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What is the quotient and remainder when $ 8866 $ is divided by $ 13 $ ?
Answer
The quotient is 682 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 6 | 8 | 2 |
1 | 3 | 8 | 8 | 6 | 6 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 7 | 8 | | |
| | 1 | 0 | 6 | |
| – | 1 | 0 | 4 | |
| | | | 2 | 6 |
| | | – | 2 | 6 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
1 | 3 | 8 | 8 | 6 | 6 |
STEP 1: DIVIDE 8 : 13 = 0 with a remainder of 8
|
| | 0 | | | |
1 | 3 | 8 | 8 | 6 | 6 |
STEP 2: MULTIPLY 0 · 13 = 0
|
| | 0 | | | |
1 | 3 | 8 | 8 | 6 | 6 |
| | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | 0 | | | |
1 | 3 | 8 | 8 | 6 | 6 |
| – | 0 | | | |
| | 8 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
1 | 3 | 8 | 8 | 6 | 6 |
| – | 0 | | | |
| | 8 | 8 | | |
STEP 5: DIVIDE 88 : 13 = 6 with a remainder of 10
|
| | 0 | 6 | | |
1 | 3 | 8 | 8 | 6 | 6 |
| – | 0 | | | |
| | 8 | 8 | | |
STEP 6: MULTIPLY 6 · 13 = 78
|
| | 0 | 6 | | |
1 | 3 | 8 | 8 | 6 | 6 |
| – | 0 | | | |
| | 8 | 8 | | |
| | 7 | 8 | | |
STEP 7: SUBTRACT 88 - 78 = 10
|
| | 0 | 6 | | |
1 | 3 | 8 | 8 | 6 | 6 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 7 | 8 | | |
| | 1 | 0 | | |
STEP 8: BRING DOWN
|
| | 0 | 6 | | |
1 | 3 | 8 | 8 | 6 | 6 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 7 | 8 | | |
| | 1 | 0 | 6 | |
STEP 9: DIVIDE 106 : 13 = 8 with a remainder of 2
|
| | 0 | 6 | 8 | |
1 | 3 | 8 | 8 | 6 | 6 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 7 | 8 | | |
| | 1 | 0 | 6 | |
STEP 10: MULTIPLY 8 · 13 = 104
|
| | 0 | 6 | 8 | |
1 | 3 | 8 | 8 | 6 | 6 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 7 | 8 | | |
| | 1 | 0 | 6 | |
| | 1 | 0 | 4 | |
STEP 11: SUBTRACT 106 - 104 = 2
|
| | 0 | 6 | 8 | |
1 | 3 | 8 | 8 | 6 | 6 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 7 | 8 | | |
| | 1 | 0 | 6 | |
| – | 1 | 0 | 4 | |
| | | | 2 | |
STEP 12: BRING DOWN
|
| | 0 | 6 | 8 | |
1 | 3 | 8 | 8 | 6 | 6 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 7 | 8 | | |
| | 1 | 0 | 6 | |
| – | 1 | 0 | 4 | |
| | | | 2 | 6 |
STEP 13: DIVIDE 26 : 13 = 2 with a remainder of 0
|
| | 0 | 6 | 8 | 2 |
1 | 3 | 8 | 8 | 6 | 6 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 7 | 8 | | |
| | 1 | 0 | 6 | |
| – | 1 | 0 | 4 | |
| | | | 2 | 6 |
STEP 14: MULTIPLY 2 · 13 = 26
|
| | 0 | 6 | 8 | 2 |
1 | 3 | 8 | 8 | 6 | 6 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 7 | 8 | | |
| | 1 | 0 | 6 | |
| – | 1 | 0 | 4 | |
| | | | 2 | 6 |
| | | | 2 | 6 |
STEP 15: SUBTRACT 26 - 26 = 0
|
| | 0 | 6 | 8 | 2 |
1 | 3 | 8 | 8 | 6 | 6 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 7 | 8 | | |
| | 1 | 0 | 6 | |
| – | 1 | 0 | 4 | |
| | | | 2 | 6 |
| | | – | 2 | 6 |
| | | | | 0 |
STEP 15: SUBTRACT 26 - 26 = 0
|
| | 0 | 6 | 8 | 2 |
1 | 3 | 8 | 8 | 6 | 6 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 7 | 8 | | |
| | 1 | 0 | 6 | |
| – | 1 | 0 | 4 | |
| | | | 2 | 6 |
| | | – | 2 | 6 |
| | | | | 0 |
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