Question
What is the quotient and remainder when $ 76 $ is divided by $ 14 $ ?
Answer
The quotient is 5 and the remainder is 6.
Explanation
| Division Table | |||
| 0 | 5 | ||
| 1 | 4 | 7 | 6 |
| – | 0 | ||
| 7 | 6 | ||
| – | 7 | 0 | |
| 6 | |||
|
STEP 0: set up a division table |
|||
| 1 | 4 | 7 | 6 |
|
STEP 1: DIVIDE 7 : 14 = 0 with a remainder of 7 |
|||
| 0 | |||
| 1 | 4 | 7 | 6 |
|
STEP 2: MULTIPLY 0 · 14 = 0 |
|||
| 0 | |||
| 1 | 4 | 7 | 6 |
| 0 | |||
|
STEP 3: SUBTRACT 7 - 0 = 7 |
|||
| 0 | |||
| 1 | 4 | 7 | 6 |
| – | 0 | ||
| 7 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 1 | 4 | 7 | 6 |
| – | 0 | ||
| 7 | 6 | ||
|
STEP 5: DIVIDE 76 : 14 = 5 with a remainder of 6 |
|||
| 0 | 5 | ||
| 1 | 4 | 7 | 6 |
| – | 0 | ||
| 7 | 6 | ||
|
STEP 6: MULTIPLY 5 · 14 = 70 |
|||
| 0 | 5 | ||
| 1 | 4 | 7 | 6 |
| – | 0 | ||
| 7 | 6 | ||
| 7 | 0 | ||
|
STEP 7: SUBTRACT 76 - 70 = 6 |
|||
| 0 | 5 | ||
| 1 | 4 | 7 | 6 |
| – | 0 | ||
| 7 | 6 | ||
| – | 7 | 0 | |
| 6 | |||
|
STEP 7: SUBTRACT 76 - 70 = 6 |
|||
| 0 | 5 | ||
| 1 | 4 | 7 | 6 |
| – | 0 | ||
| 7 | 6 | ||
| – | 7 | 0 | |
| 6 | |||
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