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What is the quotient and remainder when $ 3705 $ is divided by $ 57 $ ?
Answer
The quotient is 65 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 0 | 6 | 5 |
5 | 7 | 3 | 7 | 0 | 5 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 0 | |
| – | 3 | 4 | 2 | |
| | | 2 | 8 | 5 |
| | – | 2 | 8 | 5 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
5 | 7 | 3 | 7 | 0 | 5 |
STEP 1: DIVIDE 3 : 57 = 0 with a remainder of 3
|
| | 0 | | | |
5 | 7 | 3 | 7 | 0 | 5 |
STEP 2: MULTIPLY 0 · 57 = 0
|
| | 0 | | | |
5 | 7 | 3 | 7 | 0 | 5 |
| | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | | |
5 | 7 | 3 | 7 | 0 | 5 |
| – | 0 | | | |
| | 3 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
5 | 7 | 3 | 7 | 0 | 5 |
| – | 0 | | | |
| | 3 | 7 | | |
STEP 5: DIVIDE 37 : 57 = 0 with a remainder of 37
|
| | 0 | 0 | | |
5 | 7 | 3 | 7 | 0 | 5 |
| – | 0 | | | |
| | 3 | 7 | | |
STEP 6: MULTIPLY 0 · 57 = 0
|
| | 0 | 0 | | |
5 | 7 | 3 | 7 | 0 | 5 |
| – | 0 | | | |
| | 3 | 7 | | |
| | | 0 | | |
STEP 7: SUBTRACT 37 - 0 = 37
|
| | 0 | 0 | | |
5 | 7 | 3 | 7 | 0 | 5 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
5 | 7 | 3 | 7 | 0 | 5 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 0 | |
STEP 9: DIVIDE 370 : 57 = 6 with a remainder of 28
|
| | 0 | 0 | 6 | |
5 | 7 | 3 | 7 | 0 | 5 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 0 | |
STEP 10: MULTIPLY 6 · 57 = 342
|
| | 0 | 0 | 6 | |
5 | 7 | 3 | 7 | 0 | 5 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 0 | |
| | 3 | 4 | 2 | |
STEP 11: SUBTRACT 370 - 342 = 28
|
| | 0 | 0 | 6 | |
5 | 7 | 3 | 7 | 0 | 5 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 0 | |
| – | 3 | 4 | 2 | |
| | | 2 | 8 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 6 | |
5 | 7 | 3 | 7 | 0 | 5 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 0 | |
| – | 3 | 4 | 2 | |
| | | 2 | 8 | 5 |
STEP 13: DIVIDE 285 : 57 = 5 with a remainder of 0
|
| | 0 | 0 | 6 | 5 |
5 | 7 | 3 | 7 | 0 | 5 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 0 | |
| – | 3 | 4 | 2 | |
| | | 2 | 8 | 5 |
STEP 14: MULTIPLY 5 · 57 = 285
|
| | 0 | 0 | 6 | 5 |
5 | 7 | 3 | 7 | 0 | 5 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 0 | |
| – | 3 | 4 | 2 | |
| | | 2 | 8 | 5 |
| | | 2 | 8 | 5 |
STEP 15: SUBTRACT 285 - 285 = 0
|
| | 0 | 0 | 6 | 5 |
5 | 7 | 3 | 7 | 0 | 5 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 0 | |
| – | 3 | 4 | 2 | |
| | | 2 | 8 | 5 |
| | – | 2 | 8 | 5 |
| | | | | 0 |
STEP 15: SUBTRACT 285 - 285 = 0
|
| | 0 | 0 | 6 | 5 |
5 | 7 | 3 | 7 | 0 | 5 |
| – | 0 | | | |
| | 3 | 7 | | |
| | – | 0 | | |
| | 3 | 7 | 0 | |
| – | 3 | 4 | 2 | |
| | | 2 | 8 | 5 |
| | – | 2 | 8 | 5 |
| | | | | 0 |
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