# Division of Natural Numbers

**D : d = c **

The terms involved in a** division** are called, **D**, **the dividend** and,** d,**** the divisor**. The result, **c**, is ** the quotient**.

### Types of Divisions

**1. Exact Division**:

A division is** exact** when the remainder is zero.

**D = d · c **

**15 = 5 · 3 **

**2. Not exact division**:

A division is no exact when the remainder is not zero.

**D = d · c + r **

**17 = 5 · 3 + 2 **

### Properties of the Division of Natural Numbers

1. No closure

The result of dividing** two natural numbers** is not always another** natural number**.

2 : 6

2. No commutative:

**a : b ≠ b : a **

6:2 ≠ 2:6

3. Zero divided by a number equals zero.

0 : a = 0

0 : 5 = 0

**4. Division by 0 is undefined. **

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