To divide 432 by 12, you can use long division or simple division. Here’s how to do it step-by-step using long division:
- Set up the division: Write 432 under the long division bar and 12 outside.
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12 | 432
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Divide the first part: Determine how many times 12 fits into the first digit (4). It doesn't fit, so you look at the first two digits (43).
- 12 goes into 43 three times because \(12 \times 3 = 36\).
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Write down the 3: Place 3 above the division bar.
3
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12 | 432
-36 (12 x 3)
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7
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Subtract: Subtract 36 from 43, which leaves you with 7.
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Bring down the next digit: Bring down the next digit, which is 2, making the number 72.
3
______
12 | 432
-36
-----
72
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Divide again: Now determine how many times 12 fits into 72. It goes exactly 6 times because \(12 \times 6 = 72\).
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Write down the 6: Place 6 above the division bar.
36
______
12 | 432
-36
-----
72
-72 (12 x 6)
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0
- Subtract again: Subtract 72 from 72, which leaves you with 0.
Since there are no more digits to bring down, the division is complete.
Result:
432 divided by 12 equals 36.
So, \(432 \div 12 = 36\).