1. **State the problem:** We need to calculate $57.6 \div 0.9$. 2. **Rewrite the division to avoid decimals:** Multiply both the dividend and divisor by 10 to eliminate decimals: $$57.6 \div 0.9 = \frac{57.6 \times 10}{0.9 \times 10} = \frac{576}{9}$$ 3. **Perform the division:** Now divide 576 by 9. 4. **Long division steps:** - 9 goes into 57 six times because $9 \times 6 = 54$. - Subtract 54 from 57 to get 3. - Bring down the next digit 6 to make 36. - 9 goes into 36 four times because $9 \times 4 = 36$. - Subtract 36 from 36 to get 0. 5. **Final answer:** The quotient is 64. Therefore, $$57.6 \div 0.9 = 64$$