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What is the quotient and remainder when $ 3747 $ is divided by $ 87 $ ?
Answer
The quotient is 43 and the remainder is 6.
Explanation
Division Table
|
| | 0 | 0 | 4 | 3 |
8 | 7 | 3 | 7 | 4 | 7 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 4 | |
| – | 3 | 4 | 8 | |
| | | 2 | 6 | 7 |
| | – | 2 | 6 | 1 |
| | | | | 6 |
STEP 0: set up a division table
|
| | | | | |
8 | 7 | 3 | 7 | 4 | 7 |
STEP 1: DIVIDE 3 : 87 = 0 with a remainder of 3
|
| | 0 | | | |
8 | 7 | 3 | 7 | 4 | 7 |
STEP 2: MULTIPLY 0 · 87 = 0
|
| | 0 | | | |
8 | 7 | 3 | 7 | 4 | 7 |
| | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | | |
8 | 7 | 3 | 7 | 4 | 7 |
| – | 0 | | | |
| | 3 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
8 | 7 | 3 | 7 | 4 | 7 |
| – | 0 | | | |
| | 3 | 7 | | |
STEP 5: DIVIDE 37 : 87 = 0 with a remainder of 37
|
| | 0 | 0 | | |
8 | 7 | 3 | 7 | 4 | 7 |
| – | 0 | | | |
| | 3 | 7 | | |
STEP 6: MULTIPLY 0 · 87 = 0
|
| | 0 | 0 | | |
8 | 7 | 3 | 7 | 4 | 7 |
| – | 0 | | | |
| | 3 | 7 | | |
| | | 0 | | |
STEP 7: SUBTRACT 37 - 0 = 37
|
| | 0 | 0 | | |
8 | 7 | 3 | 7 | 4 | 7 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
8 | 7 | 3 | 7 | 4 | 7 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 4 | |
STEP 9: DIVIDE 374 : 87 = 4 with a remainder of 26
|
| | 0 | 0 | 4 | |
8 | 7 | 3 | 7 | 4 | 7 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 4 | |
STEP 10: MULTIPLY 4 · 87 = 348
|
| | 0 | 0 | 4 | |
8 | 7 | 3 | 7 | 4 | 7 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 4 | |
| | 3 | 4 | 8 | |
STEP 11: SUBTRACT 374 - 348 = 26
|
| | 0 | 0 | 4 | |
8 | 7 | 3 | 7 | 4 | 7 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 4 | |
| – | 3 | 4 | 8 | |
| | | 2 | 6 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 4 | |
8 | 7 | 3 | 7 | 4 | 7 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 4 | |
| – | 3 | 4 | 8 | |
| | | 2 | 6 | 7 |
STEP 13: DIVIDE 267 : 87 = 3 with a remainder of 6
|
| | 0 | 0 | 4 | 3 |
8 | 7 | 3 | 7 | 4 | 7 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 4 | |
| – | 3 | 4 | 8 | |
| | | 2 | 6 | 7 |
STEP 14: MULTIPLY 3 · 87 = 261
|
| | 0 | 0 | 4 | 3 |
8 | 7 | 3 | 7 | 4 | 7 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 4 | |
| – | 3 | 4 | 8 | |
| | | 2 | 6 | 7 |
| | | 2 | 6 | 1 |
STEP 15: SUBTRACT 267 - 261 = 6
|
| | 0 | 0 | 4 | 3 |
8 | 7 | 3 | 7 | 4 | 7 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 4 | |
| – | 3 | 4 | 8 | |
| | | 2 | 6 | 7 |
| | – | 2 | 6 | 1 |
| | | | | 6 |
STEP 15: SUBTRACT 267 - 261 = 6
|
| | 0 | 0 | 4 | 3 |
8 | 7 | 3 | 7 | 4 | 7 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 4 | |
| – | 3 | 4 | 8 | |
| | | 2 | 6 | 7 |
| | – | 2 | 6 | 1 |
| | | | | 6 |
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