Long Division

Long Division is one of the first method of Division you would learn in math. when doing long Division, you can either leave a remainder or keep dividing until no more Division can be performed. Let’s start our long Division with an example. Divide 235 by 5.

Long division

To do a long Division, write the Division above as:

Long divisions

In another word, put the number to be divided inside the L shape roof and the number to divide into that number on the left hand side outside the roof. Now we are ready to start the long Division calculation.

The first step is to mentally separate the number inside the roof (i.e. 253) into columns.

Long division example

We will always start from the left column and work our way towards the most right column. In the first column, we have 2 under the roof and we must divide 2 by 5. So, how many times can 5 divide into 2? Well, since 2 is smaller than 5, the answer is none or zero. So, we write zero on the top of the roof above the number 2 (still staying in the same column as two). The long Division works as follows:

Long division example 1

However many times, 5 can divide into 2, put that number where A is on top of the roof. In this case, A is zero since 2 is less than 5. Then at the bottom of 2, multiply A by the number on the left hand side of the roof (5 in this case). Since A is zero, B is also zero. So, we get:

Long division examples

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