# How do you divide (-1+8i)/(-i)?

$- 8 - i = - \left(8 + i\right)$

#### Explanation:

We have

$\frac{- 1 + 8 i}{- i}$

We can express this as:

$\frac{- 1}{- i} + \frac{8 i}{- i}$

And now we simplify:

$\frac{1}{i} \left(\frac{i}{i}\right) + \frac{8}{- 1}$

$\frac{i}{- 1} + \left(- 8\right)$

$\left(- i\right) + \left(- 8\right)$

$- 8 - i = - \left(8 + i\right)$