Subjects arithmetic

Long Division B45D4D

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1. **State the problem:** Perform the division of 649 by 11 using long division, where the quotient starts with 1. 2. **Set up the division:** We divide 649 by 11. 3. **Divide the first digit:** 11 goes into 6 zero times, so we consider the first two digits, 64. 4. **Divide 64 by 11:** 11 goes into 64 five times because $11 \times 5 = 55$. 5. **Subtract:** $64 - 55 = 9$. 6. **Bring down the next digit:** Bring down 9 to make 99. 7. **Divide 99 by 11:** 11 goes into 99 exactly 9 times because $11 \times 9 = 99$. 8. **Subtract:** $99 - 99 = 0$. 9. **Combine the quotient digits:** The quotient is 59. 10. **Check:** $11 \times 59 = 649$, so the division is exact. **Final answer:** The quotient of $649 \div 11$ is $59$ with a remainder of $0$.