Question
What is the quotient and remainder when $ 3175 $ is divided by $ 562 $ ?
Answer
The quotient is 5 and the remainder is 365.
Explanation
| Division Table | ||||||
| 0 | 0 | 0 | 5 | |||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
| – | 0 | |||||
| 3 | 1 | |||||
| – | 0 | |||||
| 3 | 1 | 7 | ||||
| – | 0 | |||||
| 3 | 1 | 7 | 5 | |||
| – | 2 | 8 | 1 | 0 | ||
| 3 | 6 | 5 | ||||
|
STEP 0: set up a division table |
||||||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
|
STEP 1: DIVIDE 3 : 562 = 0 with a remainder of 3 |
||||||
| 0 | ||||||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
|
STEP 2: MULTIPLY 0 · 562 = 0 |
||||||
| 0 | ||||||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
| 0 | ||||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||||||
| 0 | ||||||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
| – | 0 | |||||
| 3 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
| – | 0 | |||||
| 3 | 1 | |||||
|
STEP 5: DIVIDE 31 : 562 = 0 with a remainder of 31 |
||||||
| 0 | 0 | |||||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
| – | 0 | |||||
| 3 | 1 | |||||
|
STEP 6: MULTIPLY 0 · 562 = 0 |
||||||
| 0 | 0 | |||||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
| – | 0 | |||||
| 3 | 1 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 31 - 0 = 31 |
||||||
| 0 | 0 | |||||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
| – | 0 | |||||
| 3 | 1 | |||||
| – | 0 | |||||
| 3 | 1 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
| – | 0 | |||||
| 3 | 1 | |||||
| – | 0 | |||||
| 3 | 1 | 7 | ||||
|
STEP 9: DIVIDE 317 : 562 = 0 with a remainder of 317 |
||||||
| 0 | 0 | 0 | ||||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
| – | 0 | |||||
| 3 | 1 | |||||
| – | 0 | |||||
| 3 | 1 | 7 | ||||
|
STEP 10: MULTIPLY 0 · 562 = 0 |
||||||
| 0 | 0 | 0 | ||||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
| – | 0 | |||||
| 3 | 1 | |||||
| – | 0 | |||||
| 3 | 1 | 7 | ||||
| 0 | ||||||
|
STEP 11: SUBTRACT 317 - 0 = 317 |
||||||
| 0 | 0 | 0 | ||||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
| – | 0 | |||||
| 3 | 1 | |||||
| – | 0 | |||||
| 3 | 1 | 7 | ||||
| – | 0 | |||||
| 3 | 1 | 7 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 0 | ||||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
| – | 0 | |||||
| 3 | 1 | |||||
| – | 0 | |||||
| 3 | 1 | 7 | ||||
| – | 0 | |||||
| 3 | 1 | 7 | 5 | |||
|
STEP 13: DIVIDE 3175 : 562 = 5 with a remainder of 365 |
||||||
| 0 | 0 | 0 | 5 | |||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
| – | 0 | |||||
| 3 | 1 | |||||
| – | 0 | |||||
| 3 | 1 | 7 | ||||
| – | 0 | |||||
| 3 | 1 | 7 | 5 | |||
|
STEP 14: MULTIPLY 5 · 562 = 2810 |
||||||
| 0 | 0 | 0 | 5 | |||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
| – | 0 | |||||
| 3 | 1 | |||||
| – | 0 | |||||
| 3 | 1 | 7 | ||||
| – | 0 | |||||
| 3 | 1 | 7 | 5 | |||
| 2 | 8 | 1 | 0 | |||
|
STEP 15: SUBTRACT 3175 - 2810 = 365 |
||||||
| 0 | 0 | 0 | 5 | |||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
| – | 0 | |||||
| 3 | 1 | |||||
| – | 0 | |||||
| 3 | 1 | 7 | ||||
| – | 0 | |||||
| 3 | 1 | 7 | 5 | |||
| – | 2 | 8 | 1 | 0 | ||
| 3 | 6 | 5 | ||||
|
STEP 15: SUBTRACT 3175 - 2810 = 365 |
||||||
| 0 | 0 | 0 | 5 | |||
| 5 | 6 | 2 | 3 | 1 | 7 | 5 |
| – | 0 | |||||
| 3 | 1 | |||||
| – | 0 | |||||
| 3 | 1 | 7 | ||||
| – | 0 | |||||
| 3 | 1 | 7 | 5 | |||
| – | 2 | 8 | 1 | 0 | ||
| 3 | 6 | 5 | ||||
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