To solve \( \frac{3}{10} \div \frac{1}{3} \), you can multiply by the reciprocal of the second fraction:
\[ \frac{3}{10} \div \frac{1}{3} = \frac{3}{10} \times \frac{3}{1} \]
Now, multiply the numerators and the denominators:
\[ = \frac{3 \times 3}{10 \times 1} = \frac{9}{10} \]
Thus, the answer is:
\(\frac{9}{10}\) (Start Fraction 9 over 10 End Fraction).