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Question
What is the quotient and remainder when $ 2414 $ is divided by $ 3 $ ?
Answer
The quotient is 804 and the remainder is 2.
Explanation
Division Table
|
| 0 | 8 | 0 | 4 |
3 | 2 | 4 | 1 | 4 |
– | 0 | | | |
| 2 | 4 | | |
– | 2 | 4 | | |
| | 1 | | |
| – | 0 | | |
| | 1 | 4 | |
| – | 1 | 2 | |
| | | 2 | |
STEP 0: set up a division table
|
| | | | |
3 | 2 | 4 | 1 | 4 |
STEP 1: DIVIDE 2 : 3 = 0 with a remainder of 2
|
| 0 | | | |
3 | 2 | 4 | 1 | 4 |
STEP 2: MULTIPLY 0 · 3 = 0
|
| 0 | | | |
3 | 2 | 4 | 1 | 4 |
| 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| 0 | | | |
3 | 2 | 4 | 1 | 4 |
– | 0 | | | |
| 2 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
3 | 2 | 4 | 1 | 4 |
– | 0 | | | |
| 2 | 4 | | |
STEP 5: DIVIDE 24 : 3 = 8 with a remainder of 0
|
| 0 | 8 | | |
3 | 2 | 4 | 1 | 4 |
– | 0 | | | |
| 2 | 4 | | |
STEP 6: MULTIPLY 8 · 3 = 24
|
| 0 | 8 | | |
3 | 2 | 4 | 1 | 4 |
– | 0 | | | |
| 2 | 4 | | |
| 2 | 4 | | |
STEP 7: SUBTRACT 24 - 24 = 0
|
| 0 | 8 | | |
3 | 2 | 4 | 1 | 4 |
– | 0 | | | |
| 2 | 4 | | |
– | 2 | 4 | | |
| | 0 | | |
STEP 8: BRING DOWN
|
| 0 | 8 | | |
3 | 2 | 4 | 1 | 4 |
– | 0 | | | |
| 2 | 4 | | |
– | 2 | 4 | | |
| | 1 | | |
STEP 9: DIVIDE 1 : 3 = 0 with a remainder of 1
|
| 0 | 8 | 0 | |
3 | 2 | 4 | 1 | 4 |
– | 0 | | | |
| 2 | 4 | | |
– | 2 | 4 | | |
| | 1 | | |
STEP 10: MULTIPLY 0 · 3 = 0
|
| 0 | 8 | 0 | |
3 | 2 | 4 | 1 | 4 |
– | 0 | | | |
| 2 | 4 | | |
– | 2 | 4 | | |
| | 1 | | |
| | 0 | | |
STEP 11: SUBTRACT 1 - 0 = 1
|
| 0 | 8 | 0 | |
3 | 2 | 4 | 1 | 4 |
– | 0 | | | |
| 2 | 4 | | |
– | 2 | 4 | | |
| | 1 | | |
| – | 0 | | |
| | 1 | | |
STEP 12: BRING DOWN
|
| 0 | 8 | 0 | |
3 | 2 | 4 | 1 | 4 |
– | 0 | | | |
| 2 | 4 | | |
– | 2 | 4 | | |
| | 1 | | |
| – | 0 | | |
| | 1 | 4 | |
STEP 13: DIVIDE 14 : 3 = 4 with a remainder of 2
|
| 0 | 8 | 0 | 4 |
3 | 2 | 4 | 1 | 4 |
– | 0 | | | |
| 2 | 4 | | |
– | 2 | 4 | | |
| | 1 | | |
| – | 0 | | |
| | 1 | 4 | |
STEP 14: MULTIPLY 4 · 3 = 12
|
| 0 | 8 | 0 | 4 |
3 | 2 | 4 | 1 | 4 |
– | 0 | | | |
| 2 | 4 | | |
– | 2 | 4 | | |
| | 1 | | |
| – | 0 | | |
| | 1 | 4 | |
| | 1 | 2 | |
STEP 15: SUBTRACT 14 - 12 = 2
|
| 0 | 8 | 0 | 4 |
3 | 2 | 4 | 1 | 4 |
– | 0 | | | |
| 2 | 4 | | |
– | 2 | 4 | | |
| | 1 | | |
| – | 0 | | |
| | 1 | 4 | |
| – | 1 | 2 | |
| | | 2 | |
STEP 15: SUBTRACT 14 - 12 = 2
|
| 0 | 8 | 0 | 4 |
3 | 2 | 4 | 1 | 4 |
– | 0 | | | |
| 2 | 4 | | |
– | 2 | 4 | | |
| | 1 | | |
| – | 0 | | |
| | 1 | 4 | |
| – | 1 | 2 | |
| | | 2 | |
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