1. **State the problem:** We need to evaluate the expression $$\frac{680,000,000}{3.14 \times 325^2}$$. 2. **Recall the formula:** The expression involves division and exponentiation. Remember that $a^2$ means $a \times a$. 3. **Calculate the denominator:** $$325^2 = 325 \times 325 = 105,625$$ 4. **Multiply by 3.14:** $$3.14 \times 105,625 = 331,437.5$$ 5. **Form the fraction:** $$\frac{680,000,000}{331,437.5}$$ 6. **Simplify the fraction by dividing numerator and denominator:** $$\frac{\cancel{680,000,000}}{\cancel{331,437.5}} = 2050.68$$ 7. **Final answer:** $$\boxed{2050.68}$$