Question
What is the quotient and remainder when $ 5616 $ is divided by $ 351 $ ?
Answer
The quotient is 16 and the remainder is 0.
Explanation
| Division Table | ||||||
| 0 | 0 | 1 | 6 | |||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 1 | ||||
| – | 3 | 5 | 1 | |||
| 2 | 1 | 0 | 6 | |||
| – | 2 | 1 | 0 | 6 | ||
| 0 | ||||||
|
STEP 0: set up a division table |
||||||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
|
STEP 1: DIVIDE 5 : 351 = 0 with a remainder of 5 |
||||||
| 0 | ||||||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
|
STEP 2: MULTIPLY 0 · 351 = 0 |
||||||
| 0 | ||||||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
| 0 | ||||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||||||
| 0 | ||||||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
| – | 0 | |||||
| 5 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
| – | 0 | |||||
| 5 | 6 | |||||
|
STEP 5: DIVIDE 56 : 351 = 0 with a remainder of 56 |
||||||
| 0 | 0 | |||||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
| – | 0 | |||||
| 5 | 6 | |||||
|
STEP 6: MULTIPLY 0 · 351 = 0 |
||||||
| 0 | 0 | |||||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
| – | 0 | |||||
| 5 | 6 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 56 - 0 = 56 |
||||||
| 0 | 0 | |||||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 1 | ||||
|
STEP 9: DIVIDE 561 : 351 = 1 with a remainder of 210 |
||||||
| 0 | 0 | 1 | ||||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 1 | ||||
|
STEP 10: MULTIPLY 1 · 351 = 351 |
||||||
| 0 | 0 | 1 | ||||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 1 | ||||
| 3 | 5 | 1 | ||||
|
STEP 11: SUBTRACT 561 - 351 = 210 |
||||||
| 0 | 0 | 1 | ||||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 1 | ||||
| – | 3 | 5 | 1 | |||
| 2 | 1 | 0 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 1 | ||||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 1 | ||||
| – | 3 | 5 | 1 | |||
| 2 | 1 | 0 | 6 | |||
|
STEP 13: DIVIDE 2106 : 351 = 6 with a remainder of 0 |
||||||
| 0 | 0 | 1 | 6 | |||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 1 | ||||
| – | 3 | 5 | 1 | |||
| 2 | 1 | 0 | 6 | |||
|
STEP 14: MULTIPLY 6 · 351 = 2106 |
||||||
| 0 | 0 | 1 | 6 | |||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 1 | ||||
| – | 3 | 5 | 1 | |||
| 2 | 1 | 0 | 6 | |||
| 2 | 1 | 0 | 6 | |||
|
STEP 15: SUBTRACT 2106 - 2106 = 0 |
||||||
| 0 | 0 | 1 | 6 | |||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 1 | ||||
| – | 3 | 5 | 1 | |||
| 2 | 1 | 0 | 6 | |||
| – | 2 | 1 | 0 | 6 | ||
| 0 | ||||||
|
STEP 15: SUBTRACT 2106 - 2106 = 0 |
||||||
| 0 | 0 | 1 | 6 | |||
| 3 | 5 | 1 | 5 | 6 | 1 | 6 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 1 | ||||
| – | 3 | 5 | 1 | |||
| 2 | 1 | 0 | 6 | |||
| – | 2 | 1 | 0 | 6 | ||
| 0 | ||||||
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