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Question
What is the quotient and remainder when $ 839 $ is divided by $ 1481 $ ?
Answer
The quotient is 0 and the remainder is 839.
Explanation
|
Division Table
|
| | | | | 0 | 0 | 0 |
| 1 | 4 | 8 | 1 | 8 | 3 | 9 |
| | | | – | 0 | | |
| | | | | 8 | 3 | |
| | | | | – | 0 | |
| | | | | 8 | 3 | 9 |
| | | | | | – | 0 |
| | | | | 8 | 3 | 9 |
STEP 0: set up a division table
|
| | | | | | | |
| 1 | 4 | 8 | 1 | 8 | 3 | 9 |
STEP 1: DIVIDE 8 : 1481 = 0 with a remainder of 8
|
| | | | | 0 | | |
| 1 | 4 | 8 | 1 | 8 | 3 | 9 |
STEP 2: MULTIPLY 0 · 1481 = 0
|
| | | | | 0 | | |
| 1 | 4 | 8 | 1 | 8 | 3 | 9 |
| | | | | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | | | 0 | | |
| 1 | 4 | 8 | 1 | 8 | 3 | 9 |
| | | | – | 0 | | |
| | | | | 8 | | |
|
STEP 4: BRING DOWN
|
| | | | | 0 | | |
| 1 | 4 | 8 | 1 | 8 | 3 | 9 |
| | | | – | 0 | | |
| | | | | 8 | 3 | |
STEP 5: DIVIDE 83 : 1481 = 0 with a remainder of 83
|
| | | | | 0 | 0 | |
| 1 | 4 | 8 | 1 | 8 | 3 | 9 |
| | | | – | 0 | | |
| | | | | 8 | 3 | |
STEP 6: MULTIPLY 0 · 1481 = 0
|
| | | | | 0 | 0 | |
| 1 | 4 | 8 | 1 | 8 | 3 | 9 |
| | | | – | 0 | | |
| | | | | 8 | 3 | |
| | | | | | 0 | |
STEP 7: SUBTRACT 83 - 0 = 83
|
| | | | | 0 | 0 | |
| 1 | 4 | 8 | 1 | 8 | 3 | 9 |
| | | | – | 0 | | |
| | | | | 8 | 3 | |
| | | | | – | 0 | |
| | | | | 8 | 3 | |
|
STEP 8: BRING DOWN
|
| | | | | 0 | 0 | |
| 1 | 4 | 8 | 1 | 8 | 3 | 9 |
| | | | – | 0 | | |
| | | | | 8 | 3 | |
| | | | | – | 0 | |
| | | | | 8 | 3 | 9 |
STEP 9: DIVIDE 839 : 1481 = 0 with a remainder of 839
|
| | | | | 0 | 0 | 0 |
| 1 | 4 | 8 | 1 | 8 | 3 | 9 |
| | | | – | 0 | | |
| | | | | 8 | 3 | |
| | | | | – | 0 | |
| | | | | 8 | 3 | 9 |
STEP 10: MULTIPLY 0 · 1481 = 0
|
| | | | | 0 | 0 | 0 |
| 1 | 4 | 8 | 1 | 8 | 3 | 9 |
| | | | – | 0 | | |
| | | | | 8 | 3 | |
| | | | | – | 0 | |
| | | | | 8 | 3 | 9 |
| | | | | | | 0 |
STEP 11: SUBTRACT 839 - 0 = 839
|
| | | | | 0 | 0 | 0 |
| 1 | 4 | 8 | 1 | 8 | 3 | 9 |
| | | | – | 0 | | |
| | | | | 8 | 3 | |
| | | | | – | 0 | |
| | | | | 8 | 3 | 9 |
| | | | | | – | 0 |
| | | | | 8 | 3 | 9 |
STEP 11: SUBTRACT 839 - 0 = 839
|
| | | | | 0 | 0 | 0 |
| 1 | 4 | 8 | 1 | 8 | 3 | 9 |
| | | | – | 0 | | |
| | | | | 8 | 3 | |
| | | | | – | 0 | |
| | | | | 8 | 3 | 9 |
| | | | | | – | 0 |
| | | | | 8 | 3 | 9 |
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