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Question
What is the quotient and remainder when $ 4762 $ is divided by $ 823 $ ?
Answer
The quotient is 5 and the remainder is 647.
Explanation
|
Division Table
|
| | | | 0 | 0 | 0 | 5 |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
| | | – | 0 | | | |
| | | | 4 | 7 | | |
| | | | – | 0 | | |
| | | | 4 | 7 | 6 | |
| | | | | – | 0 | |
| | | | 4 | 7 | 6 | 2 |
| | | – | 4 | 1 | 1 | 5 |
| | | | | 6 | 4 | 7 |
STEP 0: set up a division table
|
| | | | | | | |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
STEP 1: DIVIDE 4 : 823 = 0 with a remainder of 4
|
| | | | 0 | | | |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
STEP 2: MULTIPLY 0 · 823 = 0
|
| | | | 0 | | | |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
| | | | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | | 0 | | | |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
| | | – | 0 | | | |
| | | | 4 | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
| | | – | 0 | | | |
| | | | 4 | 7 | | |
STEP 5: DIVIDE 47 : 823 = 0 with a remainder of 47
|
| | | | 0 | 0 | | |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
| | | – | 0 | | | |
| | | | 4 | 7 | | |
STEP 6: MULTIPLY 0 · 823 = 0
|
| | | | 0 | 0 | | |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
| | | – | 0 | | | |
| | | | 4 | 7 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 47 - 0 = 47
|
| | | | 0 | 0 | | |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
| | | – | 0 | | | |
| | | | 4 | 7 | | |
| | | | – | 0 | | |
| | | | 4 | 7 | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
| | | – | 0 | | | |
| | | | 4 | 7 | | |
| | | | – | 0 | | |
| | | | 4 | 7 | 6 | |
STEP 9: DIVIDE 476 : 823 = 0 with a remainder of 476
|
| | | | 0 | 0 | 0 | |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
| | | – | 0 | | | |
| | | | 4 | 7 | | |
| | | | – | 0 | | |
| | | | 4 | 7 | 6 | |
STEP 10: MULTIPLY 0 · 823 = 0
|
| | | | 0 | 0 | 0 | |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
| | | – | 0 | | | |
| | | | 4 | 7 | | |
| | | | – | 0 | | |
| | | | 4 | 7 | 6 | |
| | | | | | 0 | |
STEP 11: SUBTRACT 476 - 0 = 476
|
| | | | 0 | 0 | 0 | |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
| | | – | 0 | | | |
| | | | 4 | 7 | | |
| | | | – | 0 | | |
| | | | 4 | 7 | 6 | |
| | | | | – | 0 | |
| | | | 4 | 7 | 6 | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 0 | |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
| | | – | 0 | | | |
| | | | 4 | 7 | | |
| | | | – | 0 | | |
| | | | 4 | 7 | 6 | |
| | | | | – | 0 | |
| | | | 4 | 7 | 6 | 2 |
STEP 13: DIVIDE 4762 : 823 = 5 with a remainder of 647
|
| | | | 0 | 0 | 0 | 5 |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
| | | – | 0 | | | |
| | | | 4 | 7 | | |
| | | | – | 0 | | |
| | | | 4 | 7 | 6 | |
| | | | | – | 0 | |
| | | | 4 | 7 | 6 | 2 |
STEP 14: MULTIPLY 5 · 823 = 4115
|
| | | | 0 | 0 | 0 | 5 |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
| | | – | 0 | | | |
| | | | 4 | 7 | | |
| | | | – | 0 | | |
| | | | 4 | 7 | 6 | |
| | | | | – | 0 | |
| | | | 4 | 7 | 6 | 2 |
| | | | 4 | 1 | 1 | 5 |
STEP 15: SUBTRACT 4762 - 4115 = 647
|
| | | | 0 | 0 | 0 | 5 |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
| | | – | 0 | | | |
| | | | 4 | 7 | | |
| | | | – | 0 | | |
| | | | 4 | 7 | 6 | |
| | | | | – | 0 | |
| | | | 4 | 7 | 6 | 2 |
| | | – | 4 | 1 | 1 | 5 |
| | | | | 6 | 4 | 7 |
STEP 15: SUBTRACT 4762 - 4115 = 647
|
| | | | 0 | 0 | 0 | 5 |
| 8 | 2 | 3 | 4 | 7 | 6 | 2 |
| | | – | 0 | | | |
| | | | 4 | 7 | | |
| | | | – | 0 | | |
| | | | 4 | 7 | 6 | |
| | | | | – | 0 | |
| | | | 4 | 7 | 6 | 2 |
| | | – | 4 | 1 | 1 | 5 |
| | | | | 6 | 4 | 7 |
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