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Question
What is the quotient and remainder when $ 5728 $ is divided by $ 63 $ ?
Answer
The quotient is 90 and the remainder is 58.
Explanation
|
Division Table
|
| | | 0 | 0 | 9 | 0 |
| 6 | 3 | 5 | 7 | 2 | 8 |
| | – | 0 | | | |
| | | 5 | 7 | | |
| | | – | 0 | | |
| | | 5 | 7 | 2 | |
| | – | 5 | 6 | 7 | |
| | | | | 5 | 8 |
| | | | | – | 0 |
| | | | | 5 | 8 |
STEP 0: set up a division table
|
| | | | | | |
| 6 | 3 | 5 | 7 | 2 | 8 |
STEP 1: DIVIDE 5 : 63 = 0 with a remainder of 5
|
| | | 0 | | | |
| 6 | 3 | 5 | 7 | 2 | 8 |
STEP 2: MULTIPLY 0 · 63 = 0
|
| | | 0 | | | |
| 6 | 3 | 5 | 7 | 2 | 8 |
| | | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | 0 | | | |
| 6 | 3 | 5 | 7 | 2 | 8 |
| | – | 0 | | | |
| | | 5 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 6 | 3 | 5 | 7 | 2 | 8 |
| | – | 0 | | | |
| | | 5 | 7 | | |
STEP 5: DIVIDE 57 : 63 = 0 with a remainder of 57
|
| | | 0 | 0 | | |
| 6 | 3 | 5 | 7 | 2 | 8 |
| | – | 0 | | | |
| | | 5 | 7 | | |
STEP 6: MULTIPLY 0 · 63 = 0
|
| | | 0 | 0 | | |
| 6 | 3 | 5 | 7 | 2 | 8 |
| | – | 0 | | | |
| | | 5 | 7 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 57 - 0 = 57
|
| | | 0 | 0 | | |
| 6 | 3 | 5 | 7 | 2 | 8 |
| | – | 0 | | | |
| | | 5 | 7 | | |
| | | – | 0 | | |
| | | 5 | 7 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 6 | 3 | 5 | 7 | 2 | 8 |
| | – | 0 | | | |
| | | 5 | 7 | | |
| | | – | 0 | | |
| | | 5 | 7 | 2 | |
STEP 9: DIVIDE 572 : 63 = 9 with a remainder of 5
|
| | | 0 | 0 | 9 | |
| 6 | 3 | 5 | 7 | 2 | 8 |
| | – | 0 | | | |
| | | 5 | 7 | | |
| | | – | 0 | | |
| | | 5 | 7 | 2 | |
STEP 10: MULTIPLY 9 · 63 = 567
|
| | | 0 | 0 | 9 | |
| 6 | 3 | 5 | 7 | 2 | 8 |
| | – | 0 | | | |
| | | 5 | 7 | | |
| | | – | 0 | | |
| | | 5 | 7 | 2 | |
| | | 5 | 6 | 7 | |
STEP 11: SUBTRACT 572 - 567 = 5
|
| | | 0 | 0 | 9 | |
| 6 | 3 | 5 | 7 | 2 | 8 |
| | – | 0 | | | |
| | | 5 | 7 | | |
| | | – | 0 | | |
| | | 5 | 7 | 2 | |
| | – | 5 | 6 | 7 | |
| | | | | 5 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 9 | |
| 6 | 3 | 5 | 7 | 2 | 8 |
| | – | 0 | | | |
| | | 5 | 7 | | |
| | | – | 0 | | |
| | | 5 | 7 | 2 | |
| | – | 5 | 6 | 7 | |
| | | | | 5 | 8 |
STEP 13: DIVIDE 58 : 63 = 0 with a remainder of 58
|
| | | 0 | 0 | 9 | 0 |
| 6 | 3 | 5 | 7 | 2 | 8 |
| | – | 0 | | | |
| | | 5 | 7 | | |
| | | – | 0 | | |
| | | 5 | 7 | 2 | |
| | – | 5 | 6 | 7 | |
| | | | | 5 | 8 |
STEP 14: MULTIPLY 0 · 63 = 0
|
| | | 0 | 0 | 9 | 0 |
| 6 | 3 | 5 | 7 | 2 | 8 |
| | – | 0 | | | |
| | | 5 | 7 | | |
| | | – | 0 | | |
| | | 5 | 7 | 2 | |
| | – | 5 | 6 | 7 | |
| | | | | 5 | 8 |
| | | | | | 0 |
STEP 15: SUBTRACT 58 - 0 = 58
|
| | | 0 | 0 | 9 | 0 |
| 6 | 3 | 5 | 7 | 2 | 8 |
| | – | 0 | | | |
| | | 5 | 7 | | |
| | | – | 0 | | |
| | | 5 | 7 | 2 | |
| | – | 5 | 6 | 7 | |
| | | | | 5 | 8 |
| | | | | – | 0 |
| | | | | 5 | 8 |
STEP 15: SUBTRACT 58 - 0 = 58
|
| | | 0 | 0 | 9 | 0 |
| 6 | 3 | 5 | 7 | 2 | 8 |
| | – | 0 | | | |
| | | 5 | 7 | | |
| | | – | 0 | | |
| | | 5 | 7 | 2 | |
| | – | 5 | 6 | 7 | |
| | | | | 5 | 8 |
| | | | | – | 0 |
| | | | | 5 | 8 |
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