To compute \( \frac{1}{16} \div \frac{1}{3} \), you can multiply by the reciprocal of \( \frac{1}{3} \):
\[ \frac{1}{16} \div \frac{1}{3} = \frac{1}{16} \times \frac{3}{1} = \frac{1 \times 3}{16 \times 1} = \frac{3}{16} \]
The answer is \( \frac{3}{16} \) and it is already in its simplest form.