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Question
What is the quotient and remainder when $ 8632 $ is divided by $ 83 $ ?
Answer
The quotient is 104 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 1 | 0 | 4 |
| 8 | 3 | 8 | 6 | 3 | 2 |
| | – | 0 | | | |
| | | 8 | 6 | | |
| | – | 8 | 3 | | |
| | | | 3 | 3 | |
| | | | – | 0 | |
| | | | 3 | 3 | 2 |
| | | – | 3 | 3 | 2 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 8 | 3 | 8 | 6 | 3 | 2 |
STEP 1: DIVIDE 8 : 83 = 0 with a remainder of 8
|
| | | 0 | | | |
| 8 | 3 | 8 | 6 | 3 | 2 |
STEP 2: MULTIPLY 0 · 83 = 0
|
| | | 0 | | | |
| 8 | 3 | 8 | 6 | 3 | 2 |
| | | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | | |
| 8 | 3 | 8 | 6 | 3 | 2 |
| | – | 0 | | | |
| | | 8 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 8 | 3 | 8 | 6 | 3 | 2 |
| | – | 0 | | | |
| | | 8 | 6 | | |
STEP 5: DIVIDE 86 : 83 = 1 with a remainder of 3
|
| | | 0 | 1 | | |
| 8 | 3 | 8 | 6 | 3 | 2 |
| | – | 0 | | | |
| | | 8 | 6 | | |
STEP 6: MULTIPLY 1 · 83 = 83
|
| | | 0 | 1 | | |
| 8 | 3 | 8 | 6 | 3 | 2 |
| | – | 0 | | | |
| | | 8 | 6 | | |
| | | 8 | 3 | | |
STEP 7: SUBTRACT 86 - 83 = 3
|
| | | 0 | 1 | | |
| 8 | 3 | 8 | 6 | 3 | 2 |
| | – | 0 | | | |
| | | 8 | 6 | | |
| | – | 8 | 3 | | |
| | | | 3 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 8 | 3 | 8 | 6 | 3 | 2 |
| | – | 0 | | | |
| | | 8 | 6 | | |
| | – | 8 | 3 | | |
| | | | 3 | 3 | |
STEP 9: DIVIDE 33 : 83 = 0 with a remainder of 33
|
| | | 0 | 1 | 0 | |
| 8 | 3 | 8 | 6 | 3 | 2 |
| | – | 0 | | | |
| | | 8 | 6 | | |
| | – | 8 | 3 | | |
| | | | 3 | 3 | |
STEP 10: MULTIPLY 0 · 83 = 0
|
| | | 0 | 1 | 0 | |
| 8 | 3 | 8 | 6 | 3 | 2 |
| | – | 0 | | | |
| | | 8 | 6 | | |
| | – | 8 | 3 | | |
| | | | 3 | 3 | |
| | | | | 0 | |
STEP 11: SUBTRACT 33 - 0 = 33
|
| | | 0 | 1 | 0 | |
| 8 | 3 | 8 | 6 | 3 | 2 |
| | – | 0 | | | |
| | | 8 | 6 | | |
| | – | 8 | 3 | | |
| | | | 3 | 3 | |
| | | | – | 0 | |
| | | | 3 | 3 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 0 | |
| 8 | 3 | 8 | 6 | 3 | 2 |
| | – | 0 | | | |
| | | 8 | 6 | | |
| | – | 8 | 3 | | |
| | | | 3 | 3 | |
| | | | – | 0 | |
| | | | 3 | 3 | 2 |
STEP 13: DIVIDE 332 : 83 = 4 with a remainder of 0
|
| | | 0 | 1 | 0 | 4 |
| 8 | 3 | 8 | 6 | 3 | 2 |
| | – | 0 | | | |
| | | 8 | 6 | | |
| | – | 8 | 3 | | |
| | | | 3 | 3 | |
| | | | – | 0 | |
| | | | 3 | 3 | 2 |
STEP 14: MULTIPLY 4 · 83 = 332
|
| | | 0 | 1 | 0 | 4 |
| 8 | 3 | 8 | 6 | 3 | 2 |
| | – | 0 | | | |
| | | 8 | 6 | | |
| | – | 8 | 3 | | |
| | | | 3 | 3 | |
| | | | – | 0 | |
| | | | 3 | 3 | 2 |
| | | | 3 | 3 | 2 |
STEP 15: SUBTRACT 332 - 332 = 0
|
| | | 0 | 1 | 0 | 4 |
| 8 | 3 | 8 | 6 | 3 | 2 |
| | – | 0 | | | |
| | | 8 | 6 | | |
| | – | 8 | 3 | | |
| | | | 3 | 3 | |
| | | | – | 0 | |
| | | | 3 | 3 | 2 |
| | | – | 3 | 3 | 2 |
| | | | | | 0 |
STEP 15: SUBTRACT 332 - 332 = 0
|
| | | 0 | 1 | 0 | 4 |
| 8 | 3 | 8 | 6 | 3 | 2 |
| | – | 0 | | | |
| | | 8 | 6 | | |
| | – | 8 | 3 | | |
| | | | 3 | 3 | |
| | | | – | 0 | |
| | | | 3 | 3 | 2 |
| | | – | 3 | 3 | 2 |
| | | | | | 0 |
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