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Evaluate: 96.6 div 7...

Evaluate:
`96.6 div 7`

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The correct Answer is:
To evaluate \( 96.6 \div 7 \), we will perform the division step by step, taking care of the decimal point. ### Step-by-Step Solution: 1. **Set up the division**: We will divide 96.6 by 7. We can ignore the decimal point for now and treat it as 966 (we will place the decimal point in the answer later). 2. **Divide the first part**: - 7 goes into 9 (the first digit of 96) one time (1). - Multiply: \( 7 \times 1 = 7 \). - Subtract: \( 9 - 7 = 2 \). 3. **Bring down the next digit**: - Bring down the 6 (the next digit in 96.6), making it 26. 4. **Divide 26 by 7**: - 7 goes into 26 three times (3). - Multiply: \( 7 \times 3 = 21 \). - Subtract: \( 26 - 21 = 5 \). 5. **Bring down the next digit**: - Since we have a decimal in our original number, we will now place the decimal point in our answer. - Bring down a 0 (as we are now dealing with the decimal part), making it 50. 6. **Divide 50 by 7**: - 7 goes into 50 seven times (7). - Multiply: \( 7 \times 7 = 49 \). - Subtract: \( 50 - 49 = 1 \). 7. **Bring down another 0**: - Bring down another 0, making it 10. 8. **Divide 10 by 7**: - 7 goes into 10 one time (1). - Multiply: \( 7 \times 1 = 7 \). - Subtract: \( 10 - 7 = 3 \). 9. **Bring down another 0**: - Bring down another 0, making it 30. 10. **Divide 30 by 7**: - 7 goes into 30 four times (4). - Multiply: \( 7 \times 4 = 28 \). - Subtract: \( 30 - 28 = 2 \). 11. **Bring down another 0**: - Bring down another 0, making it 20. 12. **Divide 20 by 7**: - 7 goes into 20 two times (2). - Multiply: \( 7 \times 2 = 14 \). - Subtract: \( 20 - 14 = 6 \). 13. **Bring down another 0**: - Bring down another 0, making it 60. 14. **Divide 60 by 7**: - 7 goes into 60 eight times (8). - Multiply: \( 7 \times 8 = 56 \). - Subtract: \( 60 - 56 = 4 \). 15. **Bring down another 0**: - Bring down another 0, making it 40. 16. **Divide 40 by 7**: - 7 goes into 40 five times (5). - Multiply: \( 7 \times 5 = 35 \). - Subtract: \( 40 - 35 = 5 \). 17. **Continue the process**: - You can continue this process, but for our purposes, we can round it off here. ### Final Answer: The result of \( 96.6 \div 7 \) is approximately \( 13.8 \).
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