Question
What is the quotient and remainder when $ 3356 $ is divided by $ 11 $ ?
Answer
The quotient is 305 and the remainder is 1.
Explanation
| Division Table | |||||
| 0 | 3 | 0 | 5 | ||
| 1 | 1 | 3 | 3 | 5 | 6 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 3 | 3 | |||
| 5 | |||||
| – | 0 | ||||
| 5 | 6 | ||||
| – | 5 | 5 | |||
| 1 | |||||
|
STEP 0: set up a division table |
|||||
| 1 | 1 | 3 | 3 | 5 | 6 |
|
STEP 1: DIVIDE 3 : 11 = 0 with a remainder of 3 |
|||||
| 0 | |||||
| 1 | 1 | 3 | 3 | 5 | 6 |
|
STEP 2: MULTIPLY 0 · 11 = 0 |
|||||
| 0 | |||||
| 1 | 1 | 3 | 3 | 5 | 6 |
| 0 | |||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
|||||
| 0 | |||||
| 1 | 1 | 3 | 3 | 5 | 6 |
| – | 0 | ||||
| 3 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 1 | 1 | 3 | 3 | 5 | 6 |
| – | 0 | ||||
| 3 | 3 | ||||
|
STEP 5: DIVIDE 33 : 11 = 3 with a remainder of 0 |
|||||
| 0 | 3 | ||||
| 1 | 1 | 3 | 3 | 5 | 6 |
| – | 0 | ||||
| 3 | 3 | ||||
|
STEP 6: MULTIPLY 3 · 11 = 33 |
|||||
| 0 | 3 | ||||
| 1 | 1 | 3 | 3 | 5 | 6 |
| – | 0 | ||||
| 3 | 3 | ||||
| 3 | 3 | ||||
|
STEP 7: SUBTRACT 33 - 33 = 0 |
|||||
| 0 | 3 | ||||
| 1 | 1 | 3 | 3 | 5 | 6 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 3 | 3 | |||
| 0 | |||||
| STEP 8: BRING DOWN | |||||
| 0 | 3 | ||||
| 1 | 1 | 3 | 3 | 5 | 6 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 3 | 3 | |||
| 5 | |||||
|
STEP 9: DIVIDE 5 : 11 = 0 with a remainder of 5 |
|||||
| 0 | 3 | 0 | |||
| 1 | 1 | 3 | 3 | 5 | 6 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 3 | 3 | |||
| 5 | |||||
|
STEP 10: MULTIPLY 0 · 11 = 0 |
|||||
| 0 | 3 | 0 | |||
| 1 | 1 | 3 | 3 | 5 | 6 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 3 | 3 | |||
| 5 | |||||
| 0 | |||||
|
STEP 11: SUBTRACT 5 - 0 = 5 |
|||||
| 0 | 3 | 0 | |||
| 1 | 1 | 3 | 3 | 5 | 6 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 3 | 3 | |||
| 5 | |||||
| – | 0 | ||||
| 5 | |||||
| STEP 12: BRING DOWN | |||||
| 0 | 3 | 0 | |||
| 1 | 1 | 3 | 3 | 5 | 6 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 3 | 3 | |||
| 5 | |||||
| – | 0 | ||||
| 5 | 6 | ||||
|
STEP 13: DIVIDE 56 : 11 = 5 with a remainder of 1 |
|||||
| 0 | 3 | 0 | 5 | ||
| 1 | 1 | 3 | 3 | 5 | 6 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 3 | 3 | |||
| 5 | |||||
| – | 0 | ||||
| 5 | 6 | ||||
|
STEP 14: MULTIPLY 5 · 11 = 55 |
|||||
| 0 | 3 | 0 | 5 | ||
| 1 | 1 | 3 | 3 | 5 | 6 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 3 | 3 | |||
| 5 | |||||
| – | 0 | ||||
| 5 | 6 | ||||
| 5 | 5 | ||||
|
STEP 15: SUBTRACT 56 - 55 = 1 |
|||||
| 0 | 3 | 0 | 5 | ||
| 1 | 1 | 3 | 3 | 5 | 6 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 3 | 3 | |||
| 5 | |||||
| – | 0 | ||||
| 5 | 6 | ||||
| – | 5 | 5 | |||
| 1 | |||||
|
STEP 15: SUBTRACT 56 - 55 = 1 |
|||||
| 0 | 3 | 0 | 5 | ||
| 1 | 1 | 3 | 3 | 5 | 6 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 3 | 3 | |||
| 5 | |||||
| – | 0 | ||||
| 5 | 6 | ||||
| – | 5 | 5 | |||
| 1 | |||||
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