Complex Division as Product with Conjugate over Square of Modulus

Theorem
Let $z_1$ and $z_2$ be complex numbers.

Then the operation of division can be expressed as:
 * $\dfrac {z_1} {z_2} = \dfrac {z_1 \overline {z_2} } {\cmod {z_2}^2}$

where:
 * $\overline {z_2}$ denotes the complex conjugate of $z_2$
 * $\cmod {z_2}$ denotes the complex modulus of $z_2$.