1. **State the problem:** Divide 5 by $\frac{1}{5}$. That is, calculate $5 \div \frac{1}{5}$. 2. **Recall the division rule for fractions:** Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of $\frac{1}{5}$ is $5$. 3. **Apply the rule:** $$5 \div \frac{1}{5} = 5 \times 5$$ 4. **Calculate the multiplication:** $$5 \times 5 = 25$$ 5. **Final answer:** $$\boxed{25}$$ So, $5 \div \frac{1}{5} = 25$.