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