To find the quotient of \( \frac{1}{5} \) divided by \( 3 \), we can express this mathematically as:
\[ \frac{1}{5} \div 3 = \frac{1}{5} \times \frac{1}{3} \]
Now, we multiply the numerators and the denominators:
\[ \frac{1 \times 1}{5 \times 3} = \frac{1}{15} \]
So, the quotient of \( \frac{1}{5} \) divided by \( 3 \) is \( \frac{1}{15} \).
Thus, the correct answer is:
1/15