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Question
What is the quotient and remainder when $ 864 $ is divided by $ 96 $ ?
Answer
The quotient is 9 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 0 | 9 |
| 9 | 6 | 8 | 6 | 4 |
| | – | 0 | | |
| | | 8 | 6 | |
| | | – | 0 | |
| | | 8 | 6 | 4 |
| | – | 8 | 6 | 4 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
| 9 | 6 | 8 | 6 | 4 |
STEP 1: DIVIDE 8 : 96 = 0 with a remainder of 8
|
| | | 0 | | |
| 9 | 6 | 8 | 6 | 4 |
STEP 2: MULTIPLY 0 · 96 = 0
|
| | | 0 | | |
| 9 | 6 | 8 | 6 | 4 |
| | | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | |
| 9 | 6 | 8 | 6 | 4 |
| | – | 0 | | |
| | | 8 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 9 | 6 | 8 | 6 | 4 |
| | – | 0 | | |
| | | 8 | 6 | |
STEP 5: DIVIDE 86 : 96 = 0 with a remainder of 86
|
| | | 0 | 0 | |
| 9 | 6 | 8 | 6 | 4 |
| | – | 0 | | |
| | | 8 | 6 | |
STEP 6: MULTIPLY 0 · 96 = 0
|
| | | 0 | 0 | |
| 9 | 6 | 8 | 6 | 4 |
| | – | 0 | | |
| | | 8 | 6 | |
| | | | 0 | |
STEP 7: SUBTRACT 86 - 0 = 86
|
| | | 0 | 0 | |
| 9 | 6 | 8 | 6 | 4 |
| | – | 0 | | |
| | | 8 | 6 | |
| | | – | 0 | |
| | | 8 | 6 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
| 9 | 6 | 8 | 6 | 4 |
| | – | 0 | | |
| | | 8 | 6 | |
| | | – | 0 | |
| | | 8 | 6 | 4 |
STEP 9: DIVIDE 864 : 96 = 9 with a remainder of 0
|
| | | 0 | 0 | 9 |
| 9 | 6 | 8 | 6 | 4 |
| | – | 0 | | |
| | | 8 | 6 | |
| | | – | 0 | |
| | | 8 | 6 | 4 |
STEP 10: MULTIPLY 9 · 96 = 864
|
| | | 0 | 0 | 9 |
| 9 | 6 | 8 | 6 | 4 |
| | – | 0 | | |
| | | 8 | 6 | |
| | | – | 0 | |
| | | 8 | 6 | 4 |
| | | 8 | 6 | 4 |
STEP 11: SUBTRACT 864 - 864 = 0
|
| | | 0 | 0 | 9 |
| 9 | 6 | 8 | 6 | 4 |
| | – | 0 | | |
| | | 8 | 6 | |
| | | – | 0 | |
| | | 8 | 6 | 4 |
| | – | 8 | 6 | 4 |
| | | | | 0 |
STEP 11: SUBTRACT 864 - 864 = 0
|
| | | 0 | 0 | 9 |
| 9 | 6 | 8 | 6 | 4 |
| | – | 0 | | |
| | | 8 | 6 | |
| | | – | 0 | |
| | | 8 | 6 | 4 |
| | – | 8 | 6 | 4 |
| | | | | 0 |
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