
- Write down the signs where you see key words. For example, write + where you see add, increase, combine, or – where you see less, difference, reduce.
- Find or work out any formulas.

## Division word problem example

Let’s work through a division word problem:

First, read through the whole word problem once more.

Now, what is being asked? We want to know how many candies are in each of the 5 bags .

Write down the math signs where you see key words in the text:

In the above, we can see there are two calculations to be completed.

We need to divide the 525 candies by 5 bags:

The answer is there are 105 candies in each bag.

For practice, we have division word problems worksheets in our grade 3 word problems section .

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## Basic Division

For example, you might see a problem that looks like this:

Eighteen divided by two equals nine. Two times nine equals eighteen.

Let’s try another one. Our new problem is:

Notice that these can also be said opposite of each other:

## IMAGES

## VIDEO

## COMMENTS

1 Write out the problem using a long division bar. The division bar ( 厂 ) looks like an ending parentheses attached to a horizontal line that goes over the string of numbers beneath the bar.

In this topic, we will multiply and divide whole numbers. The topic starts with 1-digit multiplication and division and goes through multi-digit problems. We will cover regrouping, remainders, and word problems.

In math division problems, there are a number of formats for determining how many times one number will go into another. Solve division problems with tips fr...

Division 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? 12 Chocolates 12 Chocolates Divided by 3 Answer: 12 divided by 3 is 4. They get 4 each. Symbols ÷ /

What do we do to solve them? 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. Find:

Ways to Divide Lesson Summary Types of Division Division is one of the four basic math operations with addition, subtraction, and multiplication. Division is an important operation because it...

How to Solve Division Problems. Part of the series: Math Problems & History. To solve division problems, determine if the divisor will go into the dividend, ...

Step-by-Step Set up the division problem with the long division symbol or the long division bracket. Put 487, the dividend, on the inside of the bracket. The dividend is the number you're dividing. Put 32, the divisor, on the outside of the bracket. The divisor is the number you're dividing by.

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.

Divide Two Numbers This page will show you a complete "long division" solution for the division of two numbers. Fill in the division problem with your numbers, then click "Divide." Quick! I need help with: Help typing in your math problems

But what I want to do is introduce another maybe a little more interesting way to solve a long-division problem. So once again, let's do our 16 goes into 1,388. And what we're going to do is give us much more leeway for approximation, or for essentially guessing. And what we want to do is just guess. We're going to make guesses for how many ...

Fortunately, there's a very effective way to check that your answer is correct. 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.

The steps to do division are listed below: Step 1: Take the first digit of the dividend. Check if this digit is greater than or equal to the divisor. Step 2: Then divide it by the divisor and write the answer on top. Step 3: Subtract the result from the digit and write below. Step 4: Again, repeat the same process.

Online math solver with free step by step solutions to algebra, calculus, and other math problems. Get help on the web or with our math app.

Home Blog Step by Step Guide for Long Division Step by Step Guide for Long Division What is long division? Long division is a way to solve division problems with large numbers. Basically, these are division problems you cannot do in your head. Getting started

Step 1. Turn the second fraction (the one you want to divide by) upside down (this is now a reciprocal ). Step 2. Multiply the first fraction by that reciprocal Step 3. Simplify the fraction (if needed) Example: Example: 1 2 ÷ 1 6 Step 1. Turn the second fraction upside down (it becomes a reciprocal ): 1 6 becomes 6 1 Step 2.

Step 1: Division Word Problem Solving by Grouping Step 2: Solving Division Word Problems by Repeated Subtraction Step 3: Division Word Problem Solving with Arrays Step 4: Number Line to Solve Division Word Problems Step 5: Create an Equation Division Word Problems Printable

Practicing division problems is a great way for kids to become naturals at solving them. Division word problems may seem difficult to some initially, but this too can easily be changed with a little practice. Division Problems Online - Division Problems for Kids - Math Blaster Account Personal Information Manage Kids Download Games Manage Game

How to Solve Division Word Problems In grade 3 students move onto more complex word problems using multiplication and division. Below we'll take you through a step-by-step guide on how to solve a simple division word problem. Turn the English into Algebra The first rule of any word problem is to think in math terms. To do that, you'll need to:

To divide means to split up a large number into smaller groups of numbers. For example, of 10. In order to do basic division, it is very important that you know your multiplication. tables (or times tables). This problem would be read, "Eighteen divided by 2 equals _____.". In order to solve.

Learn how to solve word problems involving fractions and division, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.