To divide a number by a fraction, you can multiply the number by the reciprocal of the fraction.
So, to divide 6 by \( \frac{7}{6} \), you can multiply 6 by the reciprocal of \( \frac{7}{6} \), which is \( \frac{6}{7} \):
\[ 6 \div \frac{7}{6} = 6 \times \frac{6}{7} = \frac{36}{7} \]
Thus, \( 6 \div \frac{7}{6} = \frac{36}{7} \).
If you want to express that as a mixed number, it is \( 5 \frac{1}{7} \).