1. **State the problem:** Perform the division $1.9 \div 74.1$. 2. **Recall the division rule:** To divide decimals, convert the divisor to a whole number by multiplying both divisor and dividend by the same power of 10. 3. Multiply both numbers by 10 to eliminate the decimal in the divisor: $$\frac{1.9}{74.1} = \frac{1.9 \times 10}{74.1 \times 10} = \frac{19}{741}$$ 4. Now divide 19 by 741. Since 19 is less than 741, the quotient will be less than 1. 5. Perform the division: $$19 \div 741 \approx 0.02564$$ 6. **Final answer:** $$1.9 \div 74.1 \approx 0.02564$$