Divide $5$ by $\frac{168}{5}$ by multiplying $5$ by the reciprocal of $\frac{168}{5}$.
$$168\sqrt{5\times \frac{5}{168}}$$
Express $5\times \frac{5}{168}$ as a single fraction.
$$168\sqrt{\frac{5\times 5}{168}}$$
Multiply $5$ and $5$ to get $25$.
$$168\sqrt{\frac{25}{168}}$$
Rewrite the square root of the division $\sqrt{\frac{25}{168}}$ as the division of square roots $\frac{\sqrt{25}}{\sqrt{168}}$.
$$168\times \frac{\sqrt{25}}{\sqrt{168}}$$
Calculate the square root of $25$ and get $5$.
$$168\times \frac{5}{\sqrt{168}}$$
Factor $168=2^{2}\times 42$. Rewrite the square root of the product $\sqrt{2^{2}\times 42}$ as the product of square roots $\sqrt{2^{2}}\sqrt{42}$. Take the square root of $2^{2}$.
$$168\times \frac{5}{2\sqrt{42}}$$
Rationalize the denominator of $\frac{5}{2\sqrt{42}}$ by multiplying numerator and denominator by $\sqrt{42}$.
