Question
What is the quotient and remainder when $ 654 $ is divided by $ 5345 $ ?
Answer
The quotient is 0 and the remainder is 654.
Explanation
| Division Table | ||||||
| 0 | 0 | 0 | ||||
| 5 | 3 | 4 | 5 | 6 | 5 | 4 |
| – | 0 | |||||
| 6 | 5 | |||||
| – | 0 | |||||
| 6 | 5 | 4 | ||||
| – | 0 | |||||
| 6 | 5 | 4 | ||||
|
STEP 0: set up a division table |
||||||
| 5 | 3 | 4 | 5 | 6 | 5 | 4 |
|
STEP 1: DIVIDE 6 : 5345 = 0 with a remainder of 6 |
||||||
| 0 | ||||||
| 5 | 3 | 4 | 5 | 6 | 5 | 4 |
|
STEP 2: MULTIPLY 0 · 5345 = 0 |
||||||
| 0 | ||||||
| 5 | 3 | 4 | 5 | 6 | 5 | 4 |
| 0 | ||||||
|
STEP 3: SUBTRACT 6 - 0 = 6 |
||||||
| 0 | ||||||
| 5 | 3 | 4 | 5 | 6 | 5 | 4 |
| – | 0 | |||||
| 6 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 5 | 3 | 4 | 5 | 6 | 5 | 4 |
| – | 0 | |||||
| 6 | 5 | |||||
|
STEP 5: DIVIDE 65 : 5345 = 0 with a remainder of 65 |
||||||
| 0 | 0 | |||||
| 5 | 3 | 4 | 5 | 6 | 5 | 4 |
| – | 0 | |||||
| 6 | 5 | |||||
|
STEP 6: MULTIPLY 0 · 5345 = 0 |
||||||
| 0 | 0 | |||||
| 5 | 3 | 4 | 5 | 6 | 5 | 4 |
| – | 0 | |||||
| 6 | 5 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 65 - 0 = 65 |
||||||
| 0 | 0 | |||||
| 5 | 3 | 4 | 5 | 6 | 5 | 4 |
| – | 0 | |||||
| 6 | 5 | |||||
| – | 0 | |||||
| 6 | 5 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 5 | 3 | 4 | 5 | 6 | 5 | 4 |
| – | 0 | |||||
| 6 | 5 | |||||
| – | 0 | |||||
| 6 | 5 | 4 | ||||
|
STEP 9: DIVIDE 654 : 5345 = 0 with a remainder of 654 |
||||||
| 0 | 0 | 0 | ||||
| 5 | 3 | 4 | 5 | 6 | 5 | 4 |
| – | 0 | |||||
| 6 | 5 | |||||
| – | 0 | |||||
| 6 | 5 | 4 | ||||
|
STEP 10: MULTIPLY 0 · 5345 = 0 |
||||||
| 0 | 0 | 0 | ||||
| 5 | 3 | 4 | 5 | 6 | 5 | 4 |
| – | 0 | |||||
| 6 | 5 | |||||
| – | 0 | |||||
| 6 | 5 | 4 | ||||
| 0 | ||||||
|
STEP 11: SUBTRACT 654 - 0 = 654 |
||||||
| 0 | 0 | 0 | ||||
| 5 | 3 | 4 | 5 | 6 | 5 | 4 |
| – | 0 | |||||
| 6 | 5 | |||||
| – | 0 | |||||
| 6 | 5 | 4 | ||||
| – | 0 | |||||
| 6 | 5 | 4 | ||||
|
STEP 11: SUBTRACT 654 - 0 = 654 |
||||||
| 0 | 0 | 0 | ||||
| 5 | 3 | 4 | 5 | 6 | 5 | 4 |
| – | 0 | |||||
| 6 | 5 | |||||
| – | 0 | |||||
| 6 | 5 | 4 | ||||
| – | 0 | |||||
| 6 | 5 | 4 | ||||
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