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Question
What is the quotient and remainder when $ 9635 $ is divided by $ 41 $ ?
Answer
The quotient is 235 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 2 | 3 | 5 |
| 4 | 1 | 9 | 6 | 3 | 5 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 2 | | |
| | | 1 | 4 | 3 | |
| | – | 1 | 2 | 3 | |
| | | | 2 | 0 | 5 |
| | | – | 2 | 0 | 5 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 1 | 9 | 6 | 3 | 5 |
STEP 1: DIVIDE 9 : 41 = 0 with a remainder of 9
|
| | | 0 | | | |
| 4 | 1 | 9 | 6 | 3 | 5 |
STEP 2: MULTIPLY 0 · 41 = 0
|
| | | 0 | | | |
| 4 | 1 | 9 | 6 | 3 | 5 |
| | | 0 | | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | 0 | | | |
| 4 | 1 | 9 | 6 | 3 | 5 |
| | – | 0 | | | |
| | | 9 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 4 | 1 | 9 | 6 | 3 | 5 |
| | – | 0 | | | |
| | | 9 | 6 | | |
STEP 5: DIVIDE 96 : 41 = 2 with a remainder of 14
|
| | | 0 | 2 | | |
| 4 | 1 | 9 | 6 | 3 | 5 |
| | – | 0 | | | |
| | | 9 | 6 | | |
STEP 6: MULTIPLY 2 · 41 = 82
|
| | | 0 | 2 | | |
| 4 | 1 | 9 | 6 | 3 | 5 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | | 8 | 2 | | |
STEP 7: SUBTRACT 96 - 82 = 14
|
| | | 0 | 2 | | |
| 4 | 1 | 9 | 6 | 3 | 5 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 2 | | |
| | | 1 | 4 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | | |
| 4 | 1 | 9 | 6 | 3 | 5 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 2 | | |
| | | 1 | 4 | 3 | |
STEP 9: DIVIDE 143 : 41 = 3 with a remainder of 20
|
| | | 0 | 2 | 3 | |
| 4 | 1 | 9 | 6 | 3 | 5 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 2 | | |
| | | 1 | 4 | 3 | |
STEP 10: MULTIPLY 3 · 41 = 123
|
| | | 0 | 2 | 3 | |
| 4 | 1 | 9 | 6 | 3 | 5 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 2 | | |
| | | 1 | 4 | 3 | |
| | | 1 | 2 | 3 | |
STEP 11: SUBTRACT 143 - 123 = 20
|
| | | 0 | 2 | 3 | |
| 4 | 1 | 9 | 6 | 3 | 5 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 2 | | |
| | | 1 | 4 | 3 | |
| | – | 1 | 2 | 3 | |
| | | | 2 | 0 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 2 | 3 | |
| 4 | 1 | 9 | 6 | 3 | 5 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 2 | | |
| | | 1 | 4 | 3 | |
| | – | 1 | 2 | 3 | |
| | | | 2 | 0 | 5 |
STEP 13: DIVIDE 205 : 41 = 5 with a remainder of 0
|
| | | 0 | 2 | 3 | 5 |
| 4 | 1 | 9 | 6 | 3 | 5 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 2 | | |
| | | 1 | 4 | 3 | |
| | – | 1 | 2 | 3 | |
| | | | 2 | 0 | 5 |
STEP 14: MULTIPLY 5 · 41 = 205
|
| | | 0 | 2 | 3 | 5 |
| 4 | 1 | 9 | 6 | 3 | 5 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 2 | | |
| | | 1 | 4 | 3 | |
| | – | 1 | 2 | 3 | |
| | | | 2 | 0 | 5 |
| | | | 2 | 0 | 5 |
STEP 15: SUBTRACT 205 - 205 = 0
|
| | | 0 | 2 | 3 | 5 |
| 4 | 1 | 9 | 6 | 3 | 5 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 2 | | |
| | | 1 | 4 | 3 | |
| | – | 1 | 2 | 3 | |
| | | | 2 | 0 | 5 |
| | | – | 2 | 0 | 5 |
| | | | | | 0 |
STEP 15: SUBTRACT 205 - 205 = 0
|
| | | 0 | 2 | 3 | 5 |
| 4 | 1 | 9 | 6 | 3 | 5 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 2 | | |
| | | 1 | 4 | 3 | |
| | – | 1 | 2 | 3 | |
| | | | 2 | 0 | 5 |
| | | – | 2 | 0 | 5 |
| | | | | | 0 |
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