Question
What is the quotient and remainder when $ 6732 $ is divided by $ 33 $ ?
Answer
The quotient is 204 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 2 | 0 | 4 | ||
| 3 | 3 | 6 | 7 | 3 | 2 |
| – | 0 | ||||
| 6 | 7 | ||||
| – | 6 | 6 | |||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 2 | |||
| – | 1 | 3 | 2 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 3 | 3 | 6 | 7 | 3 | 2 |
|
STEP 1: DIVIDE 6 : 33 = 0 with a remainder of 6 |
|||||
| 0 | |||||
| 3 | 3 | 6 | 7 | 3 | 2 |
|
STEP 2: MULTIPLY 0 · 33 = 0 |
|||||
| 0 | |||||
| 3 | 3 | 6 | 7 | 3 | 2 |
| 0 | |||||
|
STEP 3: SUBTRACT 6 - 0 = 6 |
|||||
| 0 | |||||
| 3 | 3 | 6 | 7 | 3 | 2 |
| – | 0 | ||||
| 6 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 3 | 3 | 6 | 7 | 3 | 2 |
| – | 0 | ||||
| 6 | 7 | ||||
|
STEP 5: DIVIDE 67 : 33 = 2 with a remainder of 1 |
|||||
| 0 | 2 | ||||
| 3 | 3 | 6 | 7 | 3 | 2 |
| – | 0 | ||||
| 6 | 7 | ||||
|
STEP 6: MULTIPLY 2 · 33 = 66 |
|||||
| 0 | 2 | ||||
| 3 | 3 | 6 | 7 | 3 | 2 |
| – | 0 | ||||
| 6 | 7 | ||||
| 6 | 6 | ||||
|
STEP 7: SUBTRACT 67 - 66 = 1 |
|||||
| 0 | 2 | ||||
| 3 | 3 | 6 | 7 | 3 | 2 |
| – | 0 | ||||
| 6 | 7 | ||||
| – | 6 | 6 | |||
| 1 | |||||
| STEP 8: BRING DOWN | |||||
| 0 | 2 | ||||
| 3 | 3 | 6 | 7 | 3 | 2 |
| – | 0 | ||||
| 6 | 7 | ||||
| – | 6 | 6 | |||
| 1 | 3 | ||||
|
STEP 9: DIVIDE 13 : 33 = 0 with a remainder of 13 |
|||||
| 0 | 2 | 0 | |||
| 3 | 3 | 6 | 7 | 3 | 2 |
| – | 0 | ||||
| 6 | 7 | ||||
| – | 6 | 6 | |||
| 1 | 3 | ||||
|
STEP 10: MULTIPLY 0 · 33 = 0 |
|||||
| 0 | 2 | 0 | |||
| 3 | 3 | 6 | 7 | 3 | 2 |
| – | 0 | ||||
| 6 | 7 | ||||
| – | 6 | 6 | |||
| 1 | 3 | ||||
| 0 | |||||
|
STEP 11: SUBTRACT 13 - 0 = 13 |
|||||
| 0 | 2 | 0 | |||
| 3 | 3 | 6 | 7 | 3 | 2 |
| – | 0 | ||||
| 6 | 7 | ||||
| – | 6 | 6 | |||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 2 | 0 | |||
| 3 | 3 | 6 | 7 | 3 | 2 |
| – | 0 | ||||
| 6 | 7 | ||||
| – | 6 | 6 | |||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 2 | |||
|
STEP 13: DIVIDE 132 : 33 = 4 with a remainder of 0 |
|||||
| 0 | 2 | 0 | 4 | ||
| 3 | 3 | 6 | 7 | 3 | 2 |
| – | 0 | ||||
| 6 | 7 | ||||
| – | 6 | 6 | |||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 2 | |||
|
STEP 14: MULTIPLY 4 · 33 = 132 |
|||||
| 0 | 2 | 0 | 4 | ||
| 3 | 3 | 6 | 7 | 3 | 2 |
| – | 0 | ||||
| 6 | 7 | ||||
| – | 6 | 6 | |||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 2 | |||
| 1 | 3 | 2 | |||
|
STEP 15: SUBTRACT 132 - 132 = 0 |
|||||
| 0 | 2 | 0 | 4 | ||
| 3 | 3 | 6 | 7 | 3 | 2 |
| – | 0 | ||||
| 6 | 7 | ||||
| – | 6 | 6 | |||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 2 | |||
| – | 1 | 3 | 2 | ||
| 0 | |||||
|
STEP 15: SUBTRACT 132 - 132 = 0 |
|||||
| 0 | 2 | 0 | 4 | ||
| 3 | 3 | 6 | 7 | 3 | 2 |
| – | 0 | ||||
| 6 | 7 | ||||
| – | 6 | 6 | |||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 2 | |||
| – | 1 | 3 | 2 | ||
| 0 | |||||
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