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What is the quotient and remainder when $ 6023 $ is divided by $ 19 $ ?
Answer
The quotient is 317 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 3 | 1 | 7 |
1 | 9 | 6 | 0 | 2 | 3 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 7 | | |
| | | 3 | 2 | |
| | – | 1 | 9 | |
| | | 1 | 3 | 3 |
| | – | 1 | 3 | 3 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
1 | 9 | 6 | 0 | 2 | 3 |
STEP 1: DIVIDE 6 : 19 = 0 with a remainder of 6
|
| | 0 | | | |
1 | 9 | 6 | 0 | 2 | 3 |
STEP 2: MULTIPLY 0 · 19 = 0
|
| | 0 | | | |
1 | 9 | 6 | 0 | 2 | 3 |
| | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | | |
1 | 9 | 6 | 0 | 2 | 3 |
| – | 0 | | | |
| | 6 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
1 | 9 | 6 | 0 | 2 | 3 |
| – | 0 | | | |
| | 6 | 0 | | |
STEP 5: DIVIDE 60 : 19 = 3 with a remainder of 3
|
| | 0 | 3 | | |
1 | 9 | 6 | 0 | 2 | 3 |
| – | 0 | | | |
| | 6 | 0 | | |
STEP 6: MULTIPLY 3 · 19 = 57
|
| | 0 | 3 | | |
1 | 9 | 6 | 0 | 2 | 3 |
| – | 0 | | | |
| | 6 | 0 | | |
| | 5 | 7 | | |
STEP 7: SUBTRACT 60 - 57 = 3
|
| | 0 | 3 | | |
1 | 9 | 6 | 0 | 2 | 3 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 7 | | |
| | | 3 | | |
STEP 8: BRING DOWN
|
| | 0 | 3 | | |
1 | 9 | 6 | 0 | 2 | 3 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 7 | | |
| | | 3 | 2 | |
STEP 9: DIVIDE 32 : 19 = 1 with a remainder of 13
|
| | 0 | 3 | 1 | |
1 | 9 | 6 | 0 | 2 | 3 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 7 | | |
| | | 3 | 2 | |
STEP 10: MULTIPLY 1 · 19 = 19
|
| | 0 | 3 | 1 | |
1 | 9 | 6 | 0 | 2 | 3 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 7 | | |
| | | 3 | 2 | |
| | | 1 | 9 | |
STEP 11: SUBTRACT 32 - 19 = 13
|
| | 0 | 3 | 1 | |
1 | 9 | 6 | 0 | 2 | 3 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 7 | | |
| | | 3 | 2 | |
| | – | 1 | 9 | |
| | | 1 | 3 | |
STEP 12: BRING DOWN
|
| | 0 | 3 | 1 | |
1 | 9 | 6 | 0 | 2 | 3 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 7 | | |
| | | 3 | 2 | |
| | – | 1 | 9 | |
| | | 1 | 3 | 3 |
STEP 13: DIVIDE 133 : 19 = 7 with a remainder of 0
|
| | 0 | 3 | 1 | 7 |
1 | 9 | 6 | 0 | 2 | 3 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 7 | | |
| | | 3 | 2 | |
| | – | 1 | 9 | |
| | | 1 | 3 | 3 |
STEP 14: MULTIPLY 7 · 19 = 133
|
| | 0 | 3 | 1 | 7 |
1 | 9 | 6 | 0 | 2 | 3 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 7 | | |
| | | 3 | 2 | |
| | – | 1 | 9 | |
| | | 1 | 3 | 3 |
| | | 1 | 3 | 3 |
STEP 15: SUBTRACT 133 - 133 = 0
|
| | 0 | 3 | 1 | 7 |
1 | 9 | 6 | 0 | 2 | 3 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 7 | | |
| | | 3 | 2 | |
| | – | 1 | 9 | |
| | | 1 | 3 | 3 |
| | – | 1 | 3 | 3 |
| | | | | 0 |
STEP 15: SUBTRACT 133 - 133 = 0
|
| | 0 | 3 | 1 | 7 |
1 | 9 | 6 | 0 | 2 | 3 |
| – | 0 | | | |
| | 6 | 0 | | |
| – | 5 | 7 | | |
| | | 3 | 2 | |
| | – | 1 | 9 | |
| | | 1 | 3 | 3 |
| | – | 1 | 3 | 3 |
| | | | | 0 |
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