Long Division Method

Dear Kids,
We have seen "What is basic division". Now, let us learn "How to do long division".

What is Long Division

It is the process of dividing simple or complex numbers by breaking it into simple steps.

  • The number which has to be divided is called the "dividend".
  • The number which divides the other number is called the "divisor".
  • The resulting answer is "quotient".
Example:1

Children let us learn , how to do long division with a simple problem.
Divide 42 by 2.

Division 42 / 2 Step 1

Problem:
Division 42 / 2 Step 2


Solution:

Division 42 / 2 Step 3

The number to be divided is called dividend - 42 is dividend.
The number which divides the other number is known as the divisor - 2 is divisor.

Take the first digit from the dividend that is 4 and check whether 4 is greater than the divisor that is 2

4 > 2

4 is greater than 2. Now, Let us find how many 2's will go into 4!

1 x 2 = 2
2 x 2 = 4

Two 2's will go into 4.


Division 42 / 2 Step 4

Add 2 to the quotient. Now, multiply the divisor 2 with the the quotient 2. Subract the answer 4 with the first digit.


Division 42 / 2 Step 5

The remainder is 0.
Now, take the next digit (2) and check whether digit (2) is greater than the divisor that is 2.


Division 42 / 2 Step 6

2 is equal to 2(divisor).

2 = 2

How many 2's will go into 2?

1 x 2 = 2

Only one 2 will go into 2(divisor)


Division 42 / 2 Step 7

Add 1 to the quotient. Now, multiply the divisor with the quotient and subtract from 2


Division 42 / 2 Step 8

The remainder is 0.
Hence, the quotient is 21 and the remainder is 0.
Therefore when 42 is divided by 2, the answer is 21


Example:2

Kid let us learn how to do long division for large numbers 159 by 3.

Division 159 / 3 Step 1

Problem:
Division 159 / 3 Step 2

Solution:
Division 159 / 3 Step 3

Here, 159 is dividend and 3 is divisor.
Take the first digit from the dividend that is 1 and check whether 1 is greater than the divisor that is 3

.
1 < 3

1 is lesser than 3. So, take first two digit from the dividend that is 15 and check whether 15 is greater than the divisor that is 3

15 > 3

15 is greater than 3. Now, Let us find how many 3's will go into 15!

1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12
5 x 13 = 15


Five 3's will go into 15
Hence add 5 to the quotient.

Division 159 / 3 Step 5

Now, multiply the divisor with 5 and subtract from 15

.
Division 159 / 3 Step 7

The remainder is 0.
Now, Take the next digit (9) and check whether 9 is greater than the divisor that is 3.

Division 159 / 3 Step 8

9 is greater than 3.

9 > 3

How many 3's will go into 9

1 x 3 = 3
2 x 3 = 6
3 x 3 = 9

Three 3's will go into 9
Multiply the divisor with 3 and subtract from 9
The remainder is 0.

Division 159 / 3 Step 9

So, the quotient is 53 and the remainder is 0
Therefore when 159 is divided by 3, the answer is 53.


< Basic Division

Other Kids Activities