This **long division calculator** divides two numbers: a dividend and a divisor and returns the number quotient along with a whole number remainder.

## Long division rules

The long division rules are explained in 12 steps for a case in which the dividend is a 3 length number, while the divisor is a 2 length one:

1st step: establish the dividend (the number to be divided) and the divisor (is the number “y” we often refer to in sentences like: divide the dividend x by the divisor y).

2^{nd} step: divide the first number of the dividend (meaning first number of the dividend from left to right) by the divisor and note the whole number that results from this first operation – this is the first number from the quotient.

3^{rd} step: the whole number from 2^{nd} step should be placed on top, right below the dividend in order to start the quotient. That whole number should be multiplied at this step by the divisor and the result should be placed under the number that was divided at step 2.

4^{th} step: Subtract the number obtained at step 3 from the number that got divided at step 2. Note below the result of the subtraction.

5^{th} step: Right next to the number obtained at step 4 by subtraction bring down the next number of the dividend (from left to right).

6^{th} step: divide the number that results from step 5 by the divisor.

7^{th} step: The whole number that results from step 6 should be placed in the second position of the quotient (right next to the first number of the quotient that was obtained at step 2) – this is the second number of the quotient. Multiply the whole number obtained at this step by the divisor and place the result under the number divided.

8^{th} step: Subtract the number obtained at step 7 from the number above it.

9^{th} step: Bring down the next number from the dividend (as in step 5 for instance) – this is the last number of the dividend from left to right.

10^{th} step: Divide the number from step 9 by the divisor.

11^{th} step: The whole number that results from step 10 is placed in the next position of the quotient and then multiply that number by the divisor and put the result under the number divided.

12^{th} step: Subtract the result of the 11 step from the number above it and this is the step where you get the remainder and the quotient.

In case you want to perform this calculation quicker than by hand you can use our *long division calculator*.

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