Answer
$$\frac{16}{5}$$
Work Step by Step
Dividing by a fraction is equivalent to multiplying by its inverse:
$$\frac{16}{3x}\div \frac{5}{3x}=\frac{16}{3x}\times \frac{3x}{5}.$$
Cancel the common factor of $3x$, and the result is
$$\frac{16}{5}.$$