Long Division C405B2

1. **State the problem:** We want to divide $1980$ by $1.12$ using long division. 2. **Convert divisor to a whole number:** Since $1.12$ is a decimal, multiply both the divisor and dividend by $100$ to make the divisor a whole number. $$1.12 \times 100 = 112$$ $$1980 \times 100 = 198000$$ So the problem becomes dividing $198000$ by $112$. 3. **Set up long division:** Divide $198000$ by $112$. 4. **Divide step-by-step:** - $112$ goes into $198$ once ($1 \times 112 = 112$). - Subtract: $198 - 112 = 86$. - Bring down the next digit $0$ to get $860$. - $112$ goes into $860$ seven times ($7 \times 112 = 784$). - Subtract: $860 - 784 = 76$. - Bring down the next digit $0$ to get $760$. - $112$ goes into $760$ six times ($6 \times 112 = 672$). - Subtract: $760 - 672 = 88$. - Bring down the next digit $0$ to get $880$. - $112$ goes into $880$ seven times ($7 \times 112 = 784$). - Subtract: $880 - 784 = 96$. - Bring down the next digit $0$ to get $960$. - $112$ goes into $960$ eight times ($8 \times 112 = 896$). - Subtract: $960 - 896 = 64$. 5. **Continue with decimals:** Add a decimal point and bring down zeros to continue dividing. - Bring down $0$ to get $640$. - $112$ goes into $640$ five times ($5 \times 112 = 560$). - Subtract: $640 - 560 = 80$. - Bring down $0$ to get $800$. - $112$ goes into $800$ seven times ($7 \times 112 = 784$). - Subtract: $800 - 784 = 16$. - Bring down $0$ to get $160$. - $112$ goes into $160$ once ($1 \times 112 = 112$). - Subtract: $160 - 112 = 48$. 6. **Result:** The quotient is approximately $1767.8571$. **Final answer:** $$1980 \div 1.12 \approx 1767.8571$$ This method shows how to handle division by decimals by converting to whole numbers and performing long division step-by-step.