To divide \( \frac{7}{6} \) by 4, you can rewrite 4 as \( \frac{4}{1} \) and then multiply by the reciprocal:
\[ \frac{7}{6} \div 4 = \frac{7}{6} \times \frac{1}{4} = \frac{7 \times 1}{6 \times 4} = \frac{7}{24} \]
So, \( \frac{7}{6} \div 4 \) in simplest form is \( \frac{7}{24} \).