Rewrite the division of square roots $\frac{\sqrt{5000}}{\sqrt{5}}$ as the square root of the division $\sqrt{\frac{5000}{5}}$ and perform the division.
$$\sqrt{1000}$$
Factor $1000=10^{2}\times 10$. Rewrite the square root of the product $\sqrt{10^{2}\times 10}$ as the product of square roots $\sqrt{10^{2}}\sqrt{10}$. Take the square root of $10^{2}$.