1. The problem is to find the value of 3 divided by $\frac{1}{5}$. 2. The formula for dividing by a fraction is to multiply by its reciprocal. That is, $a \div \frac{b}{c} = a \times \frac{c}{b}$. 3. Applying this rule, we have: $$3 \div \frac{1}{5} = 3 \times \frac{5}{1}$$ 4. Multiply the numerators and denominators: $$3 \times \frac{5}{1} = \frac{3 \times 5}{1} = \frac{15}{1}$$ 5. Simplify the fraction: $$\frac{15}{1} = 15$$ 6. Therefore, $3$ divided by $\frac{1}{5}$ equals $15$.