1. **State the problem:** Simplify the expression $$\frac{3n^2}{30n}$$. 2. **Recall the rules:** When simplifying fractions with variables, divide coefficients and subtract exponents of like bases. 3. **Simplify coefficients:** $$\frac{3}{30} = \frac{1}{10}$$. 4. **Simplify variables:** $$\frac{n^2}{n} = n^{2-1} = n$$. 5. **Combine results:** $$\frac{3n^2}{30n} = \frac{1}{10} \times n = \frac{n}{10}$$. 6. **Final answer:** The fully simplified form is $$\frac{n}{10}$$.