Question
What is the quotient and remainder when $ 8456 $ is divided by $ 604 $ ?
Answer
The quotient is 14 and the remainder is 0.
Explanation
| Division Table | ||||||
| 0 | 0 | 1 | 4 | |||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
| – | 6 | 0 | 4 | |||
| 2 | 4 | 1 | 6 | |||
| – | 2 | 4 | 1 | 6 | ||
| 0 | ||||||
|
STEP 0: set up a division table |
||||||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
|
STEP 1: DIVIDE 8 : 604 = 0 with a remainder of 8 |
||||||
| 0 | ||||||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
|
STEP 2: MULTIPLY 0 · 604 = 0 |
||||||
| 0 | ||||||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
| 0 | ||||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
||||||
| 0 | ||||||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
|
STEP 5: DIVIDE 84 : 604 = 0 with a remainder of 84 |
||||||
| 0 | 0 | |||||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
|
STEP 6: MULTIPLY 0 · 604 = 0 |
||||||
| 0 | 0 | |||||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 84 - 0 = 84 |
||||||
| 0 | 0 | |||||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
|
STEP 9: DIVIDE 845 : 604 = 1 with a remainder of 241 |
||||||
| 0 | 0 | 1 | ||||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
|
STEP 10: MULTIPLY 1 · 604 = 604 |
||||||
| 0 | 0 | 1 | ||||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
| 6 | 0 | 4 | ||||
|
STEP 11: SUBTRACT 845 - 604 = 241 |
||||||
| 0 | 0 | 1 | ||||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
| – | 6 | 0 | 4 | |||
| 2 | 4 | 1 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 1 | ||||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
| – | 6 | 0 | 4 | |||
| 2 | 4 | 1 | 6 | |||
|
STEP 13: DIVIDE 2416 : 604 = 4 with a remainder of 0 |
||||||
| 0 | 0 | 1 | 4 | |||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
| – | 6 | 0 | 4 | |||
| 2 | 4 | 1 | 6 | |||
|
STEP 14: MULTIPLY 4 · 604 = 2416 |
||||||
| 0 | 0 | 1 | 4 | |||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
| – | 6 | 0 | 4 | |||
| 2 | 4 | 1 | 6 | |||
| 2 | 4 | 1 | 6 | |||
|
STEP 15: SUBTRACT 2416 - 2416 = 0 |
||||||
| 0 | 0 | 1 | 4 | |||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
| – | 6 | 0 | 4 | |||
| 2 | 4 | 1 | 6 | |||
| – | 2 | 4 | 1 | 6 | ||
| 0 | ||||||
|
STEP 15: SUBTRACT 2416 - 2416 = 0 |
||||||
| 0 | 0 | 1 | 4 | |||
| 6 | 0 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
| – | 6 | 0 | 4 | |||
| 2 | 4 | 1 | 6 | |||
| – | 2 | 4 | 1 | 6 | ||
| 0 | ||||||
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