TeX Quellcode:

\begin{array}{rcl}\dfrac{z_1}{z_2} &=& \dfrac{3+5i}{-2+8i} \\ \\ &=& \dfrac{(3+5i)(-2-8i)}{(-2+8i)(-2-8i)} \\ \\ &=& \dfrac{-6-24i-10i+40}{4-64i^2} \\ \\ &=& \dfrac{34-34i}{4+64} \\ \\ &=& \dfrac{34}{68}-\dfrac{34i}{68} \\ \\ &=& \dfrac{1}{2}-\dfrac{1}{2}i\end{array}