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Question
What is the quotient and remainder when $ 861 $ is divided by $ 41 $ ?
Answer
The quotient is 21 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 2 | 1 |
| 4 | 1 | 8 | 6 | 1 |
| | – | 0 | | |
| | | 8 | 6 | |
| | – | 8 | 2 | |
| | | | 4 | 1 |
| | | – | 4 | 1 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
| 4 | 1 | 8 | 6 | 1 |
STEP 1: DIVIDE 8 : 41 = 0 with a remainder of 8
|
| | | 0 | | |
| 4 | 1 | 8 | 6 | 1 |
STEP 2: MULTIPLY 0 · 41 = 0
|
| | | 0 | | |
| 4 | 1 | 8 | 6 | 1 |
| | | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | |
| 4 | 1 | 8 | 6 | 1 |
| | – | 0 | | |
| | | 8 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 4 | 1 | 8 | 6 | 1 |
| | – | 0 | | |
| | | 8 | 6 | |
STEP 5: DIVIDE 86 : 41 = 2 with a remainder of 4
|
| | | 0 | 2 | |
| 4 | 1 | 8 | 6 | 1 |
| | – | 0 | | |
| | | 8 | 6 | |
STEP 6: MULTIPLY 2 · 41 = 82
|
| | | 0 | 2 | |
| 4 | 1 | 8 | 6 | 1 |
| | – | 0 | | |
| | | 8 | 6 | |
| | | 8 | 2 | |
STEP 7: SUBTRACT 86 - 82 = 4
|
| | | 0 | 2 | |
| 4 | 1 | 8 | 6 | 1 |
| | – | 0 | | |
| | | 8 | 6 | |
| | – | 8 | 2 | |
| | | | 4 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | |
| 4 | 1 | 8 | 6 | 1 |
| | – | 0 | | |
| | | 8 | 6 | |
| | – | 8 | 2 | |
| | | | 4 | 1 |
STEP 9: DIVIDE 41 : 41 = 1 with a remainder of 0
|
| | | 0 | 2 | 1 |
| 4 | 1 | 8 | 6 | 1 |
| | – | 0 | | |
| | | 8 | 6 | |
| | – | 8 | 2 | |
| | | | 4 | 1 |
STEP 10: MULTIPLY 1 · 41 = 41
|
| | | 0 | 2 | 1 |
| 4 | 1 | 8 | 6 | 1 |
| | – | 0 | | |
| | | 8 | 6 | |
| | – | 8 | 2 | |
| | | | 4 | 1 |
| | | | 4 | 1 |
STEP 11: SUBTRACT 41 - 41 = 0
|
| | | 0 | 2 | 1 |
| 4 | 1 | 8 | 6 | 1 |
| | – | 0 | | |
| | | 8 | 6 | |
| | – | 8 | 2 | |
| | | | 4 | 1 |
| | | – | 4 | 1 |
| | | | | 0 |
STEP 11: SUBTRACT 41 - 41 = 0
|
| | | 0 | 2 | 1 |
| 4 | 1 | 8 | 6 | 1 |
| | – | 0 | | |
| | | 8 | 6 | |
| | – | 8 | 2 | |
| | | | 4 | 1 |
| | | – | 4 | 1 |
| | | | | 0 |
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