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Question
What is the quotient and remainder when $ 2376 $ is divided by $ 880 $ ?
Answer
The quotient is 2 and the remainder is 616.
Explanation
|
Division Table
|
| | | | 0 | 0 | 0 | 2 |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
| | | – | 0 | | | |
| | | | 2 | 3 | | |
| | | | – | 0 | | |
| | | | 2 | 3 | 7 | |
| | | | | – | 0 | |
| | | | 2 | 3 | 7 | 6 |
| | | – | 1 | 7 | 6 | 0 |
| | | | | 6 | 1 | 6 |
STEP 0: set up a division table
|
| | | | | | | |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
STEP 1: DIVIDE 2 : 880 = 0 with a remainder of 2
|
| | | | 0 | | | |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
STEP 2: MULTIPLY 0 · 880 = 0
|
| | | | 0 | | | |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
| | | | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | | 0 | | | |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
| | | – | 0 | | | |
| | | | 2 | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
| | | – | 0 | | | |
| | | | 2 | 3 | | |
STEP 5: DIVIDE 23 : 880 = 0 with a remainder of 23
|
| | | | 0 | 0 | | |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
| | | – | 0 | | | |
| | | | 2 | 3 | | |
STEP 6: MULTIPLY 0 · 880 = 0
|
| | | | 0 | 0 | | |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
| | | – | 0 | | | |
| | | | 2 | 3 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 23 - 0 = 23
|
| | | | 0 | 0 | | |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
| | | – | 0 | | | |
| | | | 2 | 3 | | |
| | | | – | 0 | | |
| | | | 2 | 3 | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
| | | – | 0 | | | |
| | | | 2 | 3 | | |
| | | | – | 0 | | |
| | | | 2 | 3 | 7 | |
STEP 9: DIVIDE 237 : 880 = 0 with a remainder of 237
|
| | | | 0 | 0 | 0 | |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
| | | – | 0 | | | |
| | | | 2 | 3 | | |
| | | | – | 0 | | |
| | | | 2 | 3 | 7 | |
STEP 10: MULTIPLY 0 · 880 = 0
|
| | | | 0 | 0 | 0 | |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
| | | – | 0 | | | |
| | | | 2 | 3 | | |
| | | | – | 0 | | |
| | | | 2 | 3 | 7 | |
| | | | | | 0 | |
STEP 11: SUBTRACT 237 - 0 = 237
|
| | | | 0 | 0 | 0 | |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
| | | – | 0 | | | |
| | | | 2 | 3 | | |
| | | | – | 0 | | |
| | | | 2 | 3 | 7 | |
| | | | | – | 0 | |
| | | | 2 | 3 | 7 | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 0 | |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
| | | – | 0 | | | |
| | | | 2 | 3 | | |
| | | | – | 0 | | |
| | | | 2 | 3 | 7 | |
| | | | | – | 0 | |
| | | | 2 | 3 | 7 | 6 |
STEP 13: DIVIDE 2376 : 880 = 2 with a remainder of 616
|
| | | | 0 | 0 | 0 | 2 |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
| | | – | 0 | | | |
| | | | 2 | 3 | | |
| | | | – | 0 | | |
| | | | 2 | 3 | 7 | |
| | | | | – | 0 | |
| | | | 2 | 3 | 7 | 6 |
STEP 14: MULTIPLY 2 · 880 = 1760
|
| | | | 0 | 0 | 0 | 2 |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
| | | – | 0 | | | |
| | | | 2 | 3 | | |
| | | | – | 0 | | |
| | | | 2 | 3 | 7 | |
| | | | | – | 0 | |
| | | | 2 | 3 | 7 | 6 |
| | | | 1 | 7 | 6 | 0 |
STEP 15: SUBTRACT 2376 - 1760 = 616
|
| | | | 0 | 0 | 0 | 2 |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
| | | – | 0 | | | |
| | | | 2 | 3 | | |
| | | | – | 0 | | |
| | | | 2 | 3 | 7 | |
| | | | | – | 0 | |
| | | | 2 | 3 | 7 | 6 |
| | | – | 1 | 7 | 6 | 0 |
| | | | | 6 | 1 | 6 |
STEP 15: SUBTRACT 2376 - 1760 = 616
|
| | | | 0 | 0 | 0 | 2 |
| 8 | 8 | 0 | 2 | 3 | 7 | 6 |
| | | – | 0 | | | |
| | | | 2 | 3 | | |
| | | | – | 0 | | |
| | | | 2 | 3 | 7 | |
| | | | | – | 0 | |
| | | | 2 | 3 | 7 | 6 |
| | | – | 1 | 7 | 6 | 0 |
| | | | | 6 | 1 | 6 |
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