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Question
What is the quotient and remainder when $ 8319 $ is divided by $ 6 $ ?
Answer
The quotient is 1386 and the remainder is 3.
Explanation
|
Division Table
|
| | 1 | 3 | 8 | 6 |
| 6 | 8 | 3 | 1 | 9 |
| – | 6 | | | |
| | 2 | 3 | | |
| – | 1 | 8 | | |
| | | 5 | 1 | |
| | – | 4 | 8 | |
| | | | 3 | 9 |
| | | – | 3 | 6 |
| | | | | 3 |
STEP 0: set up a division table
|
| | | | | |
| 6 | 8 | 3 | 1 | 9 |
STEP 1: DIVIDE 8 : 6 = 1 with a remainder of 2
|
| | 1 | | | |
| 6 | 8 | 3 | 1 | 9 |
STEP 2: MULTIPLY 1 · 6 = 6
|
| | 1 | | | |
| 6 | 8 | 3 | 1 | 9 |
| | 6 | | | |
STEP 3: SUBTRACT 8 - 6 = 2
|
| | 1 | | | |
| 6 | 8 | 3 | 1 | 9 |
| – | 6 | | | |
| | 2 | | | |
|
STEP 4: BRING DOWN
|
| | 1 | | | |
| 6 | 8 | 3 | 1 | 9 |
| – | 6 | | | |
| | 2 | 3 | | |
STEP 5: DIVIDE 23 : 6 = 3 with a remainder of 5
|
| | 1 | 3 | | |
| 6 | 8 | 3 | 1 | 9 |
| – | 6 | | | |
| | 2 | 3 | | |
STEP 6: MULTIPLY 3 · 6 = 18
|
| | 1 | 3 | | |
| 6 | 8 | 3 | 1 | 9 |
| – | 6 | | | |
| | 2 | 3 | | |
| | 1 | 8 | | |
STEP 7: SUBTRACT 23 - 18 = 5
|
| | 1 | 3 | | |
| 6 | 8 | 3 | 1 | 9 |
| – | 6 | | | |
| | 2 | 3 | | |
| – | 1 | 8 | | |
| | | 5 | | |
|
STEP 8: BRING DOWN
|
| | 1 | 3 | | |
| 6 | 8 | 3 | 1 | 9 |
| – | 6 | | | |
| | 2 | 3 | | |
| – | 1 | 8 | | |
| | | 5 | 1 | |
STEP 9: DIVIDE 51 : 6 = 8 with a remainder of 3
|
| | 1 | 3 | 8 | |
| 6 | 8 | 3 | 1 | 9 |
| – | 6 | | | |
| | 2 | 3 | | |
| – | 1 | 8 | | |
| | | 5 | 1 | |
STEP 10: MULTIPLY 8 · 6 = 48
|
| | 1 | 3 | 8 | |
| 6 | 8 | 3 | 1 | 9 |
| – | 6 | | | |
| | 2 | 3 | | |
| – | 1 | 8 | | |
| | | 5 | 1 | |
| | | 4 | 8 | |
STEP 11: SUBTRACT 51 - 48 = 3
|
| | 1 | 3 | 8 | |
| 6 | 8 | 3 | 1 | 9 |
| – | 6 | | | |
| | 2 | 3 | | |
| – | 1 | 8 | | |
| | | 5 | 1 | |
| | – | 4 | 8 | |
| | | | 3 | |
|
STEP 12: BRING DOWN
|
| | 1 | 3 | 8 | |
| 6 | 8 | 3 | 1 | 9 |
| – | 6 | | | |
| | 2 | 3 | | |
| – | 1 | 8 | | |
| | | 5 | 1 | |
| | – | 4 | 8 | |
| | | | 3 | 9 |
STEP 13: DIVIDE 39 : 6 = 6 with a remainder of 3
|
| | 1 | 3 | 8 | 6 |
| 6 | 8 | 3 | 1 | 9 |
| – | 6 | | | |
| | 2 | 3 | | |
| – | 1 | 8 | | |
| | | 5 | 1 | |
| | – | 4 | 8 | |
| | | | 3 | 9 |
STEP 14: MULTIPLY 6 · 6 = 36
|
| | 1 | 3 | 8 | 6 |
| 6 | 8 | 3 | 1 | 9 |
| – | 6 | | | |
| | 2 | 3 | | |
| – | 1 | 8 | | |
| | | 5 | 1 | |
| | – | 4 | 8 | |
| | | | 3 | 9 |
| | | | 3 | 6 |
STEP 15: SUBTRACT 39 - 36 = 3
|
| | 1 | 3 | 8 | 6 |
| 6 | 8 | 3 | 1 | 9 |
| – | 6 | | | |
| | 2 | 3 | | |
| – | 1 | 8 | | |
| | | 5 | 1 | |
| | – | 4 | 8 | |
| | | | 3 | 9 |
| | | – | 3 | 6 |
| | | | | 3 |
STEP 15: SUBTRACT 39 - 36 = 3
|
| | 1 | 3 | 8 | 6 |
| 6 | 8 | 3 | 1 | 9 |
| – | 6 | | | |
| | 2 | 3 | | |
| – | 1 | 8 | | |
| | | 5 | 1 | |
| | – | 4 | 8 | |
| | | | 3 | 9 |
| | | – | 3 | 6 |
| | | | | 3 |
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