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Question
What is the quotient and remainder when $ 378 $ is divided by $ 6 $ ?
Answer
The quotient is 63 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 6 | 3 |
| 6 | 3 | 7 | 8 |
| – | 0 | | |
| | 3 | 7 | |
| – | 3 | 6 | |
| | | 1 | 8 |
| | – | 1 | 8 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
| 6 | 3 | 7 | 8 |
STEP 1: DIVIDE 3 : 6 = 0 with a remainder of 3
|
| | 0 | | |
| 6 | 3 | 7 | 8 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| | 0 | | |
| 6 | 3 | 7 | 8 |
| | 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | |
| 6 | 3 | 7 | 8 |
| – | 0 | | |
| | 3 | | |
|
STEP 4: BRING DOWN
|
| | 0 | | |
| 6 | 3 | 7 | 8 |
| – | 0 | | |
| | 3 | 7 | |
STEP 5: DIVIDE 37 : 6 = 6 with a remainder of 1
|
| | 0 | 6 | |
| 6 | 3 | 7 | 8 |
| – | 0 | | |
| | 3 | 7 | |
STEP 6: MULTIPLY 6 · 6 = 36
|
| | 0 | 6 | |
| 6 | 3 | 7 | 8 |
| – | 0 | | |
| | 3 | 7 | |
| | 3 | 6 | |
STEP 7: SUBTRACT 37 - 36 = 1
|
| | 0 | 6 | |
| 6 | 3 | 7 | 8 |
| – | 0 | | |
| | 3 | 7 | |
| – | 3 | 6 | |
| | | 1 | |
|
STEP 8: BRING DOWN
|
| | 0 | 6 | |
| 6 | 3 | 7 | 8 |
| – | 0 | | |
| | 3 | 7 | |
| – | 3 | 6 | |
| | | 1 | 8 |
STEP 9: DIVIDE 18 : 6 = 3 with a remainder of 0
|
| | 0 | 6 | 3 |
| 6 | 3 | 7 | 8 |
| – | 0 | | |
| | 3 | 7 | |
| – | 3 | 6 | |
| | | 1 | 8 |
STEP 10: MULTIPLY 3 · 6 = 18
|
| | 0 | 6 | 3 |
| 6 | 3 | 7 | 8 |
| – | 0 | | |
| | 3 | 7 | |
| – | 3 | 6 | |
| | | 1 | 8 |
| | | 1 | 8 |
STEP 11: SUBTRACT 18 - 18 = 0
|
| | 0 | 6 | 3 |
| 6 | 3 | 7 | 8 |
| – | 0 | | |
| | 3 | 7 | |
| – | 3 | 6 | |
| | | 1 | 8 |
| | – | 1 | 8 |
| | | | 0 |
STEP 11: SUBTRACT 18 - 18 = 0
|
| | 0 | 6 | 3 |
| 6 | 3 | 7 | 8 |
| – | 0 | | |
| | 3 | 7 | |
| – | 3 | 6 | |
| | | 1 | 8 |
| | – | 1 | 8 |
| | | | 0 |
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