1. **State the problem:** Simplify the expression $$\frac{\frac{1}{5+h}-\frac{1}{5}}{h}$$ and find its simplified form. 2. **Recall the formula and rules:** When subtracting fractions, use a common denominator. Also, when dividing by $h$, multiply by the reciprocal. 3. **Find the numerator difference:** $$\frac{1}{5+h} - \frac{1}{5} = \frac{5 - (5+h)}{5(5+h)} = \frac{5 - 5 - h}{5(5+h)} = \frac{-h}{5(5+h)}$$ 4. **Rewrite the original expression:** $$\frac{\frac{-h}{5(5+h)}}{h}$$ 5. **Divide by $h$ by multiplying by its reciprocal:** $$\frac{-h}{5(5+h)} \times \frac{1}{h} = \frac{-h}{5(5+h)} \times \frac{1}{h}$$ 6. **Cancel common factor $h$:** $$\frac{\cancel{-h}}{5(5+h)} \times \frac{1}{\cancel{h}} = \frac{-1}{5(5+h)}$$ 7. **Final simplified expression:** $$\boxed{\frac{-1}{5(5+h)}}$$ This is the simplified form of the given expression.