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Question
What is the quotient and remainder when $ 8886 $ is divided by $ 11 $ ?
Answer
The quotient is 807 and the remainder is 9.
Explanation
|
Division Table
|
| | | 0 | 8 | 0 | 7 |
| 1 | 1 | 8 | 8 | 8 | 6 |
| | – | 0 | | | |
| | | 8 | 8 | | |
| | – | 8 | 8 | | |
| | | | 8 | | |
| | | – | 0 | | |
| | | | 8 | 6 | |
| | | – | 7 | 7 | |
| | | | | 9 | |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 1 | 8 | 8 | 8 | 6 |
STEP 1: DIVIDE 8 : 11 = 0 with a remainder of 8
|
| | | 0 | | | |
| 1 | 1 | 8 | 8 | 8 | 6 |
STEP 2: MULTIPLY 0 · 11 = 0
|
| | | 0 | | | |
| 1 | 1 | 8 | 8 | 8 | 6 |
| | | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | | |
| 1 | 1 | 8 | 8 | 8 | 6 |
| | – | 0 | | | |
| | | 8 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 1 | 1 | 8 | 8 | 8 | 6 |
| | – | 0 | | | |
| | | 8 | 8 | | |
STEP 5: DIVIDE 88 : 11 = 8 with a remainder of 0
|
| | | 0 | 8 | | |
| 1 | 1 | 8 | 8 | 8 | 6 |
| | – | 0 | | | |
| | | 8 | 8 | | |
STEP 6: MULTIPLY 8 · 11 = 88
|
| | | 0 | 8 | | |
| 1 | 1 | 8 | 8 | 8 | 6 |
| | – | 0 | | | |
| | | 8 | 8 | | |
| | | 8 | 8 | | |
STEP 7: SUBTRACT 88 - 88 = 0
|
| | | 0 | 8 | | |
| 1 | 1 | 8 | 8 | 8 | 6 |
| | – | 0 | | | |
| | | 8 | 8 | | |
| | – | 8 | 8 | | |
| | | | 0 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 8 | | |
| 1 | 1 | 8 | 8 | 8 | 6 |
| | – | 0 | | | |
| | | 8 | 8 | | |
| | – | 8 | 8 | | |
| | | | 8 | | |
STEP 9: DIVIDE 8 : 11 = 0 with a remainder of 8
|
| | | 0 | 8 | 0 | |
| 1 | 1 | 8 | 8 | 8 | 6 |
| | – | 0 | | | |
| | | 8 | 8 | | |
| | – | 8 | 8 | | |
| | | | 8 | | |
STEP 10: MULTIPLY 0 · 11 = 0
|
| | | 0 | 8 | 0 | |
| 1 | 1 | 8 | 8 | 8 | 6 |
| | – | 0 | | | |
| | | 8 | 8 | | |
| | – | 8 | 8 | | |
| | | | 8 | | |
| | | | 0 | | |
STEP 11: SUBTRACT 8 - 0 = 8
|
| | | 0 | 8 | 0 | |
| 1 | 1 | 8 | 8 | 8 | 6 |
| | – | 0 | | | |
| | | 8 | 8 | | |
| | – | 8 | 8 | | |
| | | | 8 | | |
| | | – | 0 | | |
| | | | 8 | | |
|
STEP 12: BRING DOWN
|
| | | 0 | 8 | 0 | |
| 1 | 1 | 8 | 8 | 8 | 6 |
| | – | 0 | | | |
| | | 8 | 8 | | |
| | – | 8 | 8 | | |
| | | | 8 | | |
| | | – | 0 | | |
| | | | 8 | 6 | |
STEP 13: DIVIDE 86 : 11 = 7 with a remainder of 9
|
| | | 0 | 8 | 0 | 7 |
| 1 | 1 | 8 | 8 | 8 | 6 |
| | – | 0 | | | |
| | | 8 | 8 | | |
| | – | 8 | 8 | | |
| | | | 8 | | |
| | | – | 0 | | |
| | | | 8 | 6 | |
STEP 14: MULTIPLY 7 · 11 = 77
|
| | | 0 | 8 | 0 | 7 |
| 1 | 1 | 8 | 8 | 8 | 6 |
| | – | 0 | | | |
| | | 8 | 8 | | |
| | – | 8 | 8 | | |
| | | | 8 | | |
| | | – | 0 | | |
| | | | 8 | 6 | |
| | | | 7 | 7 | |
STEP 15: SUBTRACT 86 - 77 = 9
|
| | | 0 | 8 | 0 | 7 |
| 1 | 1 | 8 | 8 | 8 | 6 |
| | – | 0 | | | |
| | | 8 | 8 | | |
| | – | 8 | 8 | | |
| | | | 8 | | |
| | | – | 0 | | |
| | | | 8 | 6 | |
| | | – | 7 | 7 | |
| | | | | 9 | |
STEP 15: SUBTRACT 86 - 77 = 9
|
| | | 0 | 8 | 0 | 7 |
| 1 | 1 | 8 | 8 | 8 | 6 |
| | – | 0 | | | |
| | | 8 | 8 | | |
| | – | 8 | 8 | | |
| | | | 8 | | |
| | | – | 0 | | |
| | | | 8 | 6 | |
| | | – | 7 | 7 | |
| | | | | 9 | |
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