Calculate the quotient of the following by using long division. \( \begin{array}{llll}\text { a. } 116 & \text { b. } 94 & \text { c. } 1541 & \text { d. } 1609\end{array} \)
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To find the quotient for each number when divided, we can break it down step by step. **a. 116 ÷ 4 = 29** 1. Divide 116 by 4. 2. 4 goes into 11 two times (2 x 4 = 8). 3. Subtract: 11 - 8 = 3, bring down the 6 to make it 36. 4. 4 goes into 36 nine times (9 x 4 = 36). 5. Subtract: 36 - 36 = 0. 6. Thus, the quotient is 29. **b. 94 ÷ 2 = 47** 1. Divide 94 by 2. 2. 2 goes into 9 four times (4 x 2 = 8). 3. Subtract: 9 - 8 = 1, bring down the 4 to make it 14. 4. 2 goes into 14 seven times (7 x 2 = 14). 5. Subtract: 14 - 14 = 0. 6. Thus, the quotient is 47. **c. 1541 ÷ 7 = 220** 1. Divide 1541 by 7. 2. 7 goes into 15 two times (2 x 7 = 14). 3. Subtract: 15 - 14 = 1, bring down the 4 to make it 14. 4. 7 goes into 14 two times (2 x 7 = 14). 5. Subtract: 14 - 14 = 0, bring down the 1 to make 1. 6. 7 goes into 1 zero times. 7. The quotient is 220 with a remainder of 1. **d. 1609 ÷ 13 = 123** 1. Divide 1609 by 13. 2. 13 goes into 16 one time (1 x 13 = 13). 3. Subtract: 16 - 13 = 3, bring down the 0 to make it 30. 4. 13 goes into 30 two times (2 x 13 = 26). 5. Subtract: 30 - 26 = 4, bring down the 9 to make it 49. 6. 13 goes into 49 three times (3 x 13 = 39). 7. Subtract: 49 - 39 = 10. 8. The quotient is 123 with a remainder of 10. In summary: a. 116 ÷ 4 = 29 b. 94 ÷ 2 = 47 c. 1541 ÷ 7 = 220 R1 d. 1609 ÷ 13 = 123 R10