Question
What is the quotient and remainder when $ 1540 $ is divided by $ 14 $ ?
Answer
The quotient is 110 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 1 | 1 | 0 | ||
| 1 | 4 | 1 | 5 | 4 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 4 | |||
| 1 | 4 | ||||
| – | 1 | 4 | |||
| 0 | |||||
| – | 0 | ||||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 1 | 4 | 1 | 5 | 4 | 0 |
|
STEP 1: DIVIDE 1 : 14 = 0 with a remainder of 1 |
|||||
| 0 | |||||
| 1 | 4 | 1 | 5 | 4 | 0 |
|
STEP 2: MULTIPLY 0 · 14 = 0 |
|||||
| 0 | |||||
| 1 | 4 | 1 | 5 | 4 | 0 |
| 0 | |||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||||
| 0 | |||||
| 1 | 4 | 1 | 5 | 4 | 0 |
| – | 0 | ||||
| 1 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 1 | 4 | 1 | 5 | 4 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
|
STEP 5: DIVIDE 15 : 14 = 1 with a remainder of 1 |
|||||
| 0 | 1 | ||||
| 1 | 4 | 1 | 5 | 4 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
|
STEP 6: MULTIPLY 1 · 14 = 14 |
|||||
| 0 | 1 | ||||
| 1 | 4 | 1 | 5 | 4 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| 1 | 4 | ||||
|
STEP 7: SUBTRACT 15 - 14 = 1 |
|||||
| 0 | 1 | ||||
| 1 | 4 | 1 | 5 | 4 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 4 | |||
| 1 | |||||
| STEP 8: BRING DOWN | |||||
| 0 | 1 | ||||
| 1 | 4 | 1 | 5 | 4 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 4 | |||
| 1 | 4 | ||||
|
STEP 9: DIVIDE 14 : 14 = 1 with a remainder of 0 |
|||||
| 0 | 1 | 1 | |||
| 1 | 4 | 1 | 5 | 4 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 4 | |||
| 1 | 4 | ||||
|
STEP 10: MULTIPLY 1 · 14 = 14 |
|||||
| 0 | 1 | 1 | |||
| 1 | 4 | 1 | 5 | 4 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 4 | |||
| 1 | 4 | ||||
| 1 | 4 | ||||
|
STEP 11: SUBTRACT 14 - 14 = 0 |
|||||
| 0 | 1 | 1 | |||
| 1 | 4 | 1 | 5 | 4 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 4 | |||
| 1 | 4 | ||||
| – | 1 | 4 | |||
| 0 | |||||
| STEP 12: BRING DOWN | |||||
| 0 | 1 | 1 | |||
| 1 | 4 | 1 | 5 | 4 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 4 | |||
| 1 | 4 | ||||
| – | 1 | 4 | |||
| 0 | |||||
|
STEP 13: DIVIDE 0 : 14 = 0 with a remainder of 0 |
|||||
| 0 | 1 | 1 | 0 | ||
| 1 | 4 | 1 | 5 | 4 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 4 | |||
| 1 | 4 | ||||
| – | 1 | 4 | |||
| 0 | |||||
|
STEP 14: MULTIPLY 0 · 14 = 0 |
|||||
| 0 | 1 | 1 | 0 | ||
| 1 | 4 | 1 | 5 | 4 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 4 | |||
| 1 | 4 | ||||
| – | 1 | 4 | |||
| 0 | |||||
| 0 | |||||
|
STEP 15: SUBTRACT 0 - 0 = 0 |
|||||
| 0 | 1 | 1 | 0 | ||
| 1 | 4 | 1 | 5 | 4 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 4 | |||
| 1 | 4 | ||||
| – | 1 | 4 | |||
| 0 | |||||
| – | 0 | ||||
| 0 | |||||
|
STEP 15: SUBTRACT 0 - 0 = 0 |
|||||
| 0 | 1 | 1 | 0 | ||
| 1 | 4 | 1 | 5 | 4 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 4 | |||
| 1 | 4 | ||||
| – | 1 | 4 | |||
| 0 | |||||
| – | 0 | ||||
| 0 | |||||
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