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What is the quotient and remainder when $ 10819 $ is divided by $ 6 $ ?
Answer
The quotient is 1803 and the remainder is 1.
Explanation
Division Table
|
| 0 | 1 | 8 | 0 | 3 |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
| – | 6 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 1 | | |
| | – | 0 | | |
| | | 1 | 9 | |
| | – | 1 | 8 | |
| | | | 1 | |
STEP 0: set up a division table
|
| | | | | |
6 | 1 | 0 | 8 | 1 | 9 |
STEP 1: DIVIDE 1 : 6 = 0 with a remainder of 1
|
| 0 | | | | |
6 | 1 | 0 | 8 | 1 | 9 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| 0 | | | | |
6 | 1 | 0 | 8 | 1 | 9 |
| 0 | | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| 0 | | | | |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | | | | |
STEP 4: BRING DOWN
|
| 0 | | | | |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
STEP 5: DIVIDE 10 : 6 = 1 with a remainder of 4
|
| 0 | 1 | | | |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
STEP 6: MULTIPLY 1 · 6 = 6
|
| 0 | 1 | | | |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
| | 6 | | | |
STEP 7: SUBTRACT 10 - 6 = 4
|
| 0 | 1 | | | |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
| – | 6 | | | |
| | 4 | | | |
STEP 8: BRING DOWN
|
| 0 | 1 | | | |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
| – | 6 | | | |
| | 4 | 8 | | |
STEP 9: DIVIDE 48 : 6 = 8 with a remainder of 0
|
| 0 | 1 | 8 | | |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
| – | 6 | | | |
| | 4 | 8 | | |
STEP 10: MULTIPLY 8 · 6 = 48
|
| 0 | 1 | 8 | | |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
| – | 6 | | | |
| | 4 | 8 | | |
| | 4 | 8 | | |
STEP 11: SUBTRACT 48 - 48 = 0
|
| 0 | 1 | 8 | | |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
| – | 6 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 0 | | |
STEP 12: BRING DOWN
|
| 0 | 1 | 8 | | |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
| – | 6 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 1 | | |
STEP 13: DIVIDE 1 : 6 = 0 with a remainder of 1
|
| 0 | 1 | 8 | 0 | |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
| – | 6 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 1 | | |
STEP 14: MULTIPLY 0 · 6 = 0
|
| 0 | 1 | 8 | 0 | |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
| – | 6 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 1 | | |
| | | 0 | | |
STEP 15: SUBTRACT 1 - 0 = 1
|
| 0 | 1 | 8 | 0 | |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
| – | 6 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 1 | | |
| | – | 0 | | |
| | | 1 | | |
STEP 16: BRING DOWN
|
| 0 | 1 | 8 | 0 | |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
| – | 6 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 1 | | |
| | – | 0 | | |
| | | 1 | 9 | |
STEP 17: DIVIDE 19 : 6 = 3 with a remainder of 1
|
| 0 | 1 | 8 | 0 | 3 |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
| – | 6 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 1 | | |
| | – | 0 | | |
| | | 1 | 9 | |
STEP 18: MULTIPLY 3 · 6 = 18
|
| 0 | 1 | 8 | 0 | 3 |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
| – | 6 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 1 | | |
| | – | 0 | | |
| | | 1 | 9 | |
| | | 1 | 8 | |
STEP 19: SUBTRACT 19 - 18 = 1
|
| 0 | 1 | 8 | 0 | 3 |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
| – | 6 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 1 | | |
| | – | 0 | | |
| | | 1 | 9 | |
| | – | 1 | 8 | |
| | | | 1 | |
STEP 19: SUBTRACT 19 - 18 = 1
|
| 0 | 1 | 8 | 0 | 3 |
6 | 1 | 0 | 8 | 1 | 9 |
– | 0 | | | | |
| 1 | 0 | | | |
| – | 6 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 1 | | |
| | – | 0 | | |
| | | 1 | 9 | |
| | – | 1 | 8 | |
| | | | 1 | |
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