To simplify \(\frac{1}{16} \div \frac{1}{3}\), you can multiply by the reciprocal of the divisor:
\[ \frac{1}{16} \div \frac{1}{3} = \frac{1}{16} \times \frac{3}{1} \]
Now, multiply the fractions:
\[ \frac{1 \times 3}{16 \times 1} = \frac{3}{16} \]
So, \(\frac{1}{16} \div \frac{1}{3} = \frac{3}{16}\).