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Question
What is the quotient and remainder when $ 5963 $ is divided by $ 68 $ ?
Answer
The quotient is 87 and the remainder is 47.
Explanation
|
Division Table
|
| | | 0 | 0 | 8 | 7 |
| 6 | 8 | 5 | 9 | 6 | 3 |
| | – | 0 | | | |
| | | 5 | 9 | | |
| | | – | 0 | | |
| | | 5 | 9 | 6 | |
| | – | 5 | 4 | 4 | |
| | | | 5 | 2 | 3 |
| | | – | 4 | 7 | 6 |
| | | | | 4 | 7 |
STEP 0: set up a division table
|
| | | | | | |
| 6 | 8 | 5 | 9 | 6 | 3 |
STEP 1: DIVIDE 5 : 68 = 0 with a remainder of 5
|
| | | 0 | | | |
| 6 | 8 | 5 | 9 | 6 | 3 |
STEP 2: MULTIPLY 0 · 68 = 0
|
| | | 0 | | | |
| 6 | 8 | 5 | 9 | 6 | 3 |
| | | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | 0 | | | |
| 6 | 8 | 5 | 9 | 6 | 3 |
| | – | 0 | | | |
| | | 5 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 6 | 8 | 5 | 9 | 6 | 3 |
| | – | 0 | | | |
| | | 5 | 9 | | |
STEP 5: DIVIDE 59 : 68 = 0 with a remainder of 59
|
| | | 0 | 0 | | |
| 6 | 8 | 5 | 9 | 6 | 3 |
| | – | 0 | | | |
| | | 5 | 9 | | |
STEP 6: MULTIPLY 0 · 68 = 0
|
| | | 0 | 0 | | |
| 6 | 8 | 5 | 9 | 6 | 3 |
| | – | 0 | | | |
| | | 5 | 9 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 59 - 0 = 59
|
| | | 0 | 0 | | |
| 6 | 8 | 5 | 9 | 6 | 3 |
| | – | 0 | | | |
| | | 5 | 9 | | |
| | | – | 0 | | |
| | | 5 | 9 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 6 | 8 | 5 | 9 | 6 | 3 |
| | – | 0 | | | |
| | | 5 | 9 | | |
| | | – | 0 | | |
| | | 5 | 9 | 6 | |
STEP 9: DIVIDE 596 : 68 = 8 with a remainder of 52
|
| | | 0 | 0 | 8 | |
| 6 | 8 | 5 | 9 | 6 | 3 |
| | – | 0 | | | |
| | | 5 | 9 | | |
| | | – | 0 | | |
| | | 5 | 9 | 6 | |
STEP 10: MULTIPLY 8 · 68 = 544
|
| | | 0 | 0 | 8 | |
| 6 | 8 | 5 | 9 | 6 | 3 |
| | – | 0 | | | |
| | | 5 | 9 | | |
| | | – | 0 | | |
| | | 5 | 9 | 6 | |
| | | 5 | 4 | 4 | |
STEP 11: SUBTRACT 596 - 544 = 52
|
| | | 0 | 0 | 8 | |
| 6 | 8 | 5 | 9 | 6 | 3 |
| | – | 0 | | | |
| | | 5 | 9 | | |
| | | – | 0 | | |
| | | 5 | 9 | 6 | |
| | – | 5 | 4 | 4 | |
| | | | 5 | 2 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 8 | |
| 6 | 8 | 5 | 9 | 6 | 3 |
| | – | 0 | | | |
| | | 5 | 9 | | |
| | | – | 0 | | |
| | | 5 | 9 | 6 | |
| | – | 5 | 4 | 4 | |
| | | | 5 | 2 | 3 |
STEP 13: DIVIDE 523 : 68 = 7 with a remainder of 47
|
| | | 0 | 0 | 8 | 7 |
| 6 | 8 | 5 | 9 | 6 | 3 |
| | – | 0 | | | |
| | | 5 | 9 | | |
| | | – | 0 | | |
| | | 5 | 9 | 6 | |
| | – | 5 | 4 | 4 | |
| | | | 5 | 2 | 3 |
STEP 14: MULTIPLY 7 · 68 = 476
|
| | | 0 | 0 | 8 | 7 |
| 6 | 8 | 5 | 9 | 6 | 3 |
| | – | 0 | | | |
| | | 5 | 9 | | |
| | | – | 0 | | |
| | | 5 | 9 | 6 | |
| | – | 5 | 4 | 4 | |
| | | | 5 | 2 | 3 |
| | | | 4 | 7 | 6 |
STEP 15: SUBTRACT 523 - 476 = 47
|
| | | 0 | 0 | 8 | 7 |
| 6 | 8 | 5 | 9 | 6 | 3 |
| | – | 0 | | | |
| | | 5 | 9 | | |
| | | – | 0 | | |
| | | 5 | 9 | 6 | |
| | – | 5 | 4 | 4 | |
| | | | 5 | 2 | 3 |
| | | – | 4 | 7 | 6 |
| | | | | 4 | 7 |
STEP 15: SUBTRACT 523 - 476 = 47
|
| | | 0 | 0 | 8 | 7 |
| 6 | 8 | 5 | 9 | 6 | 3 |
| | – | 0 | | | |
| | | 5 | 9 | | |
| | | – | 0 | | |
| | | 5 | 9 | 6 | |
| | – | 5 | 4 | 4 | |
| | | | 5 | 2 | 3 |
| | | – | 4 | 7 | 6 |
| | | | | 4 | 7 |
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