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Question
What is the quotient and remainder when $ 4644 $ is divided by $ 86 $ ?
Answer
The quotient is 54 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 0 | 5 | 4 |
| 8 | 6 | 4 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 4 | |
| | – | 4 | 3 | 0 | |
| | | | 3 | 4 | 4 |
| | | – | 3 | 4 | 4 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 8 | 6 | 4 | 6 | 4 | 4 |
STEP 1: DIVIDE 4 : 86 = 0 with a remainder of 4
|
| | | 0 | | | |
| 8 | 6 | 4 | 6 | 4 | 4 |
STEP 2: MULTIPLY 0 · 86 = 0
|
| | | 0 | | | |
| 8 | 6 | 4 | 6 | 4 | 4 |
| | | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | | |
| 8 | 6 | 4 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 8 | 6 | 4 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 6 | | |
STEP 5: DIVIDE 46 : 86 = 0 with a remainder of 46
|
| | | 0 | 0 | | |
| 8 | 6 | 4 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 6 | | |
STEP 6: MULTIPLY 0 · 86 = 0
|
| | | 0 | 0 | | |
| 8 | 6 | 4 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 46 - 0 = 46
|
| | | 0 | 0 | | |
| 8 | 6 | 4 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 8 | 6 | 4 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 4 | |
STEP 9: DIVIDE 464 : 86 = 5 with a remainder of 34
|
| | | 0 | 0 | 5 | |
| 8 | 6 | 4 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 4 | |
STEP 10: MULTIPLY 5 · 86 = 430
|
| | | 0 | 0 | 5 | |
| 8 | 6 | 4 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 4 | |
| | | 4 | 3 | 0 | |
STEP 11: SUBTRACT 464 - 430 = 34
|
| | | 0 | 0 | 5 | |
| 8 | 6 | 4 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 4 | |
| | – | 4 | 3 | 0 | |
| | | | 3 | 4 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 5 | |
| 8 | 6 | 4 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 4 | |
| | – | 4 | 3 | 0 | |
| | | | 3 | 4 | 4 |
STEP 13: DIVIDE 344 : 86 = 4 with a remainder of 0
|
| | | 0 | 0 | 5 | 4 |
| 8 | 6 | 4 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 4 | |
| | – | 4 | 3 | 0 | |
| | | | 3 | 4 | 4 |
STEP 14: MULTIPLY 4 · 86 = 344
|
| | | 0 | 0 | 5 | 4 |
| 8 | 6 | 4 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 4 | |
| | – | 4 | 3 | 0 | |
| | | | 3 | 4 | 4 |
| | | | 3 | 4 | 4 |
STEP 15: SUBTRACT 344 - 344 = 0
|
| | | 0 | 0 | 5 | 4 |
| 8 | 6 | 4 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 4 | |
| | – | 4 | 3 | 0 | |
| | | | 3 | 4 | 4 |
| | | – | 3 | 4 | 4 |
| | | | | | 0 |
STEP 15: SUBTRACT 344 - 344 = 0
|
| | | 0 | 0 | 5 | 4 |
| 8 | 6 | 4 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 4 | |
| | – | 4 | 3 | 0 | |
| | | | 3 | 4 | 4 |
| | | – | 3 | 4 | 4 |
| | | | | | 0 |
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