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Question
What is the quotient and remainder when $ 280 $ is divided by $ 6 $ ?
Answer
The quotient is 46 and the remainder is 4.
Explanation
|
Division Table
|
| | 0 | 4 | 6 |
| 6 | 2 | 8 | 0 |
| – | 0 | | |
| | 2 | 8 | |
| – | 2 | 4 | |
| | | 4 | 0 |
| | – | 3 | 6 |
| | | | 4 |
STEP 0: set up a division table
|
| | | | |
| 6 | 2 | 8 | 0 |
STEP 1: DIVIDE 2 : 6 = 0 with a remainder of 2
|
| | 0 | | |
| 6 | 2 | 8 | 0 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| | 0 | | |
| 6 | 2 | 8 | 0 |
| | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | |
| 6 | 2 | 8 | 0 |
| – | 0 | | |
| | 2 | | |
|
STEP 4: BRING DOWN
|
| | 0 | | |
| 6 | 2 | 8 | 0 |
| – | 0 | | |
| | 2 | 8 | |
STEP 5: DIVIDE 28 : 6 = 4 with a remainder of 4
|
| | 0 | 4 | |
| 6 | 2 | 8 | 0 |
| – | 0 | | |
| | 2 | 8 | |
STEP 6: MULTIPLY 4 · 6 = 24
|
| | 0 | 4 | |
| 6 | 2 | 8 | 0 |
| – | 0 | | |
| | 2 | 8 | |
| | 2 | 4 | |
STEP 7: SUBTRACT 28 - 24 = 4
|
| | 0 | 4 | |
| 6 | 2 | 8 | 0 |
| – | 0 | | |
| | 2 | 8 | |
| – | 2 | 4 | |
| | | 4 | |
|
STEP 8: BRING DOWN
|
| | 0 | 4 | |
| 6 | 2 | 8 | 0 |
| – | 0 | | |
| | 2 | 8 | |
| – | 2 | 4 | |
| | | 4 | 0 |
STEP 9: DIVIDE 40 : 6 = 6 with a remainder of 4
|
| | 0 | 4 | 6 |
| 6 | 2 | 8 | 0 |
| – | 0 | | |
| | 2 | 8 | |
| – | 2 | 4 | |
| | | 4 | 0 |
STEP 10: MULTIPLY 6 · 6 = 36
|
| | 0 | 4 | 6 |
| 6 | 2 | 8 | 0 |
| – | 0 | | |
| | 2 | 8 | |
| – | 2 | 4 | |
| | | 4 | 0 |
| | | 3 | 6 |
STEP 11: SUBTRACT 40 - 36 = 4
|
| | 0 | 4 | 6 |
| 6 | 2 | 8 | 0 |
| – | 0 | | |
| | 2 | 8 | |
| – | 2 | 4 | |
| | | 4 | 0 |
| | – | 3 | 6 |
| | | | 4 |
STEP 11: SUBTRACT 40 - 36 = 4
|
| | 0 | 4 | 6 |
| 6 | 2 | 8 | 0 |
| – | 0 | | |
| | 2 | 8 | |
| – | 2 | 4 | |
| | | 4 | 0 |
| | – | 3 | 6 |
| | | | 4 |
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