**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 )