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Question
What is the quotient and remainder when $ 4267 $ is divided by $ 19 $ ?
Answer
The quotient is 224 and the remainder is 11.
Explanation
|
Division Table
|
| | | 0 | 2 | 2 | 4 |
| 1 | 9 | 4 | 2 | 6 | 7 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | – | 3 | 8 | | |
| | | | 4 | 6 | |
| | | – | 3 | 8 | |
| | | | | 8 | 7 |
| | | | – | 7 | 6 |
| | | | | 1 | 1 |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 9 | 4 | 2 | 6 | 7 |
STEP 1: DIVIDE 4 : 19 = 0 with a remainder of 4
|
| | | 0 | | | |
| 1 | 9 | 4 | 2 | 6 | 7 |
STEP 2: MULTIPLY 0 · 19 = 0
|
| | | 0 | | | |
| 1 | 9 | 4 | 2 | 6 | 7 |
| | | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | | |
| 1 | 9 | 4 | 2 | 6 | 7 |
| | – | 0 | | | |
| | | 4 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 1 | 9 | 4 | 2 | 6 | 7 |
| | – | 0 | | | |
| | | 4 | 2 | | |
STEP 5: DIVIDE 42 : 19 = 2 with a remainder of 4
|
| | | 0 | 2 | | |
| 1 | 9 | 4 | 2 | 6 | 7 |
| | – | 0 | | | |
| | | 4 | 2 | | |
STEP 6: MULTIPLY 2 · 19 = 38
|
| | | 0 | 2 | | |
| 1 | 9 | 4 | 2 | 6 | 7 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | 3 | 8 | | |
STEP 7: SUBTRACT 42 - 38 = 4
|
| | | 0 | 2 | | |
| 1 | 9 | 4 | 2 | 6 | 7 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | – | 3 | 8 | | |
| | | | 4 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | | |
| 1 | 9 | 4 | 2 | 6 | 7 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | – | 3 | 8 | | |
| | | | 4 | 6 | |
STEP 9: DIVIDE 46 : 19 = 2 with a remainder of 8
|
| | | 0 | 2 | 2 | |
| 1 | 9 | 4 | 2 | 6 | 7 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | – | 3 | 8 | | |
| | | | 4 | 6 | |
STEP 10: MULTIPLY 2 · 19 = 38
|
| | | 0 | 2 | 2 | |
| 1 | 9 | 4 | 2 | 6 | 7 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | – | 3 | 8 | | |
| | | | 4 | 6 | |
| | | | 3 | 8 | |
STEP 11: SUBTRACT 46 - 38 = 8
|
| | | 0 | 2 | 2 | |
| 1 | 9 | 4 | 2 | 6 | 7 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | – | 3 | 8 | | |
| | | | 4 | 6 | |
| | | – | 3 | 8 | |
| | | | | 8 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 2 | 2 | |
| 1 | 9 | 4 | 2 | 6 | 7 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | – | 3 | 8 | | |
| | | | 4 | 6 | |
| | | – | 3 | 8 | |
| | | | | 8 | 7 |
STEP 13: DIVIDE 87 : 19 = 4 with a remainder of 11
|
| | | 0 | 2 | 2 | 4 |
| 1 | 9 | 4 | 2 | 6 | 7 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | – | 3 | 8 | | |
| | | | 4 | 6 | |
| | | – | 3 | 8 | |
| | | | | 8 | 7 |
STEP 14: MULTIPLY 4 · 19 = 76
|
| | | 0 | 2 | 2 | 4 |
| 1 | 9 | 4 | 2 | 6 | 7 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | – | 3 | 8 | | |
| | | | 4 | 6 | |
| | | – | 3 | 8 | |
| | | | | 8 | 7 |
| | | | | 7 | 6 |
STEP 15: SUBTRACT 87 - 76 = 11
|
| | | 0 | 2 | 2 | 4 |
| 1 | 9 | 4 | 2 | 6 | 7 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | – | 3 | 8 | | |
| | | | 4 | 6 | |
| | | – | 3 | 8 | |
| | | | | 8 | 7 |
| | | | – | 7 | 6 |
| | | | | 1 | 1 |
STEP 15: SUBTRACT 87 - 76 = 11
|
| | | 0 | 2 | 2 | 4 |
| 1 | 9 | 4 | 2 | 6 | 7 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | – | 3 | 8 | | |
| | | | 4 | 6 | |
| | | – | 3 | 8 | |
| | | | | 8 | 7 |
| | | | – | 7 | 6 |
| | | | | 1 | 1 |
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