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What is the quotient and remainder when $ 8001 $ is divided by $ 66 $ ?
Answer
The quotient is 121 and the remainder is 15.
Explanation
Division Table
|
| | 0 | 1 | 2 | 1 |
6 | 6 | 8 | 0 | 0 | 1 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 6 | | |
| | 1 | 4 | 0 | |
| – | 1 | 3 | 2 | |
| | | | 8 | 1 |
| | | – | 6 | 6 |
| | | | 1 | 5 |
STEP 0: set up a division table
|
| | | | | |
6 | 6 | 8 | 0 | 0 | 1 |
STEP 1: DIVIDE 8 : 66 = 0 with a remainder of 8
|
| | 0 | | | |
6 | 6 | 8 | 0 | 0 | 1 |
STEP 2: MULTIPLY 0 · 66 = 0
|
| | 0 | | | |
6 | 6 | 8 | 0 | 0 | 1 |
| | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | 0 | | | |
6 | 6 | 8 | 0 | 0 | 1 |
| – | 0 | | | |
| | 8 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
6 | 6 | 8 | 0 | 0 | 1 |
| – | 0 | | | |
| | 8 | 0 | | |
STEP 5: DIVIDE 80 : 66 = 1 with a remainder of 14
|
| | 0 | 1 | | |
6 | 6 | 8 | 0 | 0 | 1 |
| – | 0 | | | |
| | 8 | 0 | | |
STEP 6: MULTIPLY 1 · 66 = 66
|
| | 0 | 1 | | |
6 | 6 | 8 | 0 | 0 | 1 |
| – | 0 | | | |
| | 8 | 0 | | |
| | 6 | 6 | | |
STEP 7: SUBTRACT 80 - 66 = 14
|
| | 0 | 1 | | |
6 | 6 | 8 | 0 | 0 | 1 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 6 | | |
| | 1 | 4 | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | |
6 | 6 | 8 | 0 | 0 | 1 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 6 | | |
| | 1 | 4 | 0 | |
STEP 9: DIVIDE 140 : 66 = 2 with a remainder of 8
|
| | 0 | 1 | 2 | |
6 | 6 | 8 | 0 | 0 | 1 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 6 | | |
| | 1 | 4 | 0 | |
STEP 10: MULTIPLY 2 · 66 = 132
|
| | 0 | 1 | 2 | |
6 | 6 | 8 | 0 | 0 | 1 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 6 | | |
| | 1 | 4 | 0 | |
| | 1 | 3 | 2 | |
STEP 11: SUBTRACT 140 - 132 = 8
|
| | 0 | 1 | 2 | |
6 | 6 | 8 | 0 | 0 | 1 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 6 | | |
| | 1 | 4 | 0 | |
| – | 1 | 3 | 2 | |
| | | | 8 | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 2 | |
6 | 6 | 8 | 0 | 0 | 1 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 6 | | |
| | 1 | 4 | 0 | |
| – | 1 | 3 | 2 | |
| | | | 8 | 1 |
STEP 13: DIVIDE 81 : 66 = 1 with a remainder of 15
|
| | 0 | 1 | 2 | 1 |
6 | 6 | 8 | 0 | 0 | 1 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 6 | | |
| | 1 | 4 | 0 | |
| – | 1 | 3 | 2 | |
| | | | 8 | 1 |
STEP 14: MULTIPLY 1 · 66 = 66
|
| | 0 | 1 | 2 | 1 |
6 | 6 | 8 | 0 | 0 | 1 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 6 | | |
| | 1 | 4 | 0 | |
| – | 1 | 3 | 2 | |
| | | | 8 | 1 |
| | | | 6 | 6 |
STEP 15: SUBTRACT 81 - 66 = 15
|
| | 0 | 1 | 2 | 1 |
6 | 6 | 8 | 0 | 0 | 1 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 6 | | |
| | 1 | 4 | 0 | |
| – | 1 | 3 | 2 | |
| | | | 8 | 1 |
| | | – | 6 | 6 |
| | | | 1 | 5 |
STEP 15: SUBTRACT 81 - 66 = 15
|
| | 0 | 1 | 2 | 1 |
6 | 6 | 8 | 0 | 0 | 1 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 6 | | |
| | 1 | 4 | 0 | |
| – | 1 | 3 | 2 | |
| | | | 8 | 1 |
| | | – | 6 | 6 |
| | | | 1 | 5 |
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