How to divide numbers to the power of something by a number to the power of something

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I'm having troubling dividing numbers to the power of something by another number to the power of something... For example,

$$C\,(-4)^n = -2\,C\,(-4)^{n-1} + 8\,C\,(-4)^{n-2} + 3\,(-4)^n$$

I'm dividing both sides by $(-4)^{n-2}$ ...

I understand that $\;8\,C\,(-4)^{n-2} / (-4)^{n-2}\;$ is $\,8\,C\,$ but all other calculations i.e. $\,C\,(-4)^n / (-4)^{n-2}$, $-2\,C\,(-4)^{n-1} / (-4)^{n-2}$ and $3\,(-4)^n / (-4)^{n-2}\;$ I don't know how to do.

Please help!