Question
What is the quotient and remainder when $ 1333 $ is divided by $ 43 $ ?
Answer
The quotient is 31 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 0 | 3 | 1 | ||
| 4 | 3 | 1 | 3 | 3 | 3 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 3 | |||
| – | 1 | 2 | 9 | ||
| 4 | 3 | ||||
| – | 4 | 3 | |||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 4 | 3 | 1 | 3 | 3 | 3 |
|
STEP 1: DIVIDE 1 : 43 = 0 with a remainder of 1 |
|||||
| 0 | |||||
| 4 | 3 | 1 | 3 | 3 | 3 |
|
STEP 2: MULTIPLY 0 · 43 = 0 |
|||||
| 0 | |||||
| 4 | 3 | 1 | 3 | 3 | 3 |
| 0 | |||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||||
| 0 | |||||
| 4 | 3 | 1 | 3 | 3 | 3 |
| – | 0 | ||||
| 1 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 4 | 3 | 1 | 3 | 3 | 3 |
| – | 0 | ||||
| 1 | 3 | ||||
|
STEP 5: DIVIDE 13 : 43 = 0 with a remainder of 13 |
|||||
| 0 | 0 | ||||
| 4 | 3 | 1 | 3 | 3 | 3 |
| – | 0 | ||||
| 1 | 3 | ||||
|
STEP 6: MULTIPLY 0 · 43 = 0 |
|||||
| 0 | 0 | ||||
| 4 | 3 | 1 | 3 | 3 | 3 |
| – | 0 | ||||
| 1 | 3 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 13 - 0 = 13 |
|||||
| 0 | 0 | ||||
| 4 | 3 | 1 | 3 | 3 | 3 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 4 | 3 | 1 | 3 | 3 | 3 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 3 | |||
|
STEP 9: DIVIDE 133 : 43 = 3 with a remainder of 4 |
|||||
| 0 | 0 | 3 | |||
| 4 | 3 | 1 | 3 | 3 | 3 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 3 | |||
|
STEP 10: MULTIPLY 3 · 43 = 129 |
|||||
| 0 | 0 | 3 | |||
| 4 | 3 | 1 | 3 | 3 | 3 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 3 | |||
| 1 | 2 | 9 | |||
|
STEP 11: SUBTRACT 133 - 129 = 4 |
|||||
| 0 | 0 | 3 | |||
| 4 | 3 | 1 | 3 | 3 | 3 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 3 | |||
| – | 1 | 2 | 9 | ||
| 4 | |||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 3 | |||
| 4 | 3 | 1 | 3 | 3 | 3 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 3 | |||
| – | 1 | 2 | 9 | ||
| 4 | 3 | ||||
|
STEP 13: DIVIDE 43 : 43 = 1 with a remainder of 0 |
|||||
| 0 | 0 | 3 | 1 | ||
| 4 | 3 | 1 | 3 | 3 | 3 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 3 | |||
| – | 1 | 2 | 9 | ||
| 4 | 3 | ||||
|
STEP 14: MULTIPLY 1 · 43 = 43 |
|||||
| 0 | 0 | 3 | 1 | ||
| 4 | 3 | 1 | 3 | 3 | 3 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 3 | |||
| – | 1 | 2 | 9 | ||
| 4 | 3 | ||||
| 4 | 3 | ||||
|
STEP 15: SUBTRACT 43 - 43 = 0 |
|||||
| 0 | 0 | 3 | 1 | ||
| 4 | 3 | 1 | 3 | 3 | 3 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 3 | |||
| – | 1 | 2 | 9 | ||
| 4 | 3 | ||||
| – | 4 | 3 | |||
| 0 | |||||
|
STEP 15: SUBTRACT 43 - 43 = 0 |
|||||
| 0 | 0 | 3 | 1 | ||
| 4 | 3 | 1 | 3 | 3 | 3 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 3 | |||
| – | 1 | 2 | 9 | ||
| 4 | 3 | ||||
| – | 4 | 3 | |||
| 0 | |||||
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