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Question
What is the quotient and remainder when $ 833 $ is divided by $ 17 $ ?
Answer
The quotient is 49 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 4 | 9 |
| 1 | 7 | 8 | 3 | 3 |
| | – | 0 | | |
| | | 8 | 3 | |
| | – | 6 | 8 | |
| | | 1 | 5 | 3 |
| | – | 1 | 5 | 3 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
| 1 | 7 | 8 | 3 | 3 |
STEP 1: DIVIDE 8 : 17 = 0 with a remainder of 8
|
| | | 0 | | |
| 1 | 7 | 8 | 3 | 3 |
STEP 2: MULTIPLY 0 · 17 = 0
|
| | | 0 | | |
| 1 | 7 | 8 | 3 | 3 |
| | | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | |
| 1 | 7 | 8 | 3 | 3 |
| | – | 0 | | |
| | | 8 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 1 | 7 | 8 | 3 | 3 |
| | – | 0 | | |
| | | 8 | 3 | |
STEP 5: DIVIDE 83 : 17 = 4 with a remainder of 15
|
| | | 0 | 4 | |
| 1 | 7 | 8 | 3 | 3 |
| | – | 0 | | |
| | | 8 | 3 | |
STEP 6: MULTIPLY 4 · 17 = 68
|
| | | 0 | 4 | |
| 1 | 7 | 8 | 3 | 3 |
| | – | 0 | | |
| | | 8 | 3 | |
| | | 6 | 8 | |
STEP 7: SUBTRACT 83 - 68 = 15
|
| | | 0 | 4 | |
| 1 | 7 | 8 | 3 | 3 |
| | – | 0 | | |
| | | 8 | 3 | |
| | – | 6 | 8 | |
| | | 1 | 5 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 4 | |
| 1 | 7 | 8 | 3 | 3 |
| | – | 0 | | |
| | | 8 | 3 | |
| | – | 6 | 8 | |
| | | 1 | 5 | 3 |
STEP 9: DIVIDE 153 : 17 = 9 with a remainder of 0
|
| | | 0 | 4 | 9 |
| 1 | 7 | 8 | 3 | 3 |
| | – | 0 | | |
| | | 8 | 3 | |
| | – | 6 | 8 | |
| | | 1 | 5 | 3 |
STEP 10: MULTIPLY 9 · 17 = 153
|
| | | 0 | 4 | 9 |
| 1 | 7 | 8 | 3 | 3 |
| | – | 0 | | |
| | | 8 | 3 | |
| | – | 6 | 8 | |
| | | 1 | 5 | 3 |
| | | 1 | 5 | 3 |
STEP 11: SUBTRACT 153 - 153 = 0
|
| | | 0 | 4 | 9 |
| 1 | 7 | 8 | 3 | 3 |
| | – | 0 | | |
| | | 8 | 3 | |
| | – | 6 | 8 | |
| | | 1 | 5 | 3 |
| | – | 1 | 5 | 3 |
| | | | | 0 |
STEP 11: SUBTRACT 153 - 153 = 0
|
| | | 0 | 4 | 9 |
| 1 | 7 | 8 | 3 | 3 |
| | – | 0 | | |
| | | 8 | 3 | |
| | – | 6 | 8 | |
| | | 1 | 5 | 3 |
| | – | 1 | 5 | 3 |
| | | | | 0 |
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