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Question
What is the quotient and remainder when $ 378 $ is divided by $ 12 $ ?
Answer
The quotient is 31 and the remainder is 6.
Explanation
|
Division Table
|
| | | 0 | 3 | 1 |
| 1 | 2 | 3 | 7 | 8 |
| | – | 0 | | |
| | | 3 | 7 | |
| | – | 3 | 6 | |
| | | | 1 | 8 |
| | | – | 1 | 2 |
| | | | | 6 |
STEP 0: set up a division table
|
| | | | | |
| 1 | 2 | 3 | 7 | 8 |
STEP 1: DIVIDE 3 : 12 = 0 with a remainder of 3
|
| | | 0 | | |
| 1 | 2 | 3 | 7 | 8 |
STEP 2: MULTIPLY 0 · 12 = 0
|
| | | 0 | | |
| 1 | 2 | 3 | 7 | 8 |
| | | 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | 0 | | |
| 1 | 2 | 3 | 7 | 8 |
| | – | 0 | | |
| | | 3 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 1 | 2 | 3 | 7 | 8 |
| | – | 0 | | |
| | | 3 | 7 | |
STEP 5: DIVIDE 37 : 12 = 3 with a remainder of 1
|
| | | 0 | 3 | |
| 1 | 2 | 3 | 7 | 8 |
| | – | 0 | | |
| | | 3 | 7 | |
STEP 6: MULTIPLY 3 · 12 = 36
|
| | | 0 | 3 | |
| 1 | 2 | 3 | 7 | 8 |
| | – | 0 | | |
| | | 3 | 7 | |
| | | 3 | 6 | |
STEP 7: SUBTRACT 37 - 36 = 1
|
| | | 0 | 3 | |
| 1 | 2 | 3 | 7 | 8 |
| | – | 0 | | |
| | | 3 | 7 | |
| | – | 3 | 6 | |
| | | | 1 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 3 | |
| 1 | 2 | 3 | 7 | 8 |
| | – | 0 | | |
| | | 3 | 7 | |
| | – | 3 | 6 | |
| | | | 1 | 8 |
STEP 9: DIVIDE 18 : 12 = 1 with a remainder of 6
|
| | | 0 | 3 | 1 |
| 1 | 2 | 3 | 7 | 8 |
| | – | 0 | | |
| | | 3 | 7 | |
| | – | 3 | 6 | |
| | | | 1 | 8 |
STEP 10: MULTIPLY 1 · 12 = 12
|
| | | 0 | 3 | 1 |
| 1 | 2 | 3 | 7 | 8 |
| | – | 0 | | |
| | | 3 | 7 | |
| | – | 3 | 6 | |
| | | | 1 | 8 |
| | | | 1 | 2 |
STEP 11: SUBTRACT 18 - 12 = 6
|
| | | 0 | 3 | 1 |
| 1 | 2 | 3 | 7 | 8 |
| | – | 0 | | |
| | | 3 | 7 | |
| | – | 3 | 6 | |
| | | | 1 | 8 |
| | | – | 1 | 2 |
| | | | | 6 |
STEP 11: SUBTRACT 18 - 12 = 6
|
| | | 0 | 3 | 1 |
| 1 | 2 | 3 | 7 | 8 |
| | – | 0 | | |
| | | 3 | 7 | |
| | – | 3 | 6 | |
| | | | 1 | 8 |
| | | – | 1 | 2 |
| | | | | 6 |
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