1. **State the problem:** Find the quotient of $41.6 \div 0.1$. 2. **Recall the division rule:** Dividing by a decimal is easier if we convert the divisor to a whole number by multiplying both dividend and divisor by the same power of 10. 3. Multiply both numbers by 10 to eliminate the decimal in the divisor: $$41.6 \div 0.1 = \frac{41.6 \times 10}{0.1 \times 10} = \frac{416}{1}$$ 4. Simplify the division: $$\frac{416}{1} = 416$$ 5. **Answer:** The quotient is $416$. This method works because multiplying numerator and denominator by the same number does not change the value of the fraction.