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