What is the quotient and remainder when $ 338 $ is divided by $ 11 $ ?
Answer
The quotient is 30 and the remainder is 8.
Explanation
| Division Table | ||||
| 0 | 3 | 0 | ||
| 1 | 1 | 3 | 3 | 8 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 3 | ||
| 8 | ||||
| – | 0 | |||
| 8 | ||||
|
STEP 0: set up a division table |
||||
| 1 | 1 | 3 | 3 | 8 |
|
STEP 1: DIVIDE 3 : 11 = 0 with a remainder of 3 |
||||
| 0 | ||||
| 1 | 1 | 3 | 3 | 8 |
|
STEP 2: MULTIPLY 0 · 11 = 0 |
||||
| 0 | ||||
| 1 | 1 | 3 | 3 | 8 |
| 0 | ||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||||
| 0 | ||||
| 1 | 1 | 3 | 3 | 8 |
| – | 0 | |||
| 3 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 1 | 3 | 3 | 8 |
| – | 0 | |||
| 3 | 3 | |||
|
STEP 5: DIVIDE 33 : 11 = 3 with a remainder of 0 |
||||
| 0 | 3 | |||
| 1 | 1 | 3 | 3 | 8 |
| – | 0 | |||
| 3 | 3 | |||
|
STEP 6: MULTIPLY 3 · 11 = 33 |
||||
| 0 | 3 | |||
| 1 | 1 | 3 | 3 | 8 |
| – | 0 | |||
| 3 | 3 | |||
| 3 | 3 | |||
|
STEP 7: SUBTRACT 33 - 33 = 0 |
||||
| 0 | 3 | |||
| 1 | 1 | 3 | 3 | 8 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 3 | ||
| 0 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 3 | |||
| 1 | 1 | 3 | 3 | 8 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 3 | ||
| 8 | ||||
|
STEP 9: DIVIDE 8 : 11 = 0 with a remainder of 8 |
||||
| 0 | 3 | 0 | ||
| 1 | 1 | 3 | 3 | 8 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 3 | ||
| 8 | ||||
|
STEP 10: MULTIPLY 0 · 11 = 0 |
||||
| 0 | 3 | 0 | ||
| 1 | 1 | 3 | 3 | 8 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 3 | ||
| 8 | ||||
| 0 | ||||
|
STEP 11: SUBTRACT 8 - 0 = 8 |
||||
| 0 | 3 | 0 | ||
| 1 | 1 | 3 | 3 | 8 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 3 | ||
| 8 | ||||
| – | 0 | |||
| 8 | ||||
|
STEP 11: SUBTRACT 8 - 0 = 8 |
||||
| 0 | 3 | 0 | ||
| 1 | 1 | 3 | 3 | 8 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 3 | ||
| 8 | ||||
| – | 0 | |||
| 8 | ||||
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