To divide \( \frac{1}{2} \) by 4, you can multiply \( \frac{1}{2} \) by the reciprocal of 4. The reciprocal of 4 is \( \frac{1}{4} \).
So, the calculation becomes:
\[ \frac{1}{2} \div 4 = \frac{1}{2} \times \frac{1}{4} = \frac{1 \times 1}{2 \times 4} = \frac{1}{8} \]
Therefore, \( \frac{1}{2} \div 4 = \frac{1}{8} \).