# How do I divide complex numbers in standard form?

##### 2 Answers

Assuming you have two complex numbers

you can start by treating the constant

and you were asked to evaluate

In most cases you will end up with a remainder which needs have it's denominator converted into a non-complex form.

This is easier to see if we work with an example:

(Warning: I've made up these numbers on the fly, so the answer is likely to be ugly)

Suppose you were asked to divide:

Either through observation or synthetic division you could obtain

or

We wish to clear the complex component of the denominator, so

In this way, remembering that