1. Convert mixed numbers to improper fractions: $$10 \frac{1}{3} = \frac{31}{3}$$ and $$2 \frac{1}{3} = \frac{7}{3}$$.
2. Divide: $$\frac{31}{3} : \frac{7}{3} = \frac{31}{3} \cdot \frac{3}{7} = \frac{31}{7}$$.
3. Convert to mixed number: $$\frac{31}{7} = 4 \frac{3}{7}$$.