Long Division

Below is the process written out in full. (It is what is called an "algorithmic process").
You will often see other versions. These are generally just a shortened version
of the process below.

Let's see how it is done with:

There are two definitions we must make first.

• the number to be divided into is known as the dividend (425 from above)
• The number which divides the other number is known as the divisor (25 from above)

	4 ÷ 25 = 0 remainder 4	The first number of the dividend 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 number 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 number 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 numbers to bring down. The answer must be 17