Long Division Worksheets

Free Long Division Practice Worksheets and Answer Keys

Free Long Division Worksheets for Students

Are you looking for free Long Division Practice Worksheets to share with your child at home or with your students in your classroom?

This page shares a several free PDF Long Division Practice Worksheets that are easy to download, print, or share online. Each long division worksheet includes an answer key on the second page so that students can check their work and assess their progress (you have the option to print the worksheets with or without the answer key).

Any of our free long division worksheets can be easily downloaded by clicking any of the blue text links below the worksheet preview images below. When you click the blue text link, a PDF preview window will open, giving you the option to download the worksheet to your computer or to send it to your printer directly. (Step-by-Step Guide: How to Download/Print)

Additionally, if you or your students need a quick recap of how to perform long division, there is a step-by-step review below the worksheets section on this page. Simply scroll down to the second half of this page to access this free review of long division.

If you enjoy the free long division practice worksheets shared on this page, check out our complete collection of topic-specific math worksheets for grades K-12 available in the Mashup Math Algebra Infinite Worksheet Library (all of the free worksheets on this page are samples from our Infinite Worksheet Library).

Long Division Worksheets


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Long Division: Step-by-Step Quick Review

If you need help with solving the practice problems in any of the long division worksheets above, then you will benefit from this quick review of how to perform long division.

How to Perform Long Division: Step-by-Step

Whenever you are performing long division to solve a math problem, you have to start by identifying the dividend and the divisor.

  • In math, the dividend is the number that is being divided.

  • In math, the divisor is the number that you are dividing by.

For example, consider the long division problem: 8⟌100.

In this case, 8⟌100 means 100 ÷ 8, where:

  • 100 is the dividend

  • 8 is the divisor

Note that the dividend will always be the number inside of the ⟌ bracket and the divisor will always be the number outside of it and two the left.

The result of dividing a dividend by a divisor is called a quotient.

 

Figure 01: Long Division Worksheet Review: How to identify the dividend and the divisor.

 

To perform long division to solve a division problem, you can follow these steps:

  • Step One: Start by identifying the dividend (the number that is being divided) and the divisor (the number that you are dividing by). If the problem is not already set up for you, you will have to write the divisor number, then the ⟌ bracket symbol, and then the dividend inside of it.

  • Step Two: The next step involves a process of multiplication and subtraction. Start by multiplying the divisor by the number that you initially wrote at the top of the ⟌ bracket symbol, then write this result directly below the dividend in the correct place value slot. Continue by subtracting this number from the dividend value, then draw a line beneath the numbers being subtracted and write the result directly below it.

  • Step Three: Continue by pulling down the next unused digit from the dividend (if all of the digits have been used, then you have already solved the problem). Pull down the next digit and place it directly to the right of the difference that you found at the end of Step Two.

  • Step Four: Repeat Steps Two and Three by multiplying and subtracting until every digit in the dividend has been used and there is nothing left to pill down. The full vale left above the ⟌ bracket symbol will be your final answer.

By following these four general steps to performing long division, you can solve any division problem on any of the long division practice worksheets above.

 

Figure 02: Long Division Practice Worksheets Review: How to perform long division example.