To divide by a fraction, you can multiply by its reciprocal. The reciprocal of \( \frac{5}{6} \) is \( \frac{6}{5} \).
So, we can express the division as:
\[ 10 \div \frac{5}{6} = 10 \times \frac{6}{5} \]
Now, calculate it:
\[ 10 \times \frac{6}{5} = \frac{10 \times 6}{5} = \frac{60}{5} = 12 \]
Therefore,
\[ 10 \div \frac{5}{6} = 12 \]
The answer is \( 12 \).