Question
What is the quotient and remainder when $ 359 $ is divided by $ 6385 $ ?
Answer
The quotient is 0 and the remainder is 359.
Explanation
| Division Table | ||||||
| 0 | 0 | 0 | ||||
| 6 | 3 | 8 | 5 | 3 | 5 | 9 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | 9 | ||||
| – | 0 | |||||
| 3 | 5 | 9 | ||||
|
STEP 0: set up a division table |
||||||
| 6 | 3 | 8 | 5 | 3 | 5 | 9 |
|
STEP 1: DIVIDE 3 : 6385 = 0 with a remainder of 3 |
||||||
| 0 | ||||||
| 6 | 3 | 8 | 5 | 3 | 5 | 9 |
|
STEP 2: MULTIPLY 0 · 6385 = 0 |
||||||
| 0 | ||||||
| 6 | 3 | 8 | 5 | 3 | 5 | 9 |
| 0 | ||||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||||||
| 0 | ||||||
| 6 | 3 | 8 | 5 | 3 | 5 | 9 |
| – | 0 | |||||
| 3 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 6 | 3 | 8 | 5 | 3 | 5 | 9 |
| – | 0 | |||||
| 3 | 5 | |||||
|
STEP 5: DIVIDE 35 : 6385 = 0 with a remainder of 35 |
||||||
| 0 | 0 | |||||
| 6 | 3 | 8 | 5 | 3 | 5 | 9 |
| – | 0 | |||||
| 3 | 5 | |||||
|
STEP 6: MULTIPLY 0 · 6385 = 0 |
||||||
| 0 | 0 | |||||
| 6 | 3 | 8 | 5 | 3 | 5 | 9 |
| – | 0 | |||||
| 3 | 5 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 35 - 0 = 35 |
||||||
| 0 | 0 | |||||
| 6 | 3 | 8 | 5 | 3 | 5 | 9 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 6 | 3 | 8 | 5 | 3 | 5 | 9 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | 9 | ||||
|
STEP 9: DIVIDE 359 : 6385 = 0 with a remainder of 359 |
||||||
| 0 | 0 | 0 | ||||
| 6 | 3 | 8 | 5 | 3 | 5 | 9 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | 9 | ||||
|
STEP 10: MULTIPLY 0 · 6385 = 0 |
||||||
| 0 | 0 | 0 | ||||
| 6 | 3 | 8 | 5 | 3 | 5 | 9 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | 9 | ||||
| 0 | ||||||
|
STEP 11: SUBTRACT 359 - 0 = 359 |
||||||
| 0 | 0 | 0 | ||||
| 6 | 3 | 8 | 5 | 3 | 5 | 9 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | 9 | ||||
| – | 0 | |||||
| 3 | 5 | 9 | ||||
|
STEP 11: SUBTRACT 359 - 0 = 359 |
||||||
| 0 | 0 | 0 | ||||
| 6 | 3 | 8 | 5 | 3 | 5 | 9 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | 9 | ||||
| – | 0 | |||||
| 3 | 5 | 9 | ||||
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