To divide \( \frac{1}{4} \) by \( 5 \), you can multiply \( \frac{1}{4} \) by the reciprocal of \( 5 \), which is \( \frac{1}{5} \):
\[ \frac{1}{4} \div 5 = \frac{1}{4} \times \frac{1}{5} = \frac{1 \times 1}{4 \times 5} = \frac{1}{20} \]
So, \( \frac{1}{4} \div 5 = \frac{1}{20} \).