Question
What is the quotient and remainder when $ 25931 $ is divided by $ 5 $ ?
Answer
The quotient is 5186 and the remainder is 1.
Explanation
| Division Table | |||||
| 0 | 5 | 1 | 8 | 6 | |
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
| – | 2 | 5 | |||
| 9 | |||||
| – | 5 | ||||
| 4 | 3 | ||||
| – | 4 | 0 | |||
| 3 | 1 | ||||
| – | 3 | 0 | |||
| 1 | |||||
|
STEP 0: set up a division table |
|||||
| 5 | 2 | 5 | 9 | 3 | 1 |
|
STEP 1: DIVIDE 2 : 5 = 0 with a remainder of 2 |
|||||
| 0 | |||||
| 5 | 2 | 5 | 9 | 3 | 1 |
|
STEP 2: MULTIPLY 0 · 5 = 0 |
|||||
| 0 | |||||
| 5 | 2 | 5 | 9 | 3 | 1 |
| 0 | |||||
|
STEP 3: SUBTRACT 2 - 0 = 2 |
|||||
| 0 | |||||
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
|
STEP 5: DIVIDE 25 : 5 = 5 with a remainder of 0 |
|||||
| 0 | 5 | ||||
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
|
STEP 6: MULTIPLY 5 · 5 = 25 |
|||||
| 0 | 5 | ||||
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
| 2 | 5 | ||||
|
STEP 7: SUBTRACT 25 - 25 = 0 |
|||||
| 0 | 5 | ||||
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
| – | 2 | 5 | |||
| 0 | |||||
| STEP 8: BRING DOWN | |||||
| 0 | 5 | ||||
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
| – | 2 | 5 | |||
| 9 | |||||
|
STEP 9: DIVIDE 9 : 5 = 1 with a remainder of 4 |
|||||
| 0 | 5 | 1 | |||
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
| – | 2 | 5 | |||
| 9 | |||||
|
STEP 10: MULTIPLY 1 · 5 = 5 |
|||||
| 0 | 5 | 1 | |||
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
| – | 2 | 5 | |||
| 9 | |||||
| 5 | |||||
|
STEP 11: SUBTRACT 9 - 5 = 4 |
|||||
| 0 | 5 | 1 | |||
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
| – | 2 | 5 | |||
| 9 | |||||
| – | 5 | ||||
| 4 | |||||
| STEP 12: BRING DOWN | |||||
| 0 | 5 | 1 | |||
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
| – | 2 | 5 | |||
| 9 | |||||
| – | 5 | ||||
| 4 | 3 | ||||
|
STEP 13: DIVIDE 43 : 5 = 8 with a remainder of 3 |
|||||
| 0 | 5 | 1 | 8 | ||
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
| – | 2 | 5 | |||
| 9 | |||||
| – | 5 | ||||
| 4 | 3 | ||||
|
STEP 14: MULTIPLY 8 · 5 = 40 |
|||||
| 0 | 5 | 1 | 8 | ||
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
| – | 2 | 5 | |||
| 9 | |||||
| – | 5 | ||||
| 4 | 3 | ||||
| 4 | 0 | ||||
|
STEP 15: SUBTRACT 43 - 40 = 3 |
|||||
| 0 | 5 | 1 | 8 | ||
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
| – | 2 | 5 | |||
| 9 | |||||
| – | 5 | ||||
| 4 | 3 | ||||
| – | 4 | 0 | |||
| 3 | |||||
| STEP 16: BRING DOWN | |||||
| 0 | 5 | 1 | 8 | ||
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
| – | 2 | 5 | |||
| 9 | |||||
| – | 5 | ||||
| 4 | 3 | ||||
| – | 4 | 0 | |||
| 3 | 1 | ||||
|
STEP 17: DIVIDE 31 : 5 = 6 with a remainder of 1 |
|||||
| 0 | 5 | 1 | 8 | 6 | |
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
| – | 2 | 5 | |||
| 9 | |||||
| – | 5 | ||||
| 4 | 3 | ||||
| – | 4 | 0 | |||
| 3 | 1 | ||||
|
STEP 18: MULTIPLY 6 · 5 = 30 |
|||||
| 0 | 5 | 1 | 8 | 6 | |
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
| – | 2 | 5 | |||
| 9 | |||||
| – | 5 | ||||
| 4 | 3 | ||||
| – | 4 | 0 | |||
| 3 | 1 | ||||
| 3 | 0 | ||||
|
STEP 19: SUBTRACT 31 - 30 = 1 |
|||||
| 0 | 5 | 1 | 8 | 6 | |
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
| – | 2 | 5 | |||
| 9 | |||||
| – | 5 | ||||
| 4 | 3 | ||||
| – | 4 | 0 | |||
| 3 | 1 | ||||
| – | 3 | 0 | |||
| 1 | |||||
|
STEP 19: SUBTRACT 31 - 30 = 1 |
|||||
| 0 | 5 | 1 | 8 | 6 | |
| 5 | 2 | 5 | 9 | 3 | 1 |
| – | 0 | ||||
| 2 | 5 | ||||
| – | 2 | 5 | |||
| 9 | |||||
| – | 5 | ||||
| 4 | 3 | ||||
| – | 4 | 0 | |||
| 3 | 1 | ||||
| – | 3 | 0 | |||
| 1 | |||||
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