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Question
What is the quotient and remainder when $ 846 $ is divided by $ 86 $ ?
Answer
The quotient is 9 and the remainder is 72.
Explanation
|
Division Table
|
| | | 0 | 0 | 9 |
| 8 | 6 | 8 | 4 | 6 |
| | – | 0 | | |
| | | 8 | 4 | |
| | | – | 0 | |
| | | 8 | 4 | 6 |
| | – | 7 | 7 | 4 |
| | | | 7 | 2 |
STEP 0: set up a division table
|
| | | | | |
| 8 | 6 | 8 | 4 | 6 |
STEP 1: DIVIDE 8 : 86 = 0 with a remainder of 8
|
| | | 0 | | |
| 8 | 6 | 8 | 4 | 6 |
STEP 2: MULTIPLY 0 · 86 = 0
|
| | | 0 | | |
| 8 | 6 | 8 | 4 | 6 |
| | | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | |
| 8 | 6 | 8 | 4 | 6 |
| | – | 0 | | |
| | | 8 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 8 | 6 | 8 | 4 | 6 |
| | – | 0 | | |
| | | 8 | 4 | |
STEP 5: DIVIDE 84 : 86 = 0 with a remainder of 84
|
| | | 0 | 0 | |
| 8 | 6 | 8 | 4 | 6 |
| | – | 0 | | |
| | | 8 | 4 | |
STEP 6: MULTIPLY 0 · 86 = 0
|
| | | 0 | 0 | |
| 8 | 6 | 8 | 4 | 6 |
| | – | 0 | | |
| | | 8 | 4 | |
| | | | 0 | |
STEP 7: SUBTRACT 84 - 0 = 84
|
| | | 0 | 0 | |
| 8 | 6 | 8 | 4 | 6 |
| | – | 0 | | |
| | | 8 | 4 | |
| | | – | 0 | |
| | | 8 | 4 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
| 8 | 6 | 8 | 4 | 6 |
| | – | 0 | | |
| | | 8 | 4 | |
| | | – | 0 | |
| | | 8 | 4 | 6 |
STEP 9: DIVIDE 846 : 86 = 9 with a remainder of 72
|
| | | 0 | 0 | 9 |
| 8 | 6 | 8 | 4 | 6 |
| | – | 0 | | |
| | | 8 | 4 | |
| | | – | 0 | |
| | | 8 | 4 | 6 |
STEP 10: MULTIPLY 9 · 86 = 774
|
| | | 0 | 0 | 9 |
| 8 | 6 | 8 | 4 | 6 |
| | – | 0 | | |
| | | 8 | 4 | |
| | | – | 0 | |
| | | 8 | 4 | 6 |
| | | 7 | 7 | 4 |
STEP 11: SUBTRACT 846 - 774 = 72
|
| | | 0 | 0 | 9 |
| 8 | 6 | 8 | 4 | 6 |
| | – | 0 | | |
| | | 8 | 4 | |
| | | – | 0 | |
| | | 8 | 4 | 6 |
| | – | 7 | 7 | 4 |
| | | | 7 | 2 |
STEP 11: SUBTRACT 846 - 774 = 72
|
| | | 0 | 0 | 9 |
| 8 | 6 | 8 | 4 | 6 |
| | – | 0 | | |
| | | 8 | 4 | |
| | | – | 0 | |
| | | 8 | 4 | 6 |
| | – | 7 | 7 | 4 |
| | | | 7 | 2 |
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