Question
What is the quotient and remainder when $ 30342 $ is divided by $ 5 $ ?
Answer
The quotient is 6068 and the remainder is 2.
Explanation
| Division Table | |||||
| 0 | 6 | 0 | 6 | 8 | |
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | 4 | ||||
| – | 3 | 0 | |||
| 4 | 2 | ||||
| – | 4 | 0 | |||
| 2 | |||||
|
STEP 0: set up a division table |
|||||
| 5 | 3 | 0 | 3 | 4 | 2 |
|
STEP 1: DIVIDE 3 : 5 = 0 with a remainder of 3 |
|||||
| 0 | |||||
| 5 | 3 | 0 | 3 | 4 | 2 |
|
STEP 2: MULTIPLY 0 · 5 = 0 |
|||||
| 0 | |||||
| 5 | 3 | 0 | 3 | 4 | 2 |
| 0 | |||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
|||||
| 0 | |||||
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
|
STEP 5: DIVIDE 30 : 5 = 6 with a remainder of 0 |
|||||
| 0 | 6 | ||||
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
|
STEP 6: MULTIPLY 6 · 5 = 30 |
|||||
| 0 | 6 | ||||
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
| 3 | 0 | ||||
|
STEP 7: SUBTRACT 30 - 30 = 0 |
|||||
| 0 | 6 | ||||
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 0 | |||||
| STEP 8: BRING DOWN | |||||
| 0 | 6 | ||||
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 3 | |||||
|
STEP 9: DIVIDE 3 : 5 = 0 with a remainder of 3 |
|||||
| 0 | 6 | 0 | |||
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 3 | |||||
|
STEP 10: MULTIPLY 0 · 5 = 0 |
|||||
| 0 | 6 | 0 | |||
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 3 | |||||
| 0 | |||||
|
STEP 11: SUBTRACT 3 - 0 = 3 |
|||||
| 0 | 6 | 0 | |||
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | |||||
| STEP 12: BRING DOWN | |||||
| 0 | 6 | 0 | |||
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | 4 | ||||
|
STEP 13: DIVIDE 34 : 5 = 6 with a remainder of 4 |
|||||
| 0 | 6 | 0 | 6 | ||
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | 4 | ||||
|
STEP 14: MULTIPLY 6 · 5 = 30 |
|||||
| 0 | 6 | 0 | 6 | ||
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | 4 | ||||
| 3 | 0 | ||||
|
STEP 15: SUBTRACT 34 - 30 = 4 |
|||||
| 0 | 6 | 0 | 6 | ||
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | 4 | ||||
| – | 3 | 0 | |||
| 4 | |||||
| STEP 16: BRING DOWN | |||||
| 0 | 6 | 0 | 6 | ||
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | 4 | ||||
| – | 3 | 0 | |||
| 4 | 2 | ||||
|
STEP 17: DIVIDE 42 : 5 = 8 with a remainder of 2 |
|||||
| 0 | 6 | 0 | 6 | 8 | |
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | 4 | ||||
| – | 3 | 0 | |||
| 4 | 2 | ||||
|
STEP 18: MULTIPLY 8 · 5 = 40 |
|||||
| 0 | 6 | 0 | 6 | 8 | |
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | 4 | ||||
| – | 3 | 0 | |||
| 4 | 2 | ||||
| 4 | 0 | ||||
|
STEP 19: SUBTRACT 42 - 40 = 2 |
|||||
| 0 | 6 | 0 | 6 | 8 | |
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | 4 | ||||
| – | 3 | 0 | |||
| 4 | 2 | ||||
| – | 4 | 0 | |||
| 2 | |||||
|
STEP 19: SUBTRACT 42 - 40 = 2 |
|||||
| 0 | 6 | 0 | 6 | 8 | |
| 5 | 3 | 0 | 3 | 4 | 2 |
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | 4 | ||||
| – | 3 | 0 | |||
| 4 | 2 | ||||
| – | 4 | 0 | |||
| 2 | |||||
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