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What is the quotient and remainder when $ 8024 $ is divided by $ 17 $ ?
Answer
The quotient is 472 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 4 | 7 | 2 |
1 | 7 | 8 | 0 | 2 | 4 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 8 | | |
| | 1 | 2 | 2 | |
| – | 1 | 1 | 9 | |
| | | | 3 | 4 |
| | | – | 3 | 4 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
1 | 7 | 8 | 0 | 2 | 4 |
STEP 1: DIVIDE 8 : 17 = 0 with a remainder of 8
|
| | 0 | | | |
1 | 7 | 8 | 0 | 2 | 4 |
STEP 2: MULTIPLY 0 · 17 = 0
|
| | 0 | | | |
1 | 7 | 8 | 0 | 2 | 4 |
| | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | 0 | | | |
1 | 7 | 8 | 0 | 2 | 4 |
| – | 0 | | | |
| | 8 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
1 | 7 | 8 | 0 | 2 | 4 |
| – | 0 | | | |
| | 8 | 0 | | |
STEP 5: DIVIDE 80 : 17 = 4 with a remainder of 12
|
| | 0 | 4 | | |
1 | 7 | 8 | 0 | 2 | 4 |
| – | 0 | | | |
| | 8 | 0 | | |
STEP 6: MULTIPLY 4 · 17 = 68
|
| | 0 | 4 | | |
1 | 7 | 8 | 0 | 2 | 4 |
| – | 0 | | | |
| | 8 | 0 | | |
| | 6 | 8 | | |
STEP 7: SUBTRACT 80 - 68 = 12
|
| | 0 | 4 | | |
1 | 7 | 8 | 0 | 2 | 4 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 8 | | |
| | 1 | 2 | | |
STEP 8: BRING DOWN
|
| | 0 | 4 | | |
1 | 7 | 8 | 0 | 2 | 4 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 8 | | |
| | 1 | 2 | 2 | |
STEP 9: DIVIDE 122 : 17 = 7 with a remainder of 3
|
| | 0 | 4 | 7 | |
1 | 7 | 8 | 0 | 2 | 4 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 8 | | |
| | 1 | 2 | 2 | |
STEP 10: MULTIPLY 7 · 17 = 119
|
| | 0 | 4 | 7 | |
1 | 7 | 8 | 0 | 2 | 4 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 8 | | |
| | 1 | 2 | 2 | |
| | 1 | 1 | 9 | |
STEP 11: SUBTRACT 122 - 119 = 3
|
| | 0 | 4 | 7 | |
1 | 7 | 8 | 0 | 2 | 4 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 8 | | |
| | 1 | 2 | 2 | |
| – | 1 | 1 | 9 | |
| | | | 3 | |
STEP 12: BRING DOWN
|
| | 0 | 4 | 7 | |
1 | 7 | 8 | 0 | 2 | 4 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 8 | | |
| | 1 | 2 | 2 | |
| – | 1 | 1 | 9 | |
| | | | 3 | 4 |
STEP 13: DIVIDE 34 : 17 = 2 with a remainder of 0
|
| | 0 | 4 | 7 | 2 |
1 | 7 | 8 | 0 | 2 | 4 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 8 | | |
| | 1 | 2 | 2 | |
| – | 1 | 1 | 9 | |
| | | | 3 | 4 |
STEP 14: MULTIPLY 2 · 17 = 34
|
| | 0 | 4 | 7 | 2 |
1 | 7 | 8 | 0 | 2 | 4 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 8 | | |
| | 1 | 2 | 2 | |
| – | 1 | 1 | 9 | |
| | | | 3 | 4 |
| | | | 3 | 4 |
STEP 15: SUBTRACT 34 - 34 = 0
|
| | 0 | 4 | 7 | 2 |
1 | 7 | 8 | 0 | 2 | 4 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 8 | | |
| | 1 | 2 | 2 | |
| – | 1 | 1 | 9 | |
| | | | 3 | 4 |
| | | – | 3 | 4 |
| | | | | 0 |
STEP 15: SUBTRACT 34 - 34 = 0
|
| | 0 | 4 | 7 | 2 |
1 | 7 | 8 | 0 | 2 | 4 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 8 | | |
| | 1 | 2 | 2 | |
| – | 1 | 1 | 9 | |
| | | | 3 | 4 |
| | | – | 3 | 4 |
| | | | | 0 |
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