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Question
What is the quotient and remainder when $ 3094 $ is divided by $ 8 $ ?
Answer
The quotient is 386 and the remainder is 6.
Explanation
|
Division Table
|
| | 0 | 3 | 8 | 6 |
| 8 | 3 | 0 | 9 | 4 |
| – | 0 | | | |
| | 3 | 0 | | |
| – | 2 | 4 | | |
| | | 6 | 9 | |
| | – | 6 | 4 | |
| | | | 5 | 4 |
| | | – | 4 | 8 |
| | | | | 6 |
STEP 0: set up a division table
|
| | | | | |
| 8 | 3 | 0 | 9 | 4 |
STEP 1: DIVIDE 3 : 8 = 0 with a remainder of 3
|
| | 0 | | | |
| 8 | 3 | 0 | 9 | 4 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| | 0 | | | |
| 8 | 3 | 0 | 9 | 4 |
| | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | | |
| 8 | 3 | 0 | 9 | 4 |
| – | 0 | | | |
| | 3 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 8 | 3 | 0 | 9 | 4 |
| – | 0 | | | |
| | 3 | 0 | | |
STEP 5: DIVIDE 30 : 8 = 3 with a remainder of 6
|
| | 0 | 3 | | |
| 8 | 3 | 0 | 9 | 4 |
| – | 0 | | | |
| | 3 | 0 | | |
STEP 6: MULTIPLY 3 · 8 = 24
|
| | 0 | 3 | | |
| 8 | 3 | 0 | 9 | 4 |
| – | 0 | | | |
| | 3 | 0 | | |
| | 2 | 4 | | |
STEP 7: SUBTRACT 30 - 24 = 6
|
| | 0 | 3 | | |
| 8 | 3 | 0 | 9 | 4 |
| – | 0 | | | |
| | 3 | 0 | | |
| – | 2 | 4 | | |
| | | 6 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 3 | | |
| 8 | 3 | 0 | 9 | 4 |
| – | 0 | | | |
| | 3 | 0 | | |
| – | 2 | 4 | | |
| | | 6 | 9 | |
STEP 9: DIVIDE 69 : 8 = 8 with a remainder of 5
|
| | 0 | 3 | 8 | |
| 8 | 3 | 0 | 9 | 4 |
| – | 0 | | | |
| | 3 | 0 | | |
| – | 2 | 4 | | |
| | | 6 | 9 | |
STEP 10: MULTIPLY 8 · 8 = 64
|
| | 0 | 3 | 8 | |
| 8 | 3 | 0 | 9 | 4 |
| – | 0 | | | |
| | 3 | 0 | | |
| – | 2 | 4 | | |
| | | 6 | 9 | |
| | | 6 | 4 | |
STEP 11: SUBTRACT 69 - 64 = 5
|
| | 0 | 3 | 8 | |
| 8 | 3 | 0 | 9 | 4 |
| – | 0 | | | |
| | 3 | 0 | | |
| – | 2 | 4 | | |
| | | 6 | 9 | |
| | – | 6 | 4 | |
| | | | 5 | |
|
STEP 12: BRING DOWN
|
| | 0 | 3 | 8 | |
| 8 | 3 | 0 | 9 | 4 |
| – | 0 | | | |
| | 3 | 0 | | |
| – | 2 | 4 | | |
| | | 6 | 9 | |
| | – | 6 | 4 | |
| | | | 5 | 4 |
STEP 13: DIVIDE 54 : 8 = 6 with a remainder of 6
|
| | 0 | 3 | 8 | 6 |
| 8 | 3 | 0 | 9 | 4 |
| – | 0 | | | |
| | 3 | 0 | | |
| – | 2 | 4 | | |
| | | 6 | 9 | |
| | – | 6 | 4 | |
| | | | 5 | 4 |
STEP 14: MULTIPLY 6 · 8 = 48
|
| | 0 | 3 | 8 | 6 |
| 8 | 3 | 0 | 9 | 4 |
| – | 0 | | | |
| | 3 | 0 | | |
| – | 2 | 4 | | |
| | | 6 | 9 | |
| | – | 6 | 4 | |
| | | | 5 | 4 |
| | | | 4 | 8 |
STEP 15: SUBTRACT 54 - 48 = 6
|
| | 0 | 3 | 8 | 6 |
| 8 | 3 | 0 | 9 | 4 |
| – | 0 | | | |
| | 3 | 0 | | |
| – | 2 | 4 | | |
| | | 6 | 9 | |
| | – | 6 | 4 | |
| | | | 5 | 4 |
| | | – | 4 | 8 |
| | | | | 6 |
STEP 15: SUBTRACT 54 - 48 = 6
|
| | 0 | 3 | 8 | 6 |
| 8 | 3 | 0 | 9 | 4 |
| – | 0 | | | |
| | 3 | 0 | | |
| – | 2 | 4 | | |
| | | 6 | 9 | |
| | – | 6 | 4 | |
| | | | 5 | 4 |
| | | – | 4 | 8 |
| | | | | 6 |
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