Question
What is the quotient and remainder when $ 77 $ is divided by $ 11 $ ?
Answer
The quotient is 7 and the remainder is 0.
Explanation
| Division Table | |||
| 0 | 7 | ||
| 1 | 1 | 7 | 7 |
| – | 0 | ||
| 7 | 7 | ||
| – | 7 | 7 | |
| 0 | |||
|
STEP 0: set up a division table |
|||
| 1 | 1 | 7 | 7 |
|
STEP 1: DIVIDE 7 : 11 = 0 with a remainder of 7 |
|||
| 0 | |||
| 1 | 1 | 7 | 7 |
|
STEP 2: MULTIPLY 0 · 11 = 0 |
|||
| 0 | |||
| 1 | 1 | 7 | 7 |
| 0 | |||
|
STEP 3: SUBTRACT 7 - 0 = 7 |
|||
| 0 | |||
| 1 | 1 | 7 | 7 |
| – | 0 | ||
| 7 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 1 | 1 | 7 | 7 |
| – | 0 | ||
| 7 | 7 | ||
|
STEP 5: DIVIDE 77 : 11 = 7 with a remainder of 0 |
|||
| 0 | 7 | ||
| 1 | 1 | 7 | 7 |
| – | 0 | ||
| 7 | 7 | ||
|
STEP 6: MULTIPLY 7 · 11 = 77 |
|||
| 0 | 7 | ||
| 1 | 1 | 7 | 7 |
| – | 0 | ||
| 7 | 7 | ||
| 7 | 7 | ||
|
STEP 7: SUBTRACT 77 - 77 = 0 |
|||
| 0 | 7 | ||
| 1 | 1 | 7 | 7 |
| – | 0 | ||
| 7 | 7 | ||
| – | 7 | 7 | |
| 0 | |||
|
STEP 7: SUBTRACT 77 - 77 = 0 |
|||
| 0 | 7 | ||
| 1 | 1 | 7 | 7 |
| – | 0 | ||
| 7 | 7 | ||
| – | 7 | 7 | |
| 0 | |||
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