1. **State the problem:** Divide 46.8 by 0.9. 2. **Formula used:** Division of decimals can be done by converting the divisor to a whole number. 3. **Step:** Multiply both numerator and denominator by 10 to eliminate the decimal in the divisor: $$\frac{46.8}{0.9} = \frac{46.8 \times 10}{0.9 \times 10} = \frac{468}{9}$$ 4. **Simplify the fraction:** $$\frac{468}{9} = 52$$ 5. **Explanation:** Multiplying numerator and denominator by 10 shifts the decimal point to the right, making division easier. **Final answer:** $$46.8 \div 0.9 = 52$$