Question
What is the quotient and remainder when $ 3381 $ is divided by $ 23 $ ?
Answer
The quotient is 147 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 1 | 4 | 7 | ||
| 2 | 3 | 3 | 3 | 8 | 1 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 2 | 3 | |||
| 1 | 0 | 8 | |||
| – | 9 | 2 | |||
| 1 | 6 | 1 | |||
| – | 1 | 6 | 1 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 2 | 3 | 3 | 3 | 8 | 1 |
|
STEP 1: DIVIDE 3 : 23 = 0 with a remainder of 3 |
|||||
| 0 | |||||
| 2 | 3 | 3 | 3 | 8 | 1 |
|
STEP 2: MULTIPLY 0 · 23 = 0 |
|||||
| 0 | |||||
| 2 | 3 | 3 | 3 | 8 | 1 |
| 0 | |||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
|||||
| 0 | |||||
| 2 | 3 | 3 | 3 | 8 | 1 |
| – | 0 | ||||
| 3 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 2 | 3 | 3 | 3 | 8 | 1 |
| – | 0 | ||||
| 3 | 3 | ||||
|
STEP 5: DIVIDE 33 : 23 = 1 with a remainder of 10 |
|||||
| 0 | 1 | ||||
| 2 | 3 | 3 | 3 | 8 | 1 |
| – | 0 | ||||
| 3 | 3 | ||||
|
STEP 6: MULTIPLY 1 · 23 = 23 |
|||||
| 0 | 1 | ||||
| 2 | 3 | 3 | 3 | 8 | 1 |
| – | 0 | ||||
| 3 | 3 | ||||
| 2 | 3 | ||||
|
STEP 7: SUBTRACT 33 - 23 = 10 |
|||||
| 0 | 1 | ||||
| 2 | 3 | 3 | 3 | 8 | 1 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 2 | 3 | |||
| 1 | 0 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 1 | ||||
| 2 | 3 | 3 | 3 | 8 | 1 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 2 | 3 | |||
| 1 | 0 | 8 | |||
|
STEP 9: DIVIDE 108 : 23 = 4 with a remainder of 16 |
|||||
| 0 | 1 | 4 | |||
| 2 | 3 | 3 | 3 | 8 | 1 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 2 | 3 | |||
| 1 | 0 | 8 | |||
|
STEP 10: MULTIPLY 4 · 23 = 92 |
|||||
| 0 | 1 | 4 | |||
| 2 | 3 | 3 | 3 | 8 | 1 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 2 | 3 | |||
| 1 | 0 | 8 | |||
| 9 | 2 | ||||
|
STEP 11: SUBTRACT 108 - 92 = 16 |
|||||
| 0 | 1 | 4 | |||
| 2 | 3 | 3 | 3 | 8 | 1 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 2 | 3 | |||
| 1 | 0 | 8 | |||
| – | 9 | 2 | |||
| 1 | 6 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 1 | 4 | |||
| 2 | 3 | 3 | 3 | 8 | 1 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 2 | 3 | |||
| 1 | 0 | 8 | |||
| – | 9 | 2 | |||
| 1 | 6 | 1 | |||
|
STEP 13: DIVIDE 161 : 23 = 7 with a remainder of 0 |
|||||
| 0 | 1 | 4 | 7 | ||
| 2 | 3 | 3 | 3 | 8 | 1 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 2 | 3 | |||
| 1 | 0 | 8 | |||
| – | 9 | 2 | |||
| 1 | 6 | 1 | |||
|
STEP 14: MULTIPLY 7 · 23 = 161 |
|||||
| 0 | 1 | 4 | 7 | ||
| 2 | 3 | 3 | 3 | 8 | 1 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 2 | 3 | |||
| 1 | 0 | 8 | |||
| – | 9 | 2 | |||
| 1 | 6 | 1 | |||
| 1 | 6 | 1 | |||
|
STEP 15: SUBTRACT 161 - 161 = 0 |
|||||
| 0 | 1 | 4 | 7 | ||
| 2 | 3 | 3 | 3 | 8 | 1 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 2 | 3 | |||
| 1 | 0 | 8 | |||
| – | 9 | 2 | |||
| 1 | 6 | 1 | |||
| – | 1 | 6 | 1 | ||
| 0 | |||||
|
STEP 15: SUBTRACT 161 - 161 = 0 |
|||||
| 0 | 1 | 4 | 7 | ||
| 2 | 3 | 3 | 3 | 8 | 1 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 2 | 3 | |||
| 1 | 0 | 8 | |||
| – | 9 | 2 | |||
| 1 | 6 | 1 | |||
| – | 1 | 6 | 1 | ||
| 0 | |||||
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