Division

To divide is to turn a whole into parts.

In Mathematics

Common examples of using the division operator:

$8 \div 4 = 2$, r = 0 $11 \div 5 = 2$, r = 1

In the latter example, 11 is called dividend, 5 is called divisor, 2 is called quotient and 1 is called remainder. In normal division, we only get remainders when we require the quotient to be a whole number.

Complex Numbers

$\frac{z_1}{z_2} = \frac{z_1}{z_2} * \frac{zhat_1}{zhat_2} = \frac{(a + ib)(c - id)}{c^2 + d^2} = \frac{(ac + bd) + i(bc - ad)}{c^2+d^2}$