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Question
What is the quotient and remainder when $ 8970 $ is divided by $ 287 $ ?
Answer
The quotient is 31 and the remainder is 73.
Explanation
Division Table
|
| | | 0 | 0 | 3 | 1 |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
| | – | 0 | | | |
| | | 8 | 9 | | |
| | | – | 0 | | |
| | | 8 | 9 | 7 | |
| | – | 8 | 6 | 1 | |
| | | | 3 | 6 | 0 |
| | | – | 2 | 8 | 7 |
| | | | | 7 | 3 |
STEP 0: set up a division table
|
| | | | | | |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
STEP 1: DIVIDE 8 : 287 = 0 with a remainder of 8
|
| | | 0 | | | |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
STEP 2: MULTIPLY 0 · 287 = 0
|
| | | 0 | | | |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | | |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
| | – | 0 | | | |
| | | 8 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
| | – | 0 | | | |
| | | 8 | 9 | | |
STEP 5: DIVIDE 89 : 287 = 0 with a remainder of 89
|
| | | 0 | 0 | | |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
| | – | 0 | | | |
| | | 8 | 9 | | |
STEP 6: MULTIPLY 0 · 287 = 0
|
| | | 0 | 0 | | |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
| | – | 0 | | | |
| | | 8 | 9 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 89 - 0 = 89
|
| | | 0 | 0 | | |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
| | – | 0 | | | |
| | | 8 | 9 | | |
| | | – | 0 | | |
| | | 8 | 9 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
| | – | 0 | | | |
| | | 8 | 9 | | |
| | | – | 0 | | |
| | | 8 | 9 | 7 | |
STEP 9: DIVIDE 897 : 287 = 3 with a remainder of 36
|
| | | 0 | 0 | 3 | |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
| | – | 0 | | | |
| | | 8 | 9 | | |
| | | – | 0 | | |
| | | 8 | 9 | 7 | |
STEP 10: MULTIPLY 3 · 287 = 861
|
| | | 0 | 0 | 3 | |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
| | – | 0 | | | |
| | | 8 | 9 | | |
| | | – | 0 | | |
| | | 8 | 9 | 7 | |
| | | 8 | 6 | 1 | |
STEP 11: SUBTRACT 897 - 861 = 36
|
| | | 0 | 0 | 3 | |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
| | – | 0 | | | |
| | | 8 | 9 | | |
| | | – | 0 | | |
| | | 8 | 9 | 7 | |
| | – | 8 | 6 | 1 | |
| | | | 3 | 6 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 3 | |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
| | – | 0 | | | |
| | | 8 | 9 | | |
| | | – | 0 | | |
| | | 8 | 9 | 7 | |
| | – | 8 | 6 | 1 | |
| | | | 3 | 6 | 0 |
STEP 13: DIVIDE 360 : 287 = 1 with a remainder of 73
|
| | | 0 | 0 | 3 | 1 |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
| | – | 0 | | | |
| | | 8 | 9 | | |
| | | – | 0 | | |
| | | 8 | 9 | 7 | |
| | – | 8 | 6 | 1 | |
| | | | 3 | 6 | 0 |
STEP 14: MULTIPLY 1 · 287 = 287
|
| | | 0 | 0 | 3 | 1 |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
| | – | 0 | | | |
| | | 8 | 9 | | |
| | | – | 0 | | |
| | | 8 | 9 | 7 | |
| | – | 8 | 6 | 1 | |
| | | | 3 | 6 | 0 |
| | | | 2 | 8 | 7 |
STEP 15: SUBTRACT 360 - 287 = 73
|
| | | 0 | 0 | 3 | 1 |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
| | – | 0 | | | |
| | | 8 | 9 | | |
| | | – | 0 | | |
| | | 8 | 9 | 7 | |
| | – | 8 | 6 | 1 | |
| | | | 3 | 6 | 0 |
| | | – | 2 | 8 | 7 |
| | | | | 7 | 3 |
STEP 15: SUBTRACT 360 - 287 = 73
|
| | | 0 | 0 | 3 | 1 |
2 | 8 | 7 | 8 | 9 | 7 | 0 |
| | – | 0 | | | |
| | | 8 | 9 | | |
| | | – | 0 | | |
| | | 8 | 9 | 7 | |
| | – | 8 | 6 | 1 | |
| | | | 3 | 6 | 0 |
| | | – | 2 | 8 | 7 |
| | | | | 7 | 3 |
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