Question
What is the quotient and remainder when $ 42 $ is divided by $ 14 $ ?
Answer
The quotient is 3 and the remainder is 0.
Explanation
| Division Table | |||
| 0 | 3 | ||
| 1 | 4 | 4 | 2 |
| – | 0 | ||
| 4 | 2 | ||
| – | 4 | 2 | |
| 0 | |||
|
STEP 0: set up a division table |
|||
| 1 | 4 | 4 | 2 |
|
STEP 1: DIVIDE 4 : 14 = 0 with a remainder of 4 |
|||
| 0 | |||
| 1 | 4 | 4 | 2 |
|
STEP 2: MULTIPLY 0 · 14 = 0 |
|||
| 0 | |||
| 1 | 4 | 4 | 2 |
| 0 | |||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
|||
| 0 | |||
| 1 | 4 | 4 | 2 |
| – | 0 | ||
| 4 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 1 | 4 | 4 | 2 |
| – | 0 | ||
| 4 | 2 | ||
|
STEP 5: DIVIDE 42 : 14 = 3 with a remainder of 0 |
|||
| 0 | 3 | ||
| 1 | 4 | 4 | 2 |
| – | 0 | ||
| 4 | 2 | ||
|
STEP 6: MULTIPLY 3 · 14 = 42 |
|||
| 0 | 3 | ||
| 1 | 4 | 4 | 2 |
| – | 0 | ||
| 4 | 2 | ||
| 4 | 2 | ||
|
STEP 7: SUBTRACT 42 - 42 = 0 |
|||
| 0 | 3 | ||
| 1 | 4 | 4 | 2 |
| – | 0 | ||
| 4 | 2 | ||
| – | 4 | 2 | |
| 0 | |||
|
STEP 7: SUBTRACT 42 - 42 = 0 |
|||
| 0 | 3 | ||
| 1 | 4 | 4 | 2 |
| – | 0 | ||
| 4 | 2 | ||
| – | 4 | 2 | |
| 0 | |||
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