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What is the quotient and remainder when $ 3985 $ is divided by $ 51 $ ?
Answer
The quotient is 78 and the remainder is 7.
Explanation
Division Table
|
| | 0 | 0 | 7 | 8 |
5 | 1 | 3 | 9 | 8 | 5 |
| – | 0 | | | |
| | 3 | 9 | | |
| | – | 0 | | |
| | 3 | 9 | 8 | |
| – | 3 | 5 | 7 | |
| | | 4 | 1 | 5 |
| | – | 4 | 0 | 8 |
| | | | | 7 |
STEP 0: set up a division table
|
| | | | | |
5 | 1 | 3 | 9 | 8 | 5 |
STEP 1: DIVIDE 3 : 51 = 0 with a remainder of 3
|
| | 0 | | | |
5 | 1 | 3 | 9 | 8 | 5 |
STEP 2: MULTIPLY 0 · 51 = 0
|
| | 0 | | | |
5 | 1 | 3 | 9 | 8 | 5 |
| | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | | |
5 | 1 | 3 | 9 | 8 | 5 |
| – | 0 | | | |
| | 3 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
5 | 1 | 3 | 9 | 8 | 5 |
| – | 0 | | | |
| | 3 | 9 | | |
STEP 5: DIVIDE 39 : 51 = 0 with a remainder of 39
|
| | 0 | 0 | | |
5 | 1 | 3 | 9 | 8 | 5 |
| – | 0 | | | |
| | 3 | 9 | | |
STEP 6: MULTIPLY 0 · 51 = 0
|
| | 0 | 0 | | |
5 | 1 | 3 | 9 | 8 | 5 |
| – | 0 | | | |
| | 3 | 9 | | |
| | | 0 | | |
STEP 7: SUBTRACT 39 - 0 = 39
|
| | 0 | 0 | | |
5 | 1 | 3 | 9 | 8 | 5 |
| – | 0 | | | |
| | 3 | 9 | | |
| | – | 0 | | |
| | 3 | 9 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
5 | 1 | 3 | 9 | 8 | 5 |
| – | 0 | | | |
| | 3 | 9 | | |
| | – | 0 | | |
| | 3 | 9 | 8 | |
STEP 9: DIVIDE 398 : 51 = 7 with a remainder of 41
|
| | 0 | 0 | 7 | |
5 | 1 | 3 | 9 | 8 | 5 |
| – | 0 | | | |
| | 3 | 9 | | |
| | – | 0 | | |
| | 3 | 9 | 8 | |
STEP 10: MULTIPLY 7 · 51 = 357
|
| | 0 | 0 | 7 | |
5 | 1 | 3 | 9 | 8 | 5 |
| – | 0 | | | |
| | 3 | 9 | | |
| | – | 0 | | |
| | 3 | 9 | 8 | |
| | 3 | 5 | 7 | |
STEP 11: SUBTRACT 398 - 357 = 41
|
| | 0 | 0 | 7 | |
5 | 1 | 3 | 9 | 8 | 5 |
| – | 0 | | | |
| | 3 | 9 | | |
| | – | 0 | | |
| | 3 | 9 | 8 | |
| – | 3 | 5 | 7 | |
| | | 4 | 1 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 7 | |
5 | 1 | 3 | 9 | 8 | 5 |
| – | 0 | | | |
| | 3 | 9 | | |
| | – | 0 | | |
| | 3 | 9 | 8 | |
| – | 3 | 5 | 7 | |
| | | 4 | 1 | 5 |
STEP 13: DIVIDE 415 : 51 = 8 with a remainder of 7
|
| | 0 | 0 | 7 | 8 |
5 | 1 | 3 | 9 | 8 | 5 |
| – | 0 | | | |
| | 3 | 9 | | |
| | – | 0 | | |
| | 3 | 9 | 8 | |
| – | 3 | 5 | 7 | |
| | | 4 | 1 | 5 |
STEP 14: MULTIPLY 8 · 51 = 408
|
| | 0 | 0 | 7 | 8 |
5 | 1 | 3 | 9 | 8 | 5 |
| – | 0 | | | |
| | 3 | 9 | | |
| | – | 0 | | |
| | 3 | 9 | 8 | |
| – | 3 | 5 | 7 | |
| | | 4 | 1 | 5 |
| | | 4 | 0 | 8 |
STEP 15: SUBTRACT 415 - 408 = 7
|
| | 0 | 0 | 7 | 8 |
5 | 1 | 3 | 9 | 8 | 5 |
| – | 0 | | | |
| | 3 | 9 | | |
| | – | 0 | | |
| | 3 | 9 | 8 | |
| – | 3 | 5 | 7 | |
| | | 4 | 1 | 5 |
| | – | 4 | 0 | 8 |
| | | | | 7 |
STEP 15: SUBTRACT 415 - 408 = 7
|
| | 0 | 0 | 7 | 8 |
5 | 1 | 3 | 9 | 8 | 5 |
| – | 0 | | | |
| | 3 | 9 | | |
| | – | 0 | | |
| | 3 | 9 | 8 | |
| – | 3 | 5 | 7 | |
| | | 4 | 1 | 5 |
| | – | 4 | 0 | 8 |
| | | | | 7 |
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