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Question
What is the quotient and remainder when $ 6074 $ is divided by $ 7 $ ?
Answer
The quotient is 867 and the remainder is 5.
Explanation
|
Division Table
|
| | 0 | 8 | 6 | 7 |
| 7 | 6 | 0 | 7 | 4 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 6 | | |
| | | 4 | 7 | |
| | – | 4 | 2 | |
| | | | 5 | 4 |
| | | – | 4 | 9 |
| | | | | 5 |
STEP 0: set up a division table
|
| | | | | |
| 7 | 6 | 0 | 7 | 4 |
STEP 1: DIVIDE 6 : 7 = 0 with a remainder of 6
|
| | 0 | | | |
| 7 | 6 | 0 | 7 | 4 |
STEP 2: MULTIPLY 0 · 7 = 0
|
| | 0 | | | |
| 7 | 6 | 0 | 7 | 4 |
| | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | | |
| 7 | 6 | 0 | 7 | 4 |
| – | 0 | | | |
| | 6 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 7 | 6 | 0 | 7 | 4 |
| – | 0 | | | |
| | 6 | 0 | | |
STEP 5: DIVIDE 60 : 7 = 8 with a remainder of 4
|
| | 0 | 8 | | |
| 7 | 6 | 0 | 7 | 4 |
| – | 0 | | | |
| | 6 | 0 | | |
STEP 6: MULTIPLY 8 · 7 = 56
|
| | 0 | 8 | | |
| 7 | 6 | 0 | 7 | 4 |
| – | 0 | | | |
| | 6 | 0 | | |
| | 5 | 6 | | |
STEP 7: SUBTRACT 60 - 56 = 4
|
| | 0 | 8 | | |
| 7 | 6 | 0 | 7 | 4 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 6 | | |
| | | 4 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 8 | | |
| 7 | 6 | 0 | 7 | 4 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 6 | | |
| | | 4 | 7 | |
STEP 9: DIVIDE 47 : 7 = 6 with a remainder of 5
|
| | 0 | 8 | 6 | |
| 7 | 6 | 0 | 7 | 4 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 6 | | |
| | | 4 | 7 | |
STEP 10: MULTIPLY 6 · 7 = 42
|
| | 0 | 8 | 6 | |
| 7 | 6 | 0 | 7 | 4 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 6 | | |
| | | 4 | 7 | |
| | | 4 | 2 | |
STEP 11: SUBTRACT 47 - 42 = 5
|
| | 0 | 8 | 6 | |
| 7 | 6 | 0 | 7 | 4 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 6 | | |
| | | 4 | 7 | |
| | – | 4 | 2 | |
| | | | 5 | |
|
STEP 12: BRING DOWN
|
| | 0 | 8 | 6 | |
| 7 | 6 | 0 | 7 | 4 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 6 | | |
| | | 4 | 7 | |
| | – | 4 | 2 | |
| | | | 5 | 4 |
STEP 13: DIVIDE 54 : 7 = 7 with a remainder of 5
|
| | 0 | 8 | 6 | 7 |
| 7 | 6 | 0 | 7 | 4 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 6 | | |
| | | 4 | 7 | |
| | – | 4 | 2 | |
| | | | 5 | 4 |
STEP 14: MULTIPLY 7 · 7 = 49
|
| | 0 | 8 | 6 | 7 |
| 7 | 6 | 0 | 7 | 4 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 6 | | |
| | | 4 | 7 | |
| | – | 4 | 2 | |
| | | | 5 | 4 |
| | | | 4 | 9 |
STEP 15: SUBTRACT 54 - 49 = 5
|
| | 0 | 8 | 6 | 7 |
| 7 | 6 | 0 | 7 | 4 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 6 | | |
| | | 4 | 7 | |
| | – | 4 | 2 | |
| | | | 5 | 4 |
| | | – | 4 | 9 |
| | | | | 5 |
STEP 15: SUBTRACT 54 - 49 = 5
|
| | 0 | 8 | 6 | 7 |
| 7 | 6 | 0 | 7 | 4 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 6 | | |
| | | 4 | 7 | |
| | – | 4 | 2 | |
| | | | 5 | 4 |
| | | – | 4 | 9 |
| | | | | 5 |
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