Question
What is the quotient and remainder when $ 8675 $ is divided by $ 25 $ ?
Answer
The quotient is 347 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 3 | 4 | 7 | ||
| 2 | 5 | 8 | 6 | 7 | 5 |
| – | 0 | ||||
| 8 | 6 | ||||
| – | 7 | 5 | |||
| 1 | 1 | 7 | |||
| – | 1 | 0 | 0 | ||
| 1 | 7 | 5 | |||
| – | 1 | 7 | 5 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 2 | 5 | 8 | 6 | 7 | 5 |
|
STEP 1: DIVIDE 8 : 25 = 0 with a remainder of 8 |
|||||
| 0 | |||||
| 2 | 5 | 8 | 6 | 7 | 5 |
|
STEP 2: MULTIPLY 0 · 25 = 0 |
|||||
| 0 | |||||
| 2 | 5 | 8 | 6 | 7 | 5 |
| 0 | |||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
|||||
| 0 | |||||
| 2 | 5 | 8 | 6 | 7 | 5 |
| – | 0 | ||||
| 8 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 2 | 5 | 8 | 6 | 7 | 5 |
| – | 0 | ||||
| 8 | 6 | ||||
|
STEP 5: DIVIDE 86 : 25 = 3 with a remainder of 11 |
|||||
| 0 | 3 | ||||
| 2 | 5 | 8 | 6 | 7 | 5 |
| – | 0 | ||||
| 8 | 6 | ||||
|
STEP 6: MULTIPLY 3 · 25 = 75 |
|||||
| 0 | 3 | ||||
| 2 | 5 | 8 | 6 | 7 | 5 |
| – | 0 | ||||
| 8 | 6 | ||||
| 7 | 5 | ||||
|
STEP 7: SUBTRACT 86 - 75 = 11 |
|||||
| 0 | 3 | ||||
| 2 | 5 | 8 | 6 | 7 | 5 |
| – | 0 | ||||
| 8 | 6 | ||||
| – | 7 | 5 | |||
| 1 | 1 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 3 | ||||
| 2 | 5 | 8 | 6 | 7 | 5 |
| – | 0 | ||||
| 8 | 6 | ||||
| – | 7 | 5 | |||
| 1 | 1 | 7 | |||
|
STEP 9: DIVIDE 117 : 25 = 4 with a remainder of 17 |
|||||
| 0 | 3 | 4 | |||
| 2 | 5 | 8 | 6 | 7 | 5 |
| – | 0 | ||||
| 8 | 6 | ||||
| – | 7 | 5 | |||
| 1 | 1 | 7 | |||
|
STEP 10: MULTIPLY 4 · 25 = 100 |
|||||
| 0 | 3 | 4 | |||
| 2 | 5 | 8 | 6 | 7 | 5 |
| – | 0 | ||||
| 8 | 6 | ||||
| – | 7 | 5 | |||
| 1 | 1 | 7 | |||
| 1 | 0 | 0 | |||
|
STEP 11: SUBTRACT 117 - 100 = 17 |
|||||
| 0 | 3 | 4 | |||
| 2 | 5 | 8 | 6 | 7 | 5 |
| – | 0 | ||||
| 8 | 6 | ||||
| – | 7 | 5 | |||
| 1 | 1 | 7 | |||
| – | 1 | 0 | 0 | ||
| 1 | 7 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 3 | 4 | |||
| 2 | 5 | 8 | 6 | 7 | 5 |
| – | 0 | ||||
| 8 | 6 | ||||
| – | 7 | 5 | |||
| 1 | 1 | 7 | |||
| – | 1 | 0 | 0 | ||
| 1 | 7 | 5 | |||
|
STEP 13: DIVIDE 175 : 25 = 7 with a remainder of 0 |
|||||
| 0 | 3 | 4 | 7 | ||
| 2 | 5 | 8 | 6 | 7 | 5 |
| – | 0 | ||||
| 8 | 6 | ||||
| – | 7 | 5 | |||
| 1 | 1 | 7 | |||
| – | 1 | 0 | 0 | ||
| 1 | 7 | 5 | |||
|
STEP 14: MULTIPLY 7 · 25 = 175 |
|||||
| 0 | 3 | 4 | 7 | ||
| 2 | 5 | 8 | 6 | 7 | 5 |
| – | 0 | ||||
| 8 | 6 | ||||
| – | 7 | 5 | |||
| 1 | 1 | 7 | |||
| – | 1 | 0 | 0 | ||
| 1 | 7 | 5 | |||
| 1 | 7 | 5 | |||
|
STEP 15: SUBTRACT 175 - 175 = 0 |
|||||
| 0 | 3 | 4 | 7 | ||
| 2 | 5 | 8 | 6 | 7 | 5 |
| – | 0 | ||||
| 8 | 6 | ||||
| – | 7 | 5 | |||
| 1 | 1 | 7 | |||
| – | 1 | 0 | 0 | ||
| 1 | 7 | 5 | |||
| – | 1 | 7 | 5 | ||
| 0 | |||||
|
STEP 15: SUBTRACT 175 - 175 = 0 |
|||||
| 0 | 3 | 4 | 7 | ||
| 2 | 5 | 8 | 6 | 7 | 5 |
| – | 0 | ||||
| 8 | 6 | ||||
| – | 7 | 5 | |||
| 1 | 1 | 7 | |||
| – | 1 | 0 | 0 | ||
| 1 | 7 | 5 | |||
| – | 1 | 7 | 5 | ||
| 0 | |||||
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