1. **State the problem:** We need to simplify the fraction $\frac{468750}{9}$. 2. **Formula and rules:** Division of two numbers can be done by dividing the numerator by the denominator. 3. **Intermediate work:** Calculate $468750 \div 9$. 4. **Perform the division:** $468750 \div 9 = 52083.333\ldots$ 5. **Interpretation:** The result is a repeating decimal, specifically $52083\frac{1}{3}$ or $52083.\overline{3}$. 6. **Final answer:** $$\frac{468750}{9} = 52083\frac{1}{3} = 52083.\overline{3}$$