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Question
What is the quotient and remainder when $ 8062 $ is divided by $ 41 $ ?
Answer
The quotient is 196 and the remainder is 26.
Explanation
|
Division Table
|
| | | 0 | 1 | 9 | 6 |
| 4 | 1 | 8 | 0 | 6 | 2 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 4 | 1 | | |
| | | 3 | 9 | 6 | |
| | – | 3 | 6 | 9 | |
| | | | 2 | 7 | 2 |
| | | – | 2 | 4 | 6 |
| | | | | 2 | 6 |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 1 | 8 | 0 | 6 | 2 |
STEP 1: DIVIDE 8 : 41 = 0 with a remainder of 8
|
| | | 0 | | | |
| 4 | 1 | 8 | 0 | 6 | 2 |
STEP 2: MULTIPLY 0 · 41 = 0
|
| | | 0 | | | |
| 4 | 1 | 8 | 0 | 6 | 2 |
| | | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | | |
| 4 | 1 | 8 | 0 | 6 | 2 |
| | – | 0 | | | |
| | | 8 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 4 | 1 | 8 | 0 | 6 | 2 |
| | – | 0 | | | |
| | | 8 | 0 | | |
STEP 5: DIVIDE 80 : 41 = 1 with a remainder of 39
|
| | | 0 | 1 | | |
| 4 | 1 | 8 | 0 | 6 | 2 |
| | – | 0 | | | |
| | | 8 | 0 | | |
STEP 6: MULTIPLY 1 · 41 = 41
|
| | | 0 | 1 | | |
| 4 | 1 | 8 | 0 | 6 | 2 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | | 4 | 1 | | |
STEP 7: SUBTRACT 80 - 41 = 39
|
| | | 0 | 1 | | |
| 4 | 1 | 8 | 0 | 6 | 2 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 4 | 1 | | |
| | | 3 | 9 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 4 | 1 | 8 | 0 | 6 | 2 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 4 | 1 | | |
| | | 3 | 9 | 6 | |
STEP 9: DIVIDE 396 : 41 = 9 with a remainder of 27
|
| | | 0 | 1 | 9 | |
| 4 | 1 | 8 | 0 | 6 | 2 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 4 | 1 | | |
| | | 3 | 9 | 6 | |
STEP 10: MULTIPLY 9 · 41 = 369
|
| | | 0 | 1 | 9 | |
| 4 | 1 | 8 | 0 | 6 | 2 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 4 | 1 | | |
| | | 3 | 9 | 6 | |
| | | 3 | 6 | 9 | |
STEP 11: SUBTRACT 396 - 369 = 27
|
| | | 0 | 1 | 9 | |
| 4 | 1 | 8 | 0 | 6 | 2 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 4 | 1 | | |
| | | 3 | 9 | 6 | |
| | – | 3 | 6 | 9 | |
| | | | 2 | 7 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 9 | |
| 4 | 1 | 8 | 0 | 6 | 2 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 4 | 1 | | |
| | | 3 | 9 | 6 | |
| | – | 3 | 6 | 9 | |
| | | | 2 | 7 | 2 |
STEP 13: DIVIDE 272 : 41 = 6 with a remainder of 26
|
| | | 0 | 1 | 9 | 6 |
| 4 | 1 | 8 | 0 | 6 | 2 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 4 | 1 | | |
| | | 3 | 9 | 6 | |
| | – | 3 | 6 | 9 | |
| | | | 2 | 7 | 2 |
STEP 14: MULTIPLY 6 · 41 = 246
|
| | | 0 | 1 | 9 | 6 |
| 4 | 1 | 8 | 0 | 6 | 2 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 4 | 1 | | |
| | | 3 | 9 | 6 | |
| | – | 3 | 6 | 9 | |
| | | | 2 | 7 | 2 |
| | | | 2 | 4 | 6 |
STEP 15: SUBTRACT 272 - 246 = 26
|
| | | 0 | 1 | 9 | 6 |
| 4 | 1 | 8 | 0 | 6 | 2 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 4 | 1 | | |
| | | 3 | 9 | 6 | |
| | – | 3 | 6 | 9 | |
| | | | 2 | 7 | 2 |
| | | – | 2 | 4 | 6 |
| | | | | 2 | 6 |
STEP 15: SUBTRACT 272 - 246 = 26
|
| | | 0 | 1 | 9 | 6 |
| 4 | 1 | 8 | 0 | 6 | 2 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 4 | 1 | | |
| | | 3 | 9 | 6 | |
| | – | 3 | 6 | 9 | |
| | | | 2 | 7 | 2 |
| | | – | 2 | 4 | 6 |
| | | | | 2 | 6 |
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