To solve \( 7925 \div 25 \) using traditional long division:
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Setup:
- 25 is the divisor (outside), and 7925 is the dividend (inside).
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Determine how many times 25 goes into the leading part of 7925:
- 25 goes into 79 (the first two digits of 7925) 3 times because \( 25 \times 3 = 75 \).
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Subtract:
- \( 79 - 75 = 4 \).
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Bring down the next digit (2):
- Now we have 42.
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Determine how many times 25 goes into 42:
- 25 goes into 42 once because \( 25 \times 1 = 25 \).
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Subtract again:
- \( 42 - 25 = 17 \).
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Bring down the next digit (5):
- Now we have 175.
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Determine how many times 25 goes into 175:
- 25 goes into 175 exactly 7 times because \( 25 \times 7 = 175 \).
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Subtract:
- \( 175 - 175 = 0 \).
Now we combine all the results:
- From the steps above, we found that 25 goes into 7925 a total of \( 317 \) times with a remainder of \( 0 \).
Thus, we can conclude that: \[ 7925 \div 25 = 317 \]
The original options were:
- 317
- None of these is correct
- 316 R25
- 3170
The correct answer is 317.