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Question
What is the quotient and remainder when $ 287 $ is divided by $ 4 $ ?
Answer
The quotient is 71 and the remainder is 3.
Explanation
|
Division Table
|
| | 0 | 7 | 1 |
| 4 | 2 | 8 | 7 |
| – | 0 | | |
| | 2 | 8 | |
| – | 2 | 8 | |
| | | 7 | |
| | – | 4 | |
| | | 3 | |
STEP 0: set up a division table
|
| | | | |
| 4 | 2 | 8 | 7 |
STEP 1: DIVIDE 2 : 4 = 0 with a remainder of 2
|
| | 0 | | |
| 4 | 2 | 8 | 7 |
STEP 2: MULTIPLY 0 · 4 = 0
|
| | 0 | | |
| 4 | 2 | 8 | 7 |
| | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | |
| 4 | 2 | 8 | 7 |
| – | 0 | | |
| | 2 | | |
|
STEP 4: BRING DOWN
|
| | 0 | | |
| 4 | 2 | 8 | 7 |
| – | 0 | | |
| | 2 | 8 | |
STEP 5: DIVIDE 28 : 4 = 7 with a remainder of 0
|
| | 0 | 7 | |
| 4 | 2 | 8 | 7 |
| – | 0 | | |
| | 2 | 8 | |
STEP 6: MULTIPLY 7 · 4 = 28
|
| | 0 | 7 | |
| 4 | 2 | 8 | 7 |
| – | 0 | | |
| | 2 | 8 | |
| | 2 | 8 | |
STEP 7: SUBTRACT 28 - 28 = 0
|
| | 0 | 7 | |
| 4 | 2 | 8 | 7 |
| – | 0 | | |
| | 2 | 8 | |
| – | 2 | 8 | |
| | | 0 | |
|
STEP 8: BRING DOWN
|
| | 0 | 7 | |
| 4 | 2 | 8 | 7 |
| – | 0 | | |
| | 2 | 8 | |
| – | 2 | 8 | |
| | | 7 | |
STEP 9: DIVIDE 7 : 4 = 1 with a remainder of 3
|
| | 0 | 7 | 1 |
| 4 | 2 | 8 | 7 |
| – | 0 | | |
| | 2 | 8 | |
| – | 2 | 8 | |
| | | 7 | |
STEP 10: MULTIPLY 1 · 4 = 4
|
| | 0 | 7 | 1 |
| 4 | 2 | 8 | 7 |
| – | 0 | | |
| | 2 | 8 | |
| – | 2 | 8 | |
| | | 7 | |
| | | 4 | |
STEP 11: SUBTRACT 7 - 4 = 3
|
| | 0 | 7 | 1 |
| 4 | 2 | 8 | 7 |
| – | 0 | | |
| | 2 | 8 | |
| – | 2 | 8 | |
| | | 7 | |
| | – | 4 | |
| | | 3 | |
STEP 11: SUBTRACT 7 - 4 = 3
|
| | 0 | 7 | 1 |
| 4 | 2 | 8 | 7 |
| – | 0 | | |
| | 2 | 8 | |
| – | 2 | 8 | |
| | | 7 | |
| | – | 4 | |
| | | 3 | |
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