Divisor Math

Introduction to Divisor Math:

An integer which is divided by another number, the dividend, is called as divided. The divisor is otherwise called as a factor while dividing an integer; it evenly divides the dividend without leaving a remainder. For example: 12 ÷ 3 = 4, here 12 is the dividend, 3 is the divisor and 4 is a quotient. Let us see about divisor math in this article.

Worked Examples to Divisor Math

Example 1 to Divisor Math:

Find the quotient for the problem using divisor.

84 ÷ 4

Solution:

Step 1:

Write the divisor 4 out of the division brackets and dividend 84 inside the division bracket.

______
4) 84

Step 2:

Find the divisor 4 goes into first digit of the dividend 8. The multiplicity of 4 and 2 gives 8.

____
4 ) 84  ( 2
8
-----------
0

Step 3:

Bring down the next digit 4 of the dividend. Continue dividing 4 by 4 we get 1.

21
-----------
4) 84
8
-------------
04
04
------------
0
-------------

Hence, the problem with divisor 4 divides 84 gives the quotient of 21.

Example 2 to Divisor Math:

Find the quotient for the problem using divisor.

144 ÷ 3

Solution:

Step 1:

Write the divisor 3 out of the division brackets and dividend 144 inside the division bracket.

-----------
3) 144

Step 2:

Find the divisor 3 goes into first digit of the dividend 1. It does not go into 1.

____
3) 144  ( 0
0
-----------
14

Step 3:

Bring down the next digit of the dividend. Take two digits as a dividend as 14 and the divisor 3 go into 14 for 4 times gives the result as 12.

____
4) 144 ( 4
0
-----------
14
12
------------

Step 4:

Subtract the 12 from 14 gives 2. Bring down the next digit 4 of the dividend.

____
4) 144  (
0
----------
14
12
------------
24
------------

Step 5:

The multiplicity of 8 and 3 gives the result 24. And, then subtract the result leave a zero remainder.

____
4) 144 ( 48
0
-----------
14

12

------------

24
24
------------
0
-------------

Hence, the problem with divisor 4 divides 84 gives the quotient of 21.

Practice Problems to Divisor Math

Problem 1:

Find the quotient for the problem using divisor.

72 ÷ 2

Problem 2:

Find the quotient for the problem using divisor.

174 ÷ 3

Solutions:

1. Quotient is 36

2. Quotient is 58