Using Long Division: Method and Examples

LONG DIVISION: METHOD AND EXAMPLES

Long division is probably one of the most difficult things to learn in maths. Many students struggle with the concept of long division.

Unlike other school subjects, maths require a strong level of accuracy. There is a definitive answer, and therefore you need to be able to know the process of how to reach the correct answers.

LONG DIVISION VIDEO

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LONG DIVISION WORKSHEETS

The best way to understand how to use long division correctly is simply via example. I am going to provide you with one example and a video. These will show you the step-by-step process of how to use the long division method to work out any division calculation.

Calculate 3312 ÷ 24

STEP 1 = write the numbers in the correct division format:

STEP 2 = how many times does ‘24’ go into ‘3’?

Answer = 0.
So write 0 above the line, above the number 3.

STEP 3 = how many times does ‘24’ go into ‘33’?

Answer = 1.
So write 1 above the line, above the second number 3.

You need to subtract 24 from 33.

STEP 4 = Now you have the number ‘9’. You need to bring the number ‘1’ down from the large number, and place it next to the ‘9’.

How many times does ‘24’ go into ‘91’?
Answer = 3
So write 3 at the top of the line.

You need to subtract three lots of 24 from 91.

STEP 5 = Now you have the number ‘19’. You need to bring the number ‘2’ down from the large number, and place it next to the ‘19’.

How many times does ‘24’ go into ‘192’?
Answer = 8
So write 8 at the top of the line.

STEP 6 = Because ‘24’ goes into ‘192’ exactly, that means we have completed the calculation.
So, 3312 ÷ 24 = 138

LONG DIVISION AND OTHER USEFUL RESOURCES

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This resource is packed full of maths videos, and each video focuses on a certain aspect of maths, including:
• Long division
• How to multiply
• Mean, mode, median and range
• BIDMAS
• Area, perimeter and volume
• Fractions, decimals and percentages and many more!