Integers can be **both positive and negative**.

To understand the integer division, you should have knowledge of some basic division rules.

**How to divide integers?**

There are **two possible scenarios** for division of integers;

(a) Both **numerator and denominator** are of **same sign**.

(b) **Numerator and denominator** are of **different signs**.

We will learn both the scenarios in details.

**Dividing numerator and denominator with same sign**

The division of integer with same sign **always results in positive number**.

There are two case possible in this scenario;

(a) **Both numerator and denominator are positive integer**.

(b) **Both numerator and denominators are negative integer**.

In both the cases, the division results in positive number.

Examples of same sign integer division

Examples of same sign integer division

**Example 01**

**Example 02**

**Example 03**

**Example 04**

**Dividing numerator and denominator with different sign**

The division of integers with different signs **always results in negative number**.

In order to solve the division, do the following steps;

(A) Find the absolute value of division

(B) Put the -ve sign on the final answer

**Examples of different sign integer division**

**Example 01**

**Example 02**

**Solved Examples – Integer Division**

**(01) Divide the below integers.**

Solution

(i)** -15 ÷ 3**

\mathtt{\Longrightarrow \frac{-15}{3}}\\\ \\ \mathtt{\Longrightarrow \ -5}

-5 is the solution.

(ii) **-20 ÷ -2**

\mathtt{\Longrightarrow \frac{-20}{-2}}

Negative sign cancel each other.

\mathtt{\Longrightarrow \frac{20}{2}}\\\ \\ \mathtt{\Longrightarrow \ 10} **Number 10 is the solution.**

(iii) **39 ÷ -13**

\mathtt{\Longrightarrow \frac{39}{-13}}\\\ \\ \mathtt{\Longrightarrow \ \frac{-39}{13}}\\\ \\ \mathtt{\Longrightarrow \ -3} **Number -3 is the solution.**

(iv) **49 ÷ 7**

\mathtt{\Longrightarrow \frac{49}{7}}\\\ \\ \mathtt{\Longrightarrow \ 7} **Number 7 is the solution.**

(v) **-72 ÷ -9**

\mathtt{\Longrightarrow \frac{-72}{-9}}

Negative sign cancel each other.

\mathtt{\Longrightarrow \frac{72}{9}}\\\ \\ \mathtt{\Longrightarrow \ 8} **Number 8 is the solution**.