Question
What is the quotient and remainder when $ 33030 $ is divided by $ 63 $ ?
Answer
The quotient is 524 and the remainder is 18.
Explanation
| Division Table | ||||||
| 0 | 0 | 5 | 2 | 4 | ||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
| – | 0 | |||||
| 3 | 3 | 0 | ||||
| – | 3 | 1 | 5 | |||
| 1 | 5 | 3 | ||||
| – | 1 | 2 | 6 | |||
| 2 | 7 | 0 | ||||
| – | 2 | 5 | 2 | |||
| 1 | 8 | |||||
|
STEP 0: set up a division table |
||||||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
|
STEP 1: DIVIDE 3 : 63 = 0 with a remainder of 3 |
||||||
| 0 | ||||||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
|
STEP 2: MULTIPLY 0 · 63 = 0 |
||||||
| 0 | ||||||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| 0 | ||||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||||||
| 0 | ||||||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
|
STEP 5: DIVIDE 33 : 63 = 0 with a remainder of 33 |
||||||
| 0 | 0 | |||||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
|
STEP 6: MULTIPLY 0 · 63 = 0 |
||||||
| 0 | 0 | |||||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 33 - 0 = 33 |
||||||
| 0 | 0 | |||||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
| – | 0 | |||||
| 3 | 3 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
| – | 0 | |||||
| 3 | 3 | 0 | ||||
|
STEP 9: DIVIDE 330 : 63 = 5 with a remainder of 15 |
||||||
| 0 | 0 | 5 | ||||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
| – | 0 | |||||
| 3 | 3 | 0 | ||||
|
STEP 10: MULTIPLY 5 · 63 = 315 |
||||||
| 0 | 0 | 5 | ||||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
| – | 0 | |||||
| 3 | 3 | 0 | ||||
| 3 | 1 | 5 | ||||
|
STEP 11: SUBTRACT 330 - 315 = 15 |
||||||
| 0 | 0 | 5 | ||||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
| – | 0 | |||||
| 3 | 3 | 0 | ||||
| – | 3 | 1 | 5 | |||
| 1 | 5 | |||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 5 | ||||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
| – | 0 | |||||
| 3 | 3 | 0 | ||||
| – | 3 | 1 | 5 | |||
| 1 | 5 | 3 | ||||
|
STEP 13: DIVIDE 153 : 63 = 2 with a remainder of 27 |
||||||
| 0 | 0 | 5 | 2 | |||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
| – | 0 | |||||
| 3 | 3 | 0 | ||||
| – | 3 | 1 | 5 | |||
| 1 | 5 | 3 | ||||
|
STEP 14: MULTIPLY 2 · 63 = 126 |
||||||
| 0 | 0 | 5 | 2 | |||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
| – | 0 | |||||
| 3 | 3 | 0 | ||||
| – | 3 | 1 | 5 | |||
| 1 | 5 | 3 | ||||
| 1 | 2 | 6 | ||||
|
STEP 15: SUBTRACT 153 - 126 = 27 |
||||||
| 0 | 0 | 5 | 2 | |||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
| – | 0 | |||||
| 3 | 3 | 0 | ||||
| – | 3 | 1 | 5 | |||
| 1 | 5 | 3 | ||||
| – | 1 | 2 | 6 | |||
| 2 | 7 | |||||
| STEP 16: BRING DOWN | ||||||
| 0 | 0 | 5 | 2 | |||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
| – | 0 | |||||
| 3 | 3 | 0 | ||||
| – | 3 | 1 | 5 | |||
| 1 | 5 | 3 | ||||
| – | 1 | 2 | 6 | |||
| 2 | 7 | 0 | ||||
|
STEP 17: DIVIDE 270 : 63 = 4 with a remainder of 18 |
||||||
| 0 | 0 | 5 | 2 | 4 | ||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
| – | 0 | |||||
| 3 | 3 | 0 | ||||
| – | 3 | 1 | 5 | |||
| 1 | 5 | 3 | ||||
| – | 1 | 2 | 6 | |||
| 2 | 7 | 0 | ||||
|
STEP 18: MULTIPLY 4 · 63 = 252 |
||||||
| 0 | 0 | 5 | 2 | 4 | ||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
| – | 0 | |||||
| 3 | 3 | 0 | ||||
| – | 3 | 1 | 5 | |||
| 1 | 5 | 3 | ||||
| – | 1 | 2 | 6 | |||
| 2 | 7 | 0 | ||||
| 2 | 5 | 2 | ||||
|
STEP 19: SUBTRACT 270 - 252 = 18 |
||||||
| 0 | 0 | 5 | 2 | 4 | ||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
| – | 0 | |||||
| 3 | 3 | 0 | ||||
| – | 3 | 1 | 5 | |||
| 1 | 5 | 3 | ||||
| – | 1 | 2 | 6 | |||
| 2 | 7 | 0 | ||||
| – | 2 | 5 | 2 | |||
| 1 | 8 | |||||
|
STEP 19: SUBTRACT 270 - 252 = 18 |
||||||
| 0 | 0 | 5 | 2 | 4 | ||
| 6 | 3 | 3 | 3 | 0 | 3 | 0 |
| – | 0 | |||||
| 3 | 3 | |||||
| – | 0 | |||||
| 3 | 3 | 0 | ||||
| – | 3 | 1 | 5 | |||
| 1 | 5 | 3 | ||||
| – | 1 | 2 | 6 | |||
| 2 | 7 | 0 | ||||
| – | 2 | 5 | 2 | |||
| 1 | 8 | |||||
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