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Question
What is the quotient and remainder when $ 9746 $ is divided by $ 11 $ ?
Answer
The quotient is 886 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 8 | 8 | 6 |
1 | 1 | 9 | 7 | 4 | 6 |
| – | 0 | | | |
| | 9 | 7 | | |
| – | 8 | 8 | | |
| | | 9 | 4 | |
| | – | 8 | 8 | |
| | | | 6 | 6 |
| | | – | 6 | 6 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
1 | 1 | 9 | 7 | 4 | 6 |
STEP 1: DIVIDE 9 : 11 = 0 with a remainder of 9
|
| | 0 | | | |
1 | 1 | 9 | 7 | 4 | 6 |
STEP 2: MULTIPLY 0 · 11 = 0
|
| | 0 | | | |
1 | 1 | 9 | 7 | 4 | 6 |
| | 0 | | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | 0 | | | |
1 | 1 | 9 | 7 | 4 | 6 |
| – | 0 | | | |
| | 9 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
1 | 1 | 9 | 7 | 4 | 6 |
| – | 0 | | | |
| | 9 | 7 | | |
STEP 5: DIVIDE 97 : 11 = 8 with a remainder of 9
|
| | 0 | 8 | | |
1 | 1 | 9 | 7 | 4 | 6 |
| – | 0 | | | |
| | 9 | 7 | | |
STEP 6: MULTIPLY 8 · 11 = 88
|
| | 0 | 8 | | |
1 | 1 | 9 | 7 | 4 | 6 |
| – | 0 | | | |
| | 9 | 7 | | |
| | 8 | 8 | | |
STEP 7: SUBTRACT 97 - 88 = 9
|
| | 0 | 8 | | |
1 | 1 | 9 | 7 | 4 | 6 |
| – | 0 | | | |
| | 9 | 7 | | |
| – | 8 | 8 | | |
| | | 9 | | |
STEP 8: BRING DOWN
|
| | 0 | 8 | | |
1 | 1 | 9 | 7 | 4 | 6 |
| – | 0 | | | |
| | 9 | 7 | | |
| – | 8 | 8 | | |
| | | 9 | 4 | |
STEP 9: DIVIDE 94 : 11 = 8 with a remainder of 6
|
| | 0 | 8 | 8 | |
1 | 1 | 9 | 7 | 4 | 6 |
| – | 0 | | | |
| | 9 | 7 | | |
| – | 8 | 8 | | |
| | | 9 | 4 | |
STEP 10: MULTIPLY 8 · 11 = 88
|
| | 0 | 8 | 8 | |
1 | 1 | 9 | 7 | 4 | 6 |
| – | 0 | | | |
| | 9 | 7 | | |
| – | 8 | 8 | | |
| | | 9 | 4 | |
| | | 8 | 8 | |
STEP 11: SUBTRACT 94 - 88 = 6
|
| | 0 | 8 | 8 | |
1 | 1 | 9 | 7 | 4 | 6 |
| – | 0 | | | |
| | 9 | 7 | | |
| – | 8 | 8 | | |
| | | 9 | 4 | |
| | – | 8 | 8 | |
| | | | 6 | |
STEP 12: BRING DOWN
|
| | 0 | 8 | 8 | |
1 | 1 | 9 | 7 | 4 | 6 |
| – | 0 | | | |
| | 9 | 7 | | |
| – | 8 | 8 | | |
| | | 9 | 4 | |
| | – | 8 | 8 | |
| | | | 6 | 6 |
STEP 13: DIVIDE 66 : 11 = 6 with a remainder of 0
|
| | 0 | 8 | 8 | 6 |
1 | 1 | 9 | 7 | 4 | 6 |
| – | 0 | | | |
| | 9 | 7 | | |
| – | 8 | 8 | | |
| | | 9 | 4 | |
| | – | 8 | 8 | |
| | | | 6 | 6 |
STEP 14: MULTIPLY 6 · 11 = 66
|
| | 0 | 8 | 8 | 6 |
1 | 1 | 9 | 7 | 4 | 6 |
| – | 0 | | | |
| | 9 | 7 | | |
| – | 8 | 8 | | |
| | | 9 | 4 | |
| | – | 8 | 8 | |
| | | | 6 | 6 |
| | | | 6 | 6 |
STEP 15: SUBTRACT 66 - 66 = 0
|
| | 0 | 8 | 8 | 6 |
1 | 1 | 9 | 7 | 4 | 6 |
| – | 0 | | | |
| | 9 | 7 | | |
| – | 8 | 8 | | |
| | | 9 | 4 | |
| | – | 8 | 8 | |
| | | | 6 | 6 |
| | | – | 6 | 6 |
| | | | | 0 |
STEP 15: SUBTRACT 66 - 66 = 0
|
| | 0 | 8 | 8 | 6 |
1 | 1 | 9 | 7 | 4 | 6 |
| – | 0 | | | |
| | 9 | 7 | | |
| – | 8 | 8 | | |
| | | 9 | 4 | |
| | – | 8 | 8 | |
| | | | 6 | 6 |
| | | – | 6 | 6 |
| | | | | 0 |
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