Question
What is the quotient and remainder when $ 5632 $ is divided by $ 33 $ ?
Answer
The quotient is 170 and the remainder is 22.
Explanation
| Division Table | |||||
| 0 | 1 | 7 | 0 | ||
| 3 | 3 | 5 | 6 | 3 | 2 |
| – | 0 | ||||
| 5 | 6 | ||||
| – | 3 | 3 | |||
| 2 | 3 | 3 | |||
| – | 2 | 3 | 1 | ||
| 2 | 2 | ||||
| – | 0 | ||||
| 2 | 2 | ||||
|
STEP 0: set up a division table |
|||||
| 3 | 3 | 5 | 6 | 3 | 2 |
|
STEP 1: DIVIDE 5 : 33 = 0 with a remainder of 5 |
|||||
| 0 | |||||
| 3 | 3 | 5 | 6 | 3 | 2 |
|
STEP 2: MULTIPLY 0 · 33 = 0 |
|||||
| 0 | |||||
| 3 | 3 | 5 | 6 | 3 | 2 |
| 0 | |||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
|||||
| 0 | |||||
| 3 | 3 | 5 | 6 | 3 | 2 |
| – | 0 | ||||
| 5 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 3 | 3 | 5 | 6 | 3 | 2 |
| – | 0 | ||||
| 5 | 6 | ||||
|
STEP 5: DIVIDE 56 : 33 = 1 with a remainder of 23 |
|||||
| 0 | 1 | ||||
| 3 | 3 | 5 | 6 | 3 | 2 |
| – | 0 | ||||
| 5 | 6 | ||||
|
STEP 6: MULTIPLY 1 · 33 = 33 |
|||||
| 0 | 1 | ||||
| 3 | 3 | 5 | 6 | 3 | 2 |
| – | 0 | ||||
| 5 | 6 | ||||
| 3 | 3 | ||||
|
STEP 7: SUBTRACT 56 - 33 = 23 |
|||||
| 0 | 1 | ||||
| 3 | 3 | 5 | 6 | 3 | 2 |
| – | 0 | ||||
| 5 | 6 | ||||
| – | 3 | 3 | |||
| 2 | 3 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 1 | ||||
| 3 | 3 | 5 | 6 | 3 | 2 |
| – | 0 | ||||
| 5 | 6 | ||||
| – | 3 | 3 | |||
| 2 | 3 | 3 | |||
|
STEP 9: DIVIDE 233 : 33 = 7 with a remainder of 2 |
|||||
| 0 | 1 | 7 | |||
| 3 | 3 | 5 | 6 | 3 | 2 |
| – | 0 | ||||
| 5 | 6 | ||||
| – | 3 | 3 | |||
| 2 | 3 | 3 | |||
|
STEP 10: MULTIPLY 7 · 33 = 231 |
|||||
| 0 | 1 | 7 | |||
| 3 | 3 | 5 | 6 | 3 | 2 |
| – | 0 | ||||
| 5 | 6 | ||||
| – | 3 | 3 | |||
| 2 | 3 | 3 | |||
| 2 | 3 | 1 | |||
|
STEP 11: SUBTRACT 233 - 231 = 2 |
|||||
| 0 | 1 | 7 | |||
| 3 | 3 | 5 | 6 | 3 | 2 |
| – | 0 | ||||
| 5 | 6 | ||||
| – | 3 | 3 | |||
| 2 | 3 | 3 | |||
| – | 2 | 3 | 1 | ||
| 2 | |||||
| STEP 12: BRING DOWN | |||||
| 0 | 1 | 7 | |||
| 3 | 3 | 5 | 6 | 3 | 2 |
| – | 0 | ||||
| 5 | 6 | ||||
| – | 3 | 3 | |||
| 2 | 3 | 3 | |||
| – | 2 | 3 | 1 | ||
| 2 | 2 | ||||
|
STEP 13: DIVIDE 22 : 33 = 0 with a remainder of 22 |
|||||
| 0 | 1 | 7 | 0 | ||
| 3 | 3 | 5 | 6 | 3 | 2 |
| – | 0 | ||||
| 5 | 6 | ||||
| – | 3 | 3 | |||
| 2 | 3 | 3 | |||
| – | 2 | 3 | 1 | ||
| 2 | 2 | ||||
|
STEP 14: MULTIPLY 0 · 33 = 0 |
|||||
| 0 | 1 | 7 | 0 | ||
| 3 | 3 | 5 | 6 | 3 | 2 |
| – | 0 | ||||
| 5 | 6 | ||||
| – | 3 | 3 | |||
| 2 | 3 | 3 | |||
| – | 2 | 3 | 1 | ||
| 2 | 2 | ||||
| 0 | |||||
|
STEP 15: SUBTRACT 22 - 0 = 22 |
|||||
| 0 | 1 | 7 | 0 | ||
| 3 | 3 | 5 | 6 | 3 | 2 |
| – | 0 | ||||
| 5 | 6 | ||||
| – | 3 | 3 | |||
| 2 | 3 | 3 | |||
| – | 2 | 3 | 1 | ||
| 2 | 2 | ||||
| – | 0 | ||||
| 2 | 2 | ||||
|
STEP 15: SUBTRACT 22 - 0 = 22 |
|||||
| 0 | 1 | 7 | 0 | ||
| 3 | 3 | 5 | 6 | 3 | 2 |
| – | 0 | ||||
| 5 | 6 | ||||
| – | 3 | 3 | |||
| 2 | 3 | 3 | |||
| – | 2 | 3 | 1 | ||
| 2 | 2 | ||||
| – | 0 | ||||
| 2 | 2 | ||||
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