1. The problem is to divide the fraction $\frac{9}{1}$ by the fraction $\frac{7}{6}$. 2. The formula for dividing fractions is: $$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$$ 3. Applying this formula, we get: $$\frac{9}{1} \div \frac{7}{6} = \frac{9}{1} \times \frac{6}{7}$$ 4. Multiply the numerators and denominators: $$\frac{9 \times 6}{1 \times 7} = \frac{54}{7}$$ 5. Simplify if possible. Here, 54 and 7 have no common factors other than 1, so the fraction is already in simplest form. 6. The final answer is: $$\frac{54}{7}$$