# Dividing Integers | Positive & Negative | Maths

Rule 1 – Division of one positive integer by another positive integer, is always a positive integer. In order to divide two positive integers we simply divide the two numbers, and add a positive sign to it.

Rule 2 – Division of two negative integers is always a positive integer. In order to divide two negative integers we simply divide the two numbers, and add a positive sign to it.

Rule 3 – In order to divide a positive integer by a negative integer, we simply divide a positive integer by a negative integer and assign a negative sign to the result.

Rule 4 – In order to divide a negative integer by a positive integer, we simply divide a negative integer by a positive integer and assign a negative sign to the result.

## Dividing Integers Examples –

Example 1

Divide 84 by 12

Explanation

Division of one positive integer by another positive integer, is always a positive integer. In order to divide two positive integers, we simply divide the two numbers and add a positive sign to it.
Since, both 84 and 12 are positive.
We simply divide one positive integer by another positive integer i.e,
84 ÷ 12 = 7
and add the positive sign to result i.e, + 7
Hence, 84 ÷ 12 = ( +7 ) or 7

Example 2

Divide ( -56 ) by ( -8 )

Explanation

Division of two negative integers is always a positive integer. In order to divide two negative integers, we simply divide the two numbers and add a positive sign to it.
Since, both -56 and -8 are negative.
We simply divide the two integers, ignoring their signs:
56 ÷ 8 = 7
Add the positive sign to result i.e, + 7
Hence, ( -56 ) ÷ ( -8 ) = ( +7 ) or 7

Example 3

Divide ( 48 ) by ( -6 )

Explanation

In order to divide a positive integer by a negative integer, we simply divide a positive integer by a negative integer and assign a negative sign to the result.
Since, ( 48 ) is positive and -6 is negative.
We simply divide the two integers, ignoring their signs:
( 48 ) ÷ 6 = 8
and assign the negative sign to result i.e, – 8
Hence, ( 48 ) ÷ ( -6 ) = ( -8 )

Example 4

Divide ( -56 ) by ( 8 )

Explanation

In order to divide a negative integer by a positive integer, we simply divide a negative integer by a positive integer and assign a negative sign to the result.
Since, ( -56 ) is negative and 8 is positive.
We simply divide the two integers, ignoring their signs:
( 56 ) ÷ 8 = 7
and assign the negative sign to result i.e, – 7
Hence, ( -56 ) ÷ ( 8 ) = ( -7 )