Question
What is the quotient and remainder when $ 4270 $ is divided by $ 854 $ ?
Answer
The quotient is 5 and the remainder is 0.
Explanation
| Division Table | ||||||
| 0 | 0 | 0 | 5 | |||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
| – | 0 | |||||
| 4 | 2 | |||||
| – | 0 | |||||
| 4 | 2 | 7 | ||||
| – | 0 | |||||
| 4 | 2 | 7 | 0 | |||
| – | 4 | 2 | 7 | 0 | ||
| 0 | ||||||
|
STEP 0: set up a division table |
||||||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
|
STEP 1: DIVIDE 4 : 854 = 0 with a remainder of 4 |
||||||
| 0 | ||||||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
|
STEP 2: MULTIPLY 0 · 854 = 0 |
||||||
| 0 | ||||||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
| 0 | ||||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
||||||
| 0 | ||||||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
| – | 0 | |||||
| 4 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
| – | 0 | |||||
| 4 | 2 | |||||
|
STEP 5: DIVIDE 42 : 854 = 0 with a remainder of 42 |
||||||
| 0 | 0 | |||||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
| – | 0 | |||||
| 4 | 2 | |||||
|
STEP 6: MULTIPLY 0 · 854 = 0 |
||||||
| 0 | 0 | |||||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
| – | 0 | |||||
| 4 | 2 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 42 - 0 = 42 |
||||||
| 0 | 0 | |||||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
| – | 0 | |||||
| 4 | 2 | |||||
| – | 0 | |||||
| 4 | 2 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
| – | 0 | |||||
| 4 | 2 | |||||
| – | 0 | |||||
| 4 | 2 | 7 | ||||
|
STEP 9: DIVIDE 427 : 854 = 0 with a remainder of 427 |
||||||
| 0 | 0 | 0 | ||||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
| – | 0 | |||||
| 4 | 2 | |||||
| – | 0 | |||||
| 4 | 2 | 7 | ||||
|
STEP 10: MULTIPLY 0 · 854 = 0 |
||||||
| 0 | 0 | 0 | ||||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
| – | 0 | |||||
| 4 | 2 | |||||
| – | 0 | |||||
| 4 | 2 | 7 | ||||
| 0 | ||||||
|
STEP 11: SUBTRACT 427 - 0 = 427 |
||||||
| 0 | 0 | 0 | ||||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
| – | 0 | |||||
| 4 | 2 | |||||
| – | 0 | |||||
| 4 | 2 | 7 | ||||
| – | 0 | |||||
| 4 | 2 | 7 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 0 | ||||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
| – | 0 | |||||
| 4 | 2 | |||||
| – | 0 | |||||
| 4 | 2 | 7 | ||||
| – | 0 | |||||
| 4 | 2 | 7 | 0 | |||
|
STEP 13: DIVIDE 4270 : 854 = 5 with a remainder of 0 |
||||||
| 0 | 0 | 0 | 5 | |||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
| – | 0 | |||||
| 4 | 2 | |||||
| – | 0 | |||||
| 4 | 2 | 7 | ||||
| – | 0 | |||||
| 4 | 2 | 7 | 0 | |||
|
STEP 14: MULTIPLY 5 · 854 = 4270 |
||||||
| 0 | 0 | 0 | 5 | |||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
| – | 0 | |||||
| 4 | 2 | |||||
| – | 0 | |||||
| 4 | 2 | 7 | ||||
| – | 0 | |||||
| 4 | 2 | 7 | 0 | |||
| 4 | 2 | 7 | 0 | |||
|
STEP 15: SUBTRACT 4270 - 4270 = 0 |
||||||
| 0 | 0 | 0 | 5 | |||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
| – | 0 | |||||
| 4 | 2 | |||||
| – | 0 | |||||
| 4 | 2 | 7 | ||||
| – | 0 | |||||
| 4 | 2 | 7 | 0 | |||
| – | 4 | 2 | 7 | 0 | ||
| 0 | ||||||
|
STEP 15: SUBTRACT 4270 - 4270 = 0 |
||||||
| 0 | 0 | 0 | 5 | |||
| 8 | 5 | 4 | 4 | 2 | 7 | 0 |
| – | 0 | |||||
| 4 | 2 | |||||
| – | 0 | |||||
| 4 | 2 | 7 | ||||
| – | 0 | |||||
| 4 | 2 | 7 | 0 | |||
| – | 4 | 2 | 7 | 0 | ||
| 0 | ||||||
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