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What is the quotient and remainder when $ 515 $ is divided by $ 41 $ ?
Answer
The quotient is 12 and the remainder is 23.
Explanation
Division Table
|
| | 0 | 1 | 2 |
4 | 1 | 5 | 1 | 5 |
| – | 0 | | |
| | 5 | 1 | |
| – | 4 | 1 | |
| | 1 | 0 | 5 |
| | – | 8 | 2 |
| | | 2 | 3 |
STEP 0: set up a division table
|
| | | | |
4 | 1 | 5 | 1 | 5 |
STEP 1: DIVIDE 5 : 41 = 0 with a remainder of 5
|
| | 0 | | |
4 | 1 | 5 | 1 | 5 |
STEP 2: MULTIPLY 0 · 41 = 0
|
| | 0 | | |
4 | 1 | 5 | 1 | 5 |
| | 0 | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | 0 | | |
4 | 1 | 5 | 1 | 5 |
| – | 0 | | |
| | 5 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
4 | 1 | 5 | 1 | 5 |
| – | 0 | | |
| | 5 | 1 | |
STEP 5: DIVIDE 51 : 41 = 1 with a remainder of 10
|
| | 0 | 1 | |
4 | 1 | 5 | 1 | 5 |
| – | 0 | | |
| | 5 | 1 | |
STEP 6: MULTIPLY 1 · 41 = 41
|
| | 0 | 1 | |
4 | 1 | 5 | 1 | 5 |
| – | 0 | | |
| | 5 | 1 | |
| | 4 | 1 | |
STEP 7: SUBTRACT 51 - 41 = 10
|
| | 0 | 1 | |
4 | 1 | 5 | 1 | 5 |
| – | 0 | | |
| | 5 | 1 | |
| – | 4 | 1 | |
| | 1 | 0 | |
STEP 8: BRING DOWN
|
| | 0 | 1 | |
4 | 1 | 5 | 1 | 5 |
| – | 0 | | |
| | 5 | 1 | |
| – | 4 | 1 | |
| | 1 | 0 | 5 |
STEP 9: DIVIDE 105 : 41 = 2 with a remainder of 23
|
| | 0 | 1 | 2 |
4 | 1 | 5 | 1 | 5 |
| – | 0 | | |
| | 5 | 1 | |
| – | 4 | 1 | |
| | 1 | 0 | 5 |
STEP 10: MULTIPLY 2 · 41 = 82
|
| | 0 | 1 | 2 |
4 | 1 | 5 | 1 | 5 |
| – | 0 | | |
| | 5 | 1 | |
| – | 4 | 1 | |
| | 1 | 0 | 5 |
| | | 8 | 2 |
STEP 11: SUBTRACT 105 - 82 = 23
|
| | 0 | 1 | 2 |
4 | 1 | 5 | 1 | 5 |
| – | 0 | | |
| | 5 | 1 | |
| – | 4 | 1 | |
| | 1 | 0 | 5 |
| | – | 8 | 2 |
| | | 2 | 3 |
STEP 11: SUBTRACT 105 - 82 = 23
|
| | 0 | 1 | 2 |
4 | 1 | 5 | 1 | 5 |
| – | 0 | | |
| | 5 | 1 | |
| – | 4 | 1 | |
| | 1 | 0 | 5 |
| | – | 8 | 2 |
| | | 2 | 3 |
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