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Question
What is the quotient and remainder when $ 4284 $ is divided by $ 51 $ ?
Answer
The quotient is 84 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 0 | 8 | 4 |
| 5 | 1 | 4 | 2 | 8 | 4 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 8 | |
| | – | 4 | 0 | 8 | |
| | | | 2 | 0 | 4 |
| | | – | 2 | 0 | 4 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 5 | 1 | 4 | 2 | 8 | 4 |
STEP 1: DIVIDE 4 : 51 = 0 with a remainder of 4
|
| | | 0 | | | |
| 5 | 1 | 4 | 2 | 8 | 4 |
STEP 2: MULTIPLY 0 · 51 = 0
|
| | | 0 | | | |
| 5 | 1 | 4 | 2 | 8 | 4 |
| | | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | | |
| 5 | 1 | 4 | 2 | 8 | 4 |
| | – | 0 | | | |
| | | 4 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 5 | 1 | 4 | 2 | 8 | 4 |
| | – | 0 | | | |
| | | 4 | 2 | | |
STEP 5: DIVIDE 42 : 51 = 0 with a remainder of 42
|
| | | 0 | 0 | | |
| 5 | 1 | 4 | 2 | 8 | 4 |
| | – | 0 | | | |
| | | 4 | 2 | | |
STEP 6: MULTIPLY 0 · 51 = 0
|
| | | 0 | 0 | | |
| 5 | 1 | 4 | 2 | 8 | 4 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 42 - 0 = 42
|
| | | 0 | 0 | | |
| 5 | 1 | 4 | 2 | 8 | 4 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 5 | 1 | 4 | 2 | 8 | 4 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 8 | |
STEP 9: DIVIDE 428 : 51 = 8 with a remainder of 20
|
| | | 0 | 0 | 8 | |
| 5 | 1 | 4 | 2 | 8 | 4 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 8 | |
STEP 10: MULTIPLY 8 · 51 = 408
|
| | | 0 | 0 | 8 | |
| 5 | 1 | 4 | 2 | 8 | 4 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 8 | |
| | | 4 | 0 | 8 | |
STEP 11: SUBTRACT 428 - 408 = 20
|
| | | 0 | 0 | 8 | |
| 5 | 1 | 4 | 2 | 8 | 4 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 8 | |
| | – | 4 | 0 | 8 | |
| | | | 2 | 0 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 8 | |
| 5 | 1 | 4 | 2 | 8 | 4 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 8 | |
| | – | 4 | 0 | 8 | |
| | | | 2 | 0 | 4 |
STEP 13: DIVIDE 204 : 51 = 4 with a remainder of 0
|
| | | 0 | 0 | 8 | 4 |
| 5 | 1 | 4 | 2 | 8 | 4 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 8 | |
| | – | 4 | 0 | 8 | |
| | | | 2 | 0 | 4 |
STEP 14: MULTIPLY 4 · 51 = 204
|
| | | 0 | 0 | 8 | 4 |
| 5 | 1 | 4 | 2 | 8 | 4 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 8 | |
| | – | 4 | 0 | 8 | |
| | | | 2 | 0 | 4 |
| | | | 2 | 0 | 4 |
STEP 15: SUBTRACT 204 - 204 = 0
|
| | | 0 | 0 | 8 | 4 |
| 5 | 1 | 4 | 2 | 8 | 4 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 8 | |
| | – | 4 | 0 | 8 | |
| | | | 2 | 0 | 4 |
| | | – | 2 | 0 | 4 |
| | | | | | 0 |
STEP 15: SUBTRACT 204 - 204 = 0
|
| | | 0 | 0 | 8 | 4 |
| 5 | 1 | 4 | 2 | 8 | 4 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 8 | |
| | – | 4 | 0 | 8 | |
| | | | 2 | 0 | 4 |
| | | – | 2 | 0 | 4 |
| | | | | | 0 |
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