1. **State the problem:** We need to calculate $9.5 \div 0.05$. 2. **Recall the division rule:** Dividing by a decimal can be simplified by multiplying numerator and denominator by the same power of 10 to make the divisor a whole number. 3. Multiply numerator and denominator by 100 to eliminate decimals: $$\frac{9.5}{0.05} = \frac{9.5 \times 100}{0.05 \times 100} = \frac{950}{5}$$ 4. Simplify the fraction by dividing numerator and denominator by 5: $$\frac{\cancel{950}^{190}}{\cancel{5}^{1}} = 190$$ 5. **Final answer:** $9.5 \div 0.05 = 190$