Question
What is the quotient and remainder when $ 361 $ is divided by $ 11 $ ?
Answer
The quotient is 32 and the remainder is 9.
Explanation
| Division Table | ||||
| 0 | 3 | 2 | ||
| 1 | 1 | 3 | 6 | 1 |
| – | 0 | |||
| 3 | 6 | |||
| – | 3 | 3 | ||
| 3 | 1 | |||
| – | 2 | 2 | ||
| 9 | ||||
|
STEP 0: set up a division table |
||||
| 1 | 1 | 3 | 6 | 1 |
|
STEP 1: DIVIDE 3 : 11 = 0 with a remainder of 3 |
||||
| 0 | ||||
| 1 | 1 | 3 | 6 | 1 |
|
STEP 2: MULTIPLY 0 · 11 = 0 |
||||
| 0 | ||||
| 1 | 1 | 3 | 6 | 1 |
| 0 | ||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||||
| 0 | ||||
| 1 | 1 | 3 | 6 | 1 |
| – | 0 | |||
| 3 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 1 | 3 | 6 | 1 |
| – | 0 | |||
| 3 | 6 | |||
|
STEP 5: DIVIDE 36 : 11 = 3 with a remainder of 3 |
||||
| 0 | 3 | |||
| 1 | 1 | 3 | 6 | 1 |
| – | 0 | |||
| 3 | 6 | |||
|
STEP 6: MULTIPLY 3 · 11 = 33 |
||||
| 0 | 3 | |||
| 1 | 1 | 3 | 6 | 1 |
| – | 0 | |||
| 3 | 6 | |||
| 3 | 3 | |||
|
STEP 7: SUBTRACT 36 - 33 = 3 |
||||
| 0 | 3 | |||
| 1 | 1 | 3 | 6 | 1 |
| – | 0 | |||
| 3 | 6 | |||
| – | 3 | 3 | ||
| 3 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 3 | |||
| 1 | 1 | 3 | 6 | 1 |
| – | 0 | |||
| 3 | 6 | |||
| – | 3 | 3 | ||
| 3 | 1 | |||
|
STEP 9: DIVIDE 31 : 11 = 2 with a remainder of 9 |
||||
| 0 | 3 | 2 | ||
| 1 | 1 | 3 | 6 | 1 |
| – | 0 | |||
| 3 | 6 | |||
| – | 3 | 3 | ||
| 3 | 1 | |||
|
STEP 10: MULTIPLY 2 · 11 = 22 |
||||
| 0 | 3 | 2 | ||
| 1 | 1 | 3 | 6 | 1 |
| – | 0 | |||
| 3 | 6 | |||
| – | 3 | 3 | ||
| 3 | 1 | |||
| 2 | 2 | |||
|
STEP 11: SUBTRACT 31 - 22 = 9 |
||||
| 0 | 3 | 2 | ||
| 1 | 1 | 3 | 6 | 1 |
| – | 0 | |||
| 3 | 6 | |||
| – | 3 | 3 | ||
| 3 | 1 | |||
| – | 2 | 2 | ||
| 9 | ||||
|
STEP 11: SUBTRACT 31 - 22 = 9 |
||||
| 0 | 3 | 2 | ||
| 1 | 1 | 3 | 6 | 1 |
| – | 0 | |||
| 3 | 6 | |||
| – | 3 | 3 | ||
| 3 | 1 | |||
| – | 2 | 2 | ||
| 9 | ||||
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