Question: User: 5/415 Division
1. **State the problem:** We need to divide $5$ by $415$, which means calculating the value of the fraction $$\frac{5}{415}$$.
2. **Formula used:** Division of two numbers $a$ and $b$ (where $b \neq 0$) is given by $$\frac{a}{b}$$.
3. **Simplify the fraction:** Both numerator and denominator can be divided by their greatest common divisor (GCD). The GCD of $5$ and $415$ is $5$.
4. **Divide numerator and denominator by $5$:**
$$\frac{\cancel{5}}{\cancel{415}} = \frac{1}{83}$$
5. **Interpretation:** The simplified fraction is $$\frac{1}{83}$$, which is the exact result of dividing $5$ by $415$.
6. **Decimal approximation:** To get a decimal value, divide $1$ by $83$:
$$1 \div 83 \approx 0.01205$$
**Final answer:** $$\frac{5}{415} = \frac{1}{83} \approx 0.01205$$