To solve the equation \(3z = 15\) for \(z\) in a single step, Cassandra should divide both sides of the equation by \(3\).
So, dividing both sides by \(3\):
\[ \frac{3z}{3} = \frac{15}{3} \]
This simplifies to:
\[ z = 5 \]
Therefore, Cassandra should divide both sides of the equation by \(3\).