Question
What is the quotient and remainder when $ 51215 $ is divided by $ 5 $ ?
Answer
The quotient is 10243 and the remainder is 0.
Explanation
| Division Table | |||||
| 1 | 0 | 2 | 4 | 3 | |
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 2 | ||||
| – | 1 | 0 | |||
| 2 | 1 | ||||
| – | 2 | 0 | |||
| 1 | 5 | ||||
| – | 1 | 5 | |||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 5 | 5 | 1 | 2 | 1 | 5 |
|
STEP 1: DIVIDE 5 : 5 = 1 with a remainder of 0 |
|||||
| 1 | |||||
| 5 | 5 | 1 | 2 | 1 | 5 |
|
STEP 2: MULTIPLY 1 · 5 = 5 |
|||||
| 1 | |||||
| 5 | 5 | 1 | 2 | 1 | 5 |
| 5 | |||||
|
STEP 3: SUBTRACT 5 - 5 = 0 |
|||||
| 1 | |||||
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 0 | |||||
| STEP 4: BRING DOWN | |||||
| 1 | |||||
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
|
STEP 5: DIVIDE 1 : 5 = 0 with a remainder of 1 |
|||||
| 1 | 0 | ||||
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
|
STEP 6: MULTIPLY 0 · 5 = 0 |
|||||
| 1 | 0 | ||||
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
| 0 | |||||
|
STEP 7: SUBTRACT 1 - 0 = 1 |
|||||
| 1 | 0 | ||||
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | |||||
| STEP 8: BRING DOWN | |||||
| 1 | 0 | ||||
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 2 | ||||
|
STEP 9: DIVIDE 12 : 5 = 2 with a remainder of 2 |
|||||
| 1 | 0 | 2 | |||
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 2 | ||||
|
STEP 10: MULTIPLY 2 · 5 = 10 |
|||||
| 1 | 0 | 2 | |||
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 2 | ||||
| 1 | 0 | ||||
|
STEP 11: SUBTRACT 12 - 10 = 2 |
|||||
| 1 | 0 | 2 | |||
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 2 | ||||
| – | 1 | 0 | |||
| 2 | |||||
| STEP 12: BRING DOWN | |||||
| 1 | 0 | 2 | |||
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 2 | ||||
| – | 1 | 0 | |||
| 2 | 1 | ||||
|
STEP 13: DIVIDE 21 : 5 = 4 with a remainder of 1 |
|||||
| 1 | 0 | 2 | 4 | ||
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 2 | ||||
| – | 1 | 0 | |||
| 2 | 1 | ||||
|
STEP 14: MULTIPLY 4 · 5 = 20 |
|||||
| 1 | 0 | 2 | 4 | ||
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 2 | ||||
| – | 1 | 0 | |||
| 2 | 1 | ||||
| 2 | 0 | ||||
|
STEP 15: SUBTRACT 21 - 20 = 1 |
|||||
| 1 | 0 | 2 | 4 | ||
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 2 | ||||
| – | 1 | 0 | |||
| 2 | 1 | ||||
| – | 2 | 0 | |||
| 1 | |||||
| STEP 16: BRING DOWN | |||||
| 1 | 0 | 2 | 4 | ||
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 2 | ||||
| – | 1 | 0 | |||
| 2 | 1 | ||||
| – | 2 | 0 | |||
| 1 | 5 | ||||
|
STEP 17: DIVIDE 15 : 5 = 3 with a remainder of 0 |
|||||
| 1 | 0 | 2 | 4 | 3 | |
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 2 | ||||
| – | 1 | 0 | |||
| 2 | 1 | ||||
| – | 2 | 0 | |||
| 1 | 5 | ||||
|
STEP 18: MULTIPLY 3 · 5 = 15 |
|||||
| 1 | 0 | 2 | 4 | 3 | |
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 2 | ||||
| – | 1 | 0 | |||
| 2 | 1 | ||||
| – | 2 | 0 | |||
| 1 | 5 | ||||
| 1 | 5 | ||||
|
STEP 19: SUBTRACT 15 - 15 = 0 |
|||||
| 1 | 0 | 2 | 4 | 3 | |
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 2 | ||||
| – | 1 | 0 | |||
| 2 | 1 | ||||
| – | 2 | 0 | |||
| 1 | 5 | ||||
| – | 1 | 5 | |||
| 0 | |||||
|
STEP 19: SUBTRACT 15 - 15 = 0 |
|||||
| 1 | 0 | 2 | 4 | 3 | |
| 5 | 5 | 1 | 2 | 1 | 5 |
| – | 5 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 2 | ||||
| – | 1 | 0 | |||
| 2 | 1 | ||||
| – | 2 | 0 | |||
| 1 | 5 | ||||
| – | 1 | 5 | |||
| 0 | |||||
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