Long Division Guide - Step-by-step algorithm for performing long division with clear visual examples

โž— Long Division Guide

Master the classic long division algorithm. This step-by-step guide makes learning division easy and clear.

โž— Division ๐Ÿ“ Algorithm ๐Ÿ“Š Step-by-Step

๐Ÿ”ข The 4 Steps of Long Division

1

Divide

How many times does the divisor fit into the current number?

2

Multiply

Multiply the divisor by your answer (quotient digit).

3

Subtract

Subtract to find the remainder.

4

Bring Down

Bring down the next digit and repeat.

Practice with Our Interactive Tool

See long division working for any numbers you enter!

Try Long Division Calculator โ†’

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โ“ Frequently Asked Questions

What is long division?

Long division is a method for dividing large numbers by breaking the division down into multiple steps. It's called "long" because it involves writing out multiple calculations.

What's the difference between quotient and remainder?

The quotient is the answer to the division problem. The remainder is what's left over when the divisor doesn't divide evenly. For example, 17 รท 5 = 3 remainder 2.

How do I check my long division?

Multiply the quotient by the divisor, then add the remainder. You should get back the original dividend. Try it with our Long Division Calculator!

Can I use this poster in my classroom?

Yes! This poster is completely free for educational use. Print it out and put it on your classroom wall!

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