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Question
What is the quotient and remainder when $ 76179 $ is divided by $ 6 $ ?
Answer
The quotient is 12696 and the remainder is 3.
Explanation
|
Division Table
|
| | 1 | 2 | 6 | 9 | 6 |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
| – | 1 | 2 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
| | | – | 5 | 4 | |
| | | | | 3 | 9 |
| | | | – | 3 | 6 |
| | | | | | 3 |
STEP 0: set up a division table
|
| | | | | | |
| 6 | 7 | 6 | 1 | 7 | 9 |
STEP 1: DIVIDE 7 : 6 = 1 with a remainder of 1
|
| | 1 | | | | |
| 6 | 7 | 6 | 1 | 7 | 9 |
STEP 2: MULTIPLY 1 · 6 = 6
|
| | 1 | | | | |
| 6 | 7 | 6 | 1 | 7 | 9 |
| | 6 | | | | |
STEP 3: SUBTRACT 7 - 6 = 1
|
| | 1 | | | | |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | | | | |
|
STEP 4: BRING DOWN
|
| | 1 | | | | |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
STEP 5: DIVIDE 16 : 6 = 2 with a remainder of 4
|
| | 1 | 2 | | | |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
STEP 6: MULTIPLY 2 · 6 = 12
|
| | 1 | 2 | | | |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
| | 1 | 2 | | | |
STEP 7: SUBTRACT 16 - 12 = 4
|
| | 1 | 2 | | | |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
| – | 1 | 2 | | | |
| | | 4 | | | |
|
STEP 8: BRING DOWN
|
| | 1 | 2 | | | |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
| – | 1 | 2 | | | |
| | | 4 | 1 | | |
STEP 9: DIVIDE 41 : 6 = 6 with a remainder of 5
|
| | 1 | 2 | 6 | | |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
| – | 1 | 2 | | | |
| | | 4 | 1 | | |
STEP 10: MULTIPLY 6 · 6 = 36
|
| | 1 | 2 | 6 | | |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
| – | 1 | 2 | | | |
| | | 4 | 1 | | |
| | | 3 | 6 | | |
STEP 11: SUBTRACT 41 - 36 = 5
|
| | 1 | 2 | 6 | | |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
| – | 1 | 2 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | | |
|
STEP 12: BRING DOWN
|
| | 1 | 2 | 6 | | |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
| – | 1 | 2 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
STEP 13: DIVIDE 57 : 6 = 9 with a remainder of 3
|
| | 1 | 2 | 6 | 9 | |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
| – | 1 | 2 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
STEP 14: MULTIPLY 9 · 6 = 54
|
| | 1 | 2 | 6 | 9 | |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
| – | 1 | 2 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
| | | | 5 | 4 | |
STEP 15: SUBTRACT 57 - 54 = 3
|
| | 1 | 2 | 6 | 9 | |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
| – | 1 | 2 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
| | | – | 5 | 4 | |
| | | | | 3 | |
|
STEP 16: BRING DOWN
|
| | 1 | 2 | 6 | 9 | |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
| – | 1 | 2 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
| | | – | 5 | 4 | |
| | | | | 3 | 9 |
STEP 17: DIVIDE 39 : 6 = 6 with a remainder of 3
|
| | 1 | 2 | 6 | 9 | 6 |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
| – | 1 | 2 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
| | | – | 5 | 4 | |
| | | | | 3 | 9 |
STEP 18: MULTIPLY 6 · 6 = 36
|
| | 1 | 2 | 6 | 9 | 6 |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
| – | 1 | 2 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
| | | – | 5 | 4 | |
| | | | | 3 | 9 |
| | | | | 3 | 6 |
STEP 19: SUBTRACT 39 - 36 = 3
|
| | 1 | 2 | 6 | 9 | 6 |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
| – | 1 | 2 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
| | | – | 5 | 4 | |
| | | | | 3 | 9 |
| | | | – | 3 | 6 |
| | | | | | 3 |
STEP 19: SUBTRACT 39 - 36 = 3
|
| | 1 | 2 | 6 | 9 | 6 |
| 6 | 7 | 6 | 1 | 7 | 9 |
| – | 6 | | | | |
| | 1 | 6 | | | |
| – | 1 | 2 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
| | | – | 5 | 4 | |
| | | | | 3 | 9 |
| | | | – | 3 | 6 |
| | | | | | 3 |
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