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Question
What is the quotient and remainder when $ 5712 $ is divided by $ 6 $ ?
Answer
The quotient is 952 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 9 | 5 | 2 |
| 6 | 5 | 7 | 1 | 2 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 1 | |
| | – | 3 | 0 | |
| | | | 1 | 2 |
| | | – | 1 | 2 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
| 6 | 5 | 7 | 1 | 2 |
STEP 1: DIVIDE 5 : 6 = 0 with a remainder of 5
|
| | 0 | | | |
| 6 | 5 | 7 | 1 | 2 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| | 0 | | | |
| 6 | 5 | 7 | 1 | 2 |
| | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | 0 | | | |
| 6 | 5 | 7 | 1 | 2 |
| – | 0 | | | |
| | 5 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 6 | 5 | 7 | 1 | 2 |
| – | 0 | | | |
| | 5 | 7 | | |
STEP 5: DIVIDE 57 : 6 = 9 with a remainder of 3
|
| | 0 | 9 | | |
| 6 | 5 | 7 | 1 | 2 |
| – | 0 | | | |
| | 5 | 7 | | |
STEP 6: MULTIPLY 9 · 6 = 54
|
| | 0 | 9 | | |
| 6 | 5 | 7 | 1 | 2 |
| – | 0 | | | |
| | 5 | 7 | | |
| | 5 | 4 | | |
STEP 7: SUBTRACT 57 - 54 = 3
|
| | 0 | 9 | | |
| 6 | 5 | 7 | 1 | 2 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 9 | | |
| 6 | 5 | 7 | 1 | 2 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 1 | |
STEP 9: DIVIDE 31 : 6 = 5 with a remainder of 1
|
| | 0 | 9 | 5 | |
| 6 | 5 | 7 | 1 | 2 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 1 | |
STEP 10: MULTIPLY 5 · 6 = 30
|
| | 0 | 9 | 5 | |
| 6 | 5 | 7 | 1 | 2 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 1 | |
| | | 3 | 0 | |
STEP 11: SUBTRACT 31 - 30 = 1
|
| | 0 | 9 | 5 | |
| 6 | 5 | 7 | 1 | 2 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 1 | |
| | – | 3 | 0 | |
| | | | 1 | |
|
STEP 12: BRING DOWN
|
| | 0 | 9 | 5 | |
| 6 | 5 | 7 | 1 | 2 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 1 | |
| | – | 3 | 0 | |
| | | | 1 | 2 |
STEP 13: DIVIDE 12 : 6 = 2 with a remainder of 0
|
| | 0 | 9 | 5 | 2 |
| 6 | 5 | 7 | 1 | 2 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 1 | |
| | – | 3 | 0 | |
| | | | 1 | 2 |
STEP 14: MULTIPLY 2 · 6 = 12
|
| | 0 | 9 | 5 | 2 |
| 6 | 5 | 7 | 1 | 2 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 1 | |
| | – | 3 | 0 | |
| | | | 1 | 2 |
| | | | 1 | 2 |
STEP 15: SUBTRACT 12 - 12 = 0
|
| | 0 | 9 | 5 | 2 |
| 6 | 5 | 7 | 1 | 2 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 1 | |
| | – | 3 | 0 | |
| | | | 1 | 2 |
| | | – | 1 | 2 |
| | | | | 0 |
STEP 15: SUBTRACT 12 - 12 = 0
|
| | 0 | 9 | 5 | 2 |
| 6 | 5 | 7 | 1 | 2 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 1 | |
| | – | 3 | 0 | |
| | | | 1 | 2 |
| | | – | 1 | 2 |
| | | | | 0 |
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