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Question
What is the quotient and remainder when $ 22176 $ is divided by $ 6 $ ?
Answer
The quotient is 3696 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 3 | 6 | 9 | 6 |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
| – | 1 | 8 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
| | | – | 5 | 4 | |
| | | | | 3 | 6 |
| | | | – | 3 | 6 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 6 | 2 | 2 | 1 | 7 | 6 |
STEP 1: DIVIDE 2 : 6 = 0 with a remainder of 2
|
| | 0 | | | | |
| 6 | 2 | 2 | 1 | 7 | 6 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| | 0 | | | | |
| 6 | 2 | 2 | 1 | 7 | 6 |
| | 0 | | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | | | |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | | |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
STEP 5: DIVIDE 22 : 6 = 3 with a remainder of 4
|
| | 0 | 3 | | | |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
STEP 6: MULTIPLY 3 · 6 = 18
|
| | 0 | 3 | | | |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
| | 1 | 8 | | | |
STEP 7: SUBTRACT 22 - 18 = 4
|
| | 0 | 3 | | | |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
| – | 1 | 8 | | | |
| | | 4 | | | |
|
STEP 8: BRING DOWN
|
| | 0 | 3 | | | |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
| – | 1 | 8 | | | |
| | | 4 | 1 | | |
STEP 9: DIVIDE 41 : 6 = 6 with a remainder of 5
|
| | 0 | 3 | 6 | | |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
| – | 1 | 8 | | | |
| | | 4 | 1 | | |
STEP 10: MULTIPLY 6 · 6 = 36
|
| | 0 | 3 | 6 | | |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
| – | 1 | 8 | | | |
| | | 4 | 1 | | |
| | | 3 | 6 | | |
STEP 11: SUBTRACT 41 - 36 = 5
|
| | 0 | 3 | 6 | | |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
| – | 1 | 8 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | | |
|
STEP 12: BRING DOWN
|
| | 0 | 3 | 6 | | |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
| – | 1 | 8 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
STEP 13: DIVIDE 57 : 6 = 9 with a remainder of 3
|
| | 0 | 3 | 6 | 9 | |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
| – | 1 | 8 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
STEP 14: MULTIPLY 9 · 6 = 54
|
| | 0 | 3 | 6 | 9 | |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
| – | 1 | 8 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
| | | | 5 | 4 | |
STEP 15: SUBTRACT 57 - 54 = 3
|
| | 0 | 3 | 6 | 9 | |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
| – | 1 | 8 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
| | | – | 5 | 4 | |
| | | | | 3 | |
|
STEP 16: BRING DOWN
|
| | 0 | 3 | 6 | 9 | |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
| – | 1 | 8 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
| | | – | 5 | 4 | |
| | | | | 3 | 6 |
STEP 17: DIVIDE 36 : 6 = 6 with a remainder of 0
|
| | 0 | 3 | 6 | 9 | 6 |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
| – | 1 | 8 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
| | | – | 5 | 4 | |
| | | | | 3 | 6 |
STEP 18: MULTIPLY 6 · 6 = 36
|
| | 0 | 3 | 6 | 9 | 6 |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
| – | 1 | 8 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
| | | – | 5 | 4 | |
| | | | | 3 | 6 |
| | | | | 3 | 6 |
STEP 19: SUBTRACT 36 - 36 = 0
|
| | 0 | 3 | 6 | 9 | 6 |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
| – | 1 | 8 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
| | | – | 5 | 4 | |
| | | | | 3 | 6 |
| | | | – | 3 | 6 |
| | | | | | 0 |
STEP 19: SUBTRACT 36 - 36 = 0
|
| | 0 | 3 | 6 | 9 | 6 |
| 6 | 2 | 2 | 1 | 7 | 6 |
| – | 0 | | | | |
| | 2 | 2 | | | |
| – | 1 | 8 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 7 | |
| | | – | 5 | 4 | |
| | | | | 3 | 6 |
| | | | – | 3 | 6 |
| | | | | | 0 |
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