What is the quotient and remainder when $ 14 $ is divided by $ 1624 $ ?
Answer
The quotient is 0 and the remainder is 14.
Explanation
| Division Table | |||||
| 0 | 0 | ||||
| 1 | 6 | 2 | 4 | 1 | 4 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | ||||
|
STEP 0: set up a division table |
|||||
| 1 | 6 | 2 | 4 | 1 | 4 |
|
STEP 1: DIVIDE 1 : 1624 = 0 with a remainder of 1 |
|||||
| 0 | |||||
| 1 | 6 | 2 | 4 | 1 | 4 |
|
STEP 2: MULTIPLY 0 · 1624 = 0 |
|||||
| 0 | |||||
| 1 | 6 | 2 | 4 | 1 | 4 |
| 0 | |||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||||
| 0 | |||||
| 1 | 6 | 2 | 4 | 1 | 4 |
| – | 0 | ||||
| 1 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 1 | 6 | 2 | 4 | 1 | 4 |
| – | 0 | ||||
| 1 | 4 | ||||
|
STEP 5: DIVIDE 14 : 1624 = 0 with a remainder of 14 |
|||||
| 0 | 0 | ||||
| 1 | 6 | 2 | 4 | 1 | 4 |
| – | 0 | ||||
| 1 | 4 | ||||
|
STEP 6: MULTIPLY 0 · 1624 = 0 |
|||||
| 0 | 0 | ||||
| 1 | 6 | 2 | 4 | 1 | 4 |
| – | 0 | ||||
| 1 | 4 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 14 - 0 = 14 |
|||||
| 0 | 0 | ||||
| 1 | 6 | 2 | 4 | 1 | 4 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | ||||
|
STEP 7: SUBTRACT 14 - 0 = 14 |
|||||
| 0 | 0 | ||||
| 1 | 6 | 2 | 4 | 1 | 4 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | ||||
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