Question
What is the quotient and remainder when $ 31430 $ is divided by $ 7 $ ?
Answer
The quotient is 4490 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 4 | 4 | 9 | 0 | |
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
| – | 2 | 8 | |||
| 3 | 4 | ||||
| – | 2 | 8 | |||
| 6 | 3 | ||||
| – | 6 | 3 | |||
| 0 | |||||
| – | 0 | ||||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 7 | 3 | 1 | 4 | 3 | 0 |
|
STEP 1: DIVIDE 3 : 7 = 0 with a remainder of 3 |
|||||
| 0 | |||||
| 7 | 3 | 1 | 4 | 3 | 0 |
|
STEP 2: MULTIPLY 0 · 7 = 0 |
|||||
| 0 | |||||
| 7 | 3 | 1 | 4 | 3 | 0 |
| 0 | |||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
|||||
| 0 | |||||
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
|
STEP 5: DIVIDE 31 : 7 = 4 with a remainder of 3 |
|||||
| 0 | 4 | ||||
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
|
STEP 6: MULTIPLY 4 · 7 = 28 |
|||||
| 0 | 4 | ||||
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
| 2 | 8 | ||||
|
STEP 7: SUBTRACT 31 - 28 = 3 |
|||||
| 0 | 4 | ||||
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
| – | 2 | 8 | |||
| 3 | |||||
| STEP 8: BRING DOWN | |||||
| 0 | 4 | ||||
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
| – | 2 | 8 | |||
| 3 | 4 | ||||
|
STEP 9: DIVIDE 34 : 7 = 4 with a remainder of 6 |
|||||
| 0 | 4 | 4 | |||
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
| – | 2 | 8 | |||
| 3 | 4 | ||||
|
STEP 10: MULTIPLY 4 · 7 = 28 |
|||||
| 0 | 4 | 4 | |||
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
| – | 2 | 8 | |||
| 3 | 4 | ||||
| 2 | 8 | ||||
|
STEP 11: SUBTRACT 34 - 28 = 6 |
|||||
| 0 | 4 | 4 | |||
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
| – | 2 | 8 | |||
| 3 | 4 | ||||
| – | 2 | 8 | |||
| 6 | |||||
| STEP 12: BRING DOWN | |||||
| 0 | 4 | 4 | |||
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
| – | 2 | 8 | |||
| 3 | 4 | ||||
| – | 2 | 8 | |||
| 6 | 3 | ||||
|
STEP 13: DIVIDE 63 : 7 = 9 with a remainder of 0 |
|||||
| 0 | 4 | 4 | 9 | ||
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
| – | 2 | 8 | |||
| 3 | 4 | ||||
| – | 2 | 8 | |||
| 6 | 3 | ||||
|
STEP 14: MULTIPLY 9 · 7 = 63 |
|||||
| 0 | 4 | 4 | 9 | ||
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
| – | 2 | 8 | |||
| 3 | 4 | ||||
| – | 2 | 8 | |||
| 6 | 3 | ||||
| 6 | 3 | ||||
|
STEP 15: SUBTRACT 63 - 63 = 0 |
|||||
| 0 | 4 | 4 | 9 | ||
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
| – | 2 | 8 | |||
| 3 | 4 | ||||
| – | 2 | 8 | |||
| 6 | 3 | ||||
| – | 6 | 3 | |||
| 0 | |||||
| STEP 16: BRING DOWN | |||||
| 0 | 4 | 4 | 9 | ||
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
| – | 2 | 8 | |||
| 3 | 4 | ||||
| – | 2 | 8 | |||
| 6 | 3 | ||||
| – | 6 | 3 | |||
| 0 | |||||
|
STEP 17: DIVIDE 0 : 7 = 0 with a remainder of 0 |
|||||
| 0 | 4 | 4 | 9 | 0 | |
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
| – | 2 | 8 | |||
| 3 | 4 | ||||
| – | 2 | 8 | |||
| 6 | 3 | ||||
| – | 6 | 3 | |||
| 0 | |||||
|
STEP 18: MULTIPLY 0 · 7 = 0 |
|||||
| 0 | 4 | 4 | 9 | 0 | |
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
| – | 2 | 8 | |||
| 3 | 4 | ||||
| – | 2 | 8 | |||
| 6 | 3 | ||||
| – | 6 | 3 | |||
| 0 | |||||
| 0 | |||||
|
STEP 19: SUBTRACT 0 - 0 = 0 |
|||||
| 0 | 4 | 4 | 9 | 0 | |
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
| – | 2 | 8 | |||
| 3 | 4 | ||||
| – | 2 | 8 | |||
| 6 | 3 | ||||
| – | 6 | 3 | |||
| 0 | |||||
| – | 0 | ||||
| 0 | |||||
|
STEP 19: SUBTRACT 0 - 0 = 0 |
|||||
| 0 | 4 | 4 | 9 | 0 | |
| 7 | 3 | 1 | 4 | 3 | 0 |
| – | 0 | ||||
| 3 | 1 | ||||
| – | 2 | 8 | |||
| 3 | 4 | ||||
| – | 2 | 8 | |||
| 6 | 3 | ||||
| – | 6 | 3 | |||
| 0 | |||||
| – | 0 | ||||
| 0 | |||||
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