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Question
What is the quotient and remainder when $ 312 $ is divided by $ 4 $ ?
Answer
The quotient is 78 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 7 | 8 |
| 4 | 3 | 1 | 2 |
| – | 0 | | |
| | 3 | 1 | |
| – | 2 | 8 | |
| | | 3 | 2 |
| | – | 3 | 2 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
| 4 | 3 | 1 | 2 |
STEP 1: DIVIDE 3 : 4 = 0 with a remainder of 3
|
| | 0 | | |
| 4 | 3 | 1 | 2 |
STEP 2: MULTIPLY 0 · 4 = 0
|
| | 0 | | |
| 4 | 3 | 1 | 2 |
| | 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | |
| 4 | 3 | 1 | 2 |
| – | 0 | | |
| | 3 | | |
|
STEP 4: BRING DOWN
|
| | 0 | | |
| 4 | 3 | 1 | 2 |
| – | 0 | | |
| | 3 | 1 | |
STEP 5: DIVIDE 31 : 4 = 7 with a remainder of 3
|
| | 0 | 7 | |
| 4 | 3 | 1 | 2 |
| – | 0 | | |
| | 3 | 1 | |
STEP 6: MULTIPLY 7 · 4 = 28
|
| | 0 | 7 | |
| 4 | 3 | 1 | 2 |
| – | 0 | | |
| | 3 | 1 | |
| | 2 | 8 | |
STEP 7: SUBTRACT 31 - 28 = 3
|
| | 0 | 7 | |
| 4 | 3 | 1 | 2 |
| – | 0 | | |
| | 3 | 1 | |
| – | 2 | 8 | |
| | | 3 | |
|
STEP 8: BRING DOWN
|
| | 0 | 7 | |
| 4 | 3 | 1 | 2 |
| – | 0 | | |
| | 3 | 1 | |
| – | 2 | 8 | |
| | | 3 | 2 |
STEP 9: DIVIDE 32 : 4 = 8 with a remainder of 0
|
| | 0 | 7 | 8 |
| 4 | 3 | 1 | 2 |
| – | 0 | | |
| | 3 | 1 | |
| – | 2 | 8 | |
| | | 3 | 2 |
STEP 10: MULTIPLY 8 · 4 = 32
|
| | 0 | 7 | 8 |
| 4 | 3 | 1 | 2 |
| – | 0 | | |
| | 3 | 1 | |
| – | 2 | 8 | |
| | | 3 | 2 |
| | | 3 | 2 |
STEP 11: SUBTRACT 32 - 32 = 0
|
| | 0 | 7 | 8 |
| 4 | 3 | 1 | 2 |
| – | 0 | | |
| | 3 | 1 | |
| – | 2 | 8 | |
| | | 3 | 2 |
| | – | 3 | 2 |
| | | | 0 |
STEP 11: SUBTRACT 32 - 32 = 0
|
| | 0 | 7 | 8 |
| 4 | 3 | 1 | 2 |
| – | 0 | | |
| | 3 | 1 | |
| – | 2 | 8 | |
| | | 3 | 2 |
| | – | 3 | 2 |
| | | | 0 |
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