Answer
$$\frac{x^3}{y}$$
Work Step by Step
Recall, one never divides by a fraction. Rather, if we want to divide by a fraction, we multiply by the reciprocal of the fraction. Recall, the reciprocal of a fraction is that fraction with the numerator and the denominator switched. Thus, we find:
$$ \frac{x^5}{y^2}\div \frac{x^2}{y}\\ \frac{x^5}{y^2}\times \frac{y}{x^2}\\ \frac{x^3y}{y^2}\\ \frac{x^3}{y}$$