1. **State the problem:** Simplify the expression $$\frac{18a - 5ab}{6a^2}$$. 2. **Identify the terms:** The numerator is $18a - 5ab$ and the denominator is $6a^2$. 3. **Factor the numerator if possible:** Here, $a$ is common in both terms of the numerator. 4. **Rewrite the numerator:** $$18a - 5ab = a(18 - 5b)$$. 5. **Rewrite the fraction:** $$\frac{a(18 - 5b)}{6a^2}$$. 6. **Simplify by canceling common factors:** Cancel $a$ from numerator and denominator. $$\frac{\cancel{a}(18 - 5b)}{6\cancel{a}a} = \frac{18 - 5b}{6a}$$. 7. **Final simplified expression:** $$\frac{18 - 5b}{6a}$$. This is the simplest form of the given expression.