Question
What is the quotient and remainder when $ 840 $ is divided by $ 14 $ ?
Answer
The quotient is 60 and the remainder is 0.
Explanation
| Division Table | ||||
| 0 | 6 | 0 | ||
| 1 | 4 | 8 | 4 | 0 |
| – | 0 | |||
| 8 | 4 | |||
| – | 8 | 4 | ||
| 0 | ||||
| – | 0 | |||
| 0 | ||||
|
STEP 0: set up a division table |
||||
| 1 | 4 | 8 | 4 | 0 |
|
STEP 1: DIVIDE 8 : 14 = 0 with a remainder of 8 |
||||
| 0 | ||||
| 1 | 4 | 8 | 4 | 0 |
|
STEP 2: MULTIPLY 0 · 14 = 0 |
||||
| 0 | ||||
| 1 | 4 | 8 | 4 | 0 |
| 0 | ||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
||||
| 0 | ||||
| 1 | 4 | 8 | 4 | 0 |
| – | 0 | |||
| 8 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 4 | 8 | 4 | 0 |
| – | 0 | |||
| 8 | 4 | |||
|
STEP 5: DIVIDE 84 : 14 = 6 with a remainder of 0 |
||||
| 0 | 6 | |||
| 1 | 4 | 8 | 4 | 0 |
| – | 0 | |||
| 8 | 4 | |||
|
STEP 6: MULTIPLY 6 · 14 = 84 |
||||
| 0 | 6 | |||
| 1 | 4 | 8 | 4 | 0 |
| – | 0 | |||
| 8 | 4 | |||
| 8 | 4 | |||
|
STEP 7: SUBTRACT 84 - 84 = 0 |
||||
| 0 | 6 | |||
| 1 | 4 | 8 | 4 | 0 |
| – | 0 | |||
| 8 | 4 | |||
| – | 8 | 4 | ||
| 0 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 6 | |||
| 1 | 4 | 8 | 4 | 0 |
| – | 0 | |||
| 8 | 4 | |||
| – | 8 | 4 | ||
| 0 | ||||
|
STEP 9: DIVIDE 0 : 14 = 0 with a remainder of 0 |
||||
| 0 | 6 | 0 | ||
| 1 | 4 | 8 | 4 | 0 |
| – | 0 | |||
| 8 | 4 | |||
| – | 8 | 4 | ||
| 0 | ||||
|
STEP 10: MULTIPLY 0 · 14 = 0 |
||||
| 0 | 6 | 0 | ||
| 1 | 4 | 8 | 4 | 0 |
| – | 0 | |||
| 8 | 4 | |||
| – | 8 | 4 | ||
| 0 | ||||
| 0 | ||||
|
STEP 11: SUBTRACT 0 - 0 = 0 |
||||
| 0 | 6 | 0 | ||
| 1 | 4 | 8 | 4 | 0 |
| – | 0 | |||
| 8 | 4 | |||
| – | 8 | 4 | ||
| 0 | ||||
| – | 0 | |||
| 0 | ||||
|
STEP 11: SUBTRACT 0 - 0 = 0 |
||||
| 0 | 6 | 0 | ||
| 1 | 4 | 8 | 4 | 0 |
| – | 0 | |||
| 8 | 4 | |||
| – | 8 | 4 | ||
| 0 | ||||
| – | 0 | |||
| 0 | ||||
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