To divide \( \frac{1}{3} \) by 6, you can multiply \( \frac{1}{3} \) by the reciprocal of 6.
The reciprocal of 6 is \( \frac{1}{6} \).
So, the calculation becomes:
\[ \frac{1}{3} \div 6 = \frac{1}{3} \times \frac{1}{6} = \frac{1 \times 1}{3 \times 6} = \frac{1}{18} \]
Thus, \( \frac{1}{3} \div 6 = \frac{1}{18} \).