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Question
What is the quotient and remainder when $ 348 $ is divided by $ 6 $ ?
Answer
The quotient is 58 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 5 | 8 |
| 6 | 3 | 4 | 8 |
| – | 0 | | |
| | 3 | 4 | |
| – | 3 | 0 | |
| | | 4 | 8 |
| | – | 4 | 8 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
| 6 | 3 | 4 | 8 |
STEP 1: DIVIDE 3 : 6 = 0 with a remainder of 3
|
| | 0 | | |
| 6 | 3 | 4 | 8 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| | 0 | | |
| 6 | 3 | 4 | 8 |
| | 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | |
| 6 | 3 | 4 | 8 |
| – | 0 | | |
| | 3 | | |
|
STEP 4: BRING DOWN
|
| | 0 | | |
| 6 | 3 | 4 | 8 |
| – | 0 | | |
| | 3 | 4 | |
STEP 5: DIVIDE 34 : 6 = 5 with a remainder of 4
|
| | 0 | 5 | |
| 6 | 3 | 4 | 8 |
| – | 0 | | |
| | 3 | 4 | |
STEP 6: MULTIPLY 5 · 6 = 30
|
| | 0 | 5 | |
| 6 | 3 | 4 | 8 |
| – | 0 | | |
| | 3 | 4 | |
| | 3 | 0 | |
STEP 7: SUBTRACT 34 - 30 = 4
|
| | 0 | 5 | |
| 6 | 3 | 4 | 8 |
| – | 0 | | |
| | 3 | 4 | |
| – | 3 | 0 | |
| | | 4 | |
|
STEP 8: BRING DOWN
|
| | 0 | 5 | |
| 6 | 3 | 4 | 8 |
| – | 0 | | |
| | 3 | 4 | |
| – | 3 | 0 | |
| | | 4 | 8 |
STEP 9: DIVIDE 48 : 6 = 8 with a remainder of 0
|
| | 0 | 5 | 8 |
| 6 | 3 | 4 | 8 |
| – | 0 | | |
| | 3 | 4 | |
| – | 3 | 0 | |
| | | 4 | 8 |
STEP 10: MULTIPLY 8 · 6 = 48
|
| | 0 | 5 | 8 |
| 6 | 3 | 4 | 8 |
| – | 0 | | |
| | 3 | 4 | |
| – | 3 | 0 | |
| | | 4 | 8 |
| | | 4 | 8 |
STEP 11: SUBTRACT 48 - 48 = 0
|
| | 0 | 5 | 8 |
| 6 | 3 | 4 | 8 |
| – | 0 | | |
| | 3 | 4 | |
| – | 3 | 0 | |
| | | 4 | 8 |
| | – | 4 | 8 |
| | | | 0 |
STEP 11: SUBTRACT 48 - 48 = 0
|
| | 0 | 5 | 8 |
| 6 | 3 | 4 | 8 |
| – | 0 | | |
| | 3 | 4 | |
| – | 3 | 0 | |
| | | 4 | 8 |
| | – | 4 | 8 |
| | | | 0 |
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