Number System: Long Division

Long Division

Below is the process written out in full.
You will often see other versions, which are generally just a shortened version of the process below.
You can also see this done in Long Division Animation.

Let's see how it is done with:

• the number to be divided into is known as the dividend
• The number which divides the other number is known as the divisor

And here we go:

	4 ÷ 25 = 0 remainder 4	The first digit of the dividend (4) is divided by the divisor.
		The whole number result is placed at the top. Any remainders are ignored at this point.
	25 × 0 = 0	The answer from the first operation is multiplied by the divisor. The result is placed under the number divided into.
	4 – 0 = 4	Now we subtract the bottom number from the top number.
		Bring down the next digit of the dividend.
	42 ÷ 25 = 1 remainder 17	Divide this number by the divisor.
		The whole number result is placed at the top. Any remainders are ignored at this point.
	25 × 1 = 25	The answer from the above operation is multiplied by the divisor. The result is placed under the last number divided into.
	42 – 25 = 17	Now we subtract the bottom number from the top number.
		Bring down the next digit of the dividend.
	175 ÷ 25 = 7 remainder 0	Divide this number by the divisor.
		The whole number result is placed at the top. Any remainders are ignored at this point.
	25 × 7 = 175	The answer from the above operation is multiplied by the divisor. The result is placed under the number divided into.
	175 – 175 = 0	Now we subtract the bottom number from the top number.
		There are no more digits to bring down. The answer must be 17

Posted in: Long Division, Number System