To solve the division of \( 8184 \div 62 \) using traditional long division, follow these steps:
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Calculate how many times 62 goes into the leading part of 8184.
- Start with the first two digits of 8184, which is 81. Since 62 goes into 81 one time:
- \( 62 \times 1 = 62 \)
- Subtract this from 81:
- \( 81 - 62 = 19 \)
- Start with the first two digits of 8184, which is 81. Since 62 goes into 81 one time:
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Bring down the next digit of 8184 (which is 8), giving you 198.
- Now calculate how many times 62 goes into 198.
- Since \( 62 \times 3 = 186 \) and \( 62 \times 4 = 248 \), 62 goes into 198 three times:
- \( 62 \times 3 = 186 \)
- Subtract this from 198:
- \( 198 - 186 = 12 \)
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Bring down the next digit of 8184 (which is 4), giving you 124.
- Now calculate how many times 62 goes into 124.
- Since \( 62 \times 2 = 124 \), 62 goes into 124 exactly two times:
- \( 62 \times 2 = 124 \)
- Subtract this from 124:
- \( 124 - 124 = 0 \)
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Put it all together:
- The quotient is \( 132 \), and there is no remainder.
So, \( 8184 \div 62 = 132 \) with a remainder of \( 0 \).
The answer is 132.