We can write $0.\overline{6}$ as a fraction by noticing that $0.\overline{6} = \frac{2}{3}$.
Therefore, $6 \div 0.\overline{6} = 6 \div \frac{2}{3}$.
To divide by a fraction, we multiply by its reciprocal, so we have $6 \div \frac{2}{3} = 6 \cdot \frac{3}{2}$.
Simplifying, we get $6 \cdot \frac{3}{2} = \frac{6 \cdot 3}{2} = \frac{18}{2} = \boxed{9}$.
The answer is: 9
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
What is $6 \div 0.\overline{6}$?

### Answer:
