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Question
What is the quotient and remainder when $ 19662 $ is divided by $ 28 $ ?
Answer
The quotient is 702 and the remainder is 6.
Explanation
|
Division Table
|
| | | 0 | 0 | 7 | 0 | 2 |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
| | | – | 0 | | | |
| | | 1 | 9 | 6 | | |
| | – | 1 | 9 | 6 | | |
| | | | | 6 | | |
| | | | – | 0 | | |
| | | | | 6 | 2 | |
| | | | – | 5 | 6 | |
| | | | | | 6 | |
STEP 0: set up a division table
|
| | | | | | | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
STEP 1: DIVIDE 1 : 28 = 0 with a remainder of 1
|
| | | 0 | | | | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
STEP 2: MULTIPLY 0 · 28 = 0
|
| | | 0 | | | | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | | 0 | | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | 0 | | | | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
STEP 5: DIVIDE 19 : 28 = 0 with a remainder of 19
|
| | | 0 | 0 | | | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
STEP 6: MULTIPLY 0 · 28 = 0
|
| | | 0 | 0 | | | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
| | | | 0 | | | |
STEP 7: SUBTRACT 19 - 0 = 19
|
| | | 0 | 0 | | | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
| | | – | 0 | | | |
| | | 1 | 9 | | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
| | | – | 0 | | | |
| | | 1 | 9 | 6 | | |
STEP 9: DIVIDE 196 : 28 = 7 with a remainder of 0
|
| | | 0 | 0 | 7 | | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
| | | – | 0 | | | |
| | | 1 | 9 | 6 | | |
STEP 10: MULTIPLY 7 · 28 = 196
|
| | | 0 | 0 | 7 | | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
| | | – | 0 | | | |
| | | 1 | 9 | 6 | | |
| | | 1 | 9 | 6 | | |
STEP 11: SUBTRACT 196 - 196 = 0
|
| | | 0 | 0 | 7 | | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
| | | – | 0 | | | |
| | | 1 | 9 | 6 | | |
| | – | 1 | 9 | 6 | | |
| | | | | 0 | | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 7 | | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
| | | – | 0 | | | |
| | | 1 | 9 | 6 | | |
| | – | 1 | 9 | 6 | | |
| | | | | 6 | | |
STEP 13: DIVIDE 6 : 28 = 0 with a remainder of 6
|
| | | 0 | 0 | 7 | 0 | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
| | | – | 0 | | | |
| | | 1 | 9 | 6 | | |
| | – | 1 | 9 | 6 | | |
| | | | | 6 | | |
STEP 14: MULTIPLY 0 · 28 = 0
|
| | | 0 | 0 | 7 | 0 | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
| | | – | 0 | | | |
| | | 1 | 9 | 6 | | |
| | – | 1 | 9 | 6 | | |
| | | | | 6 | | |
| | | | | 0 | | |
STEP 15: SUBTRACT 6 - 0 = 6
|
| | | 0 | 0 | 7 | 0 | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
| | | – | 0 | | | |
| | | 1 | 9 | 6 | | |
| | – | 1 | 9 | 6 | | |
| | | | | 6 | | |
| | | | – | 0 | | |
| | | | | 6 | | |
|
STEP 16: BRING DOWN
|
| | | 0 | 0 | 7 | 0 | |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
| | | – | 0 | | | |
| | | 1 | 9 | 6 | | |
| | – | 1 | 9 | 6 | | |
| | | | | 6 | | |
| | | | – | 0 | | |
| | | | | 6 | 2 | |
STEP 17: DIVIDE 62 : 28 = 2 with a remainder of 6
|
| | | 0 | 0 | 7 | 0 | 2 |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
| | | – | 0 | | | |
| | | 1 | 9 | 6 | | |
| | – | 1 | 9 | 6 | | |
| | | | | 6 | | |
| | | | – | 0 | | |
| | | | | 6 | 2 | |
STEP 18: MULTIPLY 2 · 28 = 56
|
| | | 0 | 0 | 7 | 0 | 2 |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
| | | – | 0 | | | |
| | | 1 | 9 | 6 | | |
| | – | 1 | 9 | 6 | | |
| | | | | 6 | | |
| | | | – | 0 | | |
| | | | | 6 | 2 | |
| | | | | 5 | 6 | |
STEP 19: SUBTRACT 62 - 56 = 6
|
| | | 0 | 0 | 7 | 0 | 2 |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
| | | – | 0 | | | |
| | | 1 | 9 | 6 | | |
| | – | 1 | 9 | 6 | | |
| | | | | 6 | | |
| | | | – | 0 | | |
| | | | | 6 | 2 | |
| | | | – | 5 | 6 | |
| | | | | | 6 | |
STEP 19: SUBTRACT 62 - 56 = 6
|
| | | 0 | 0 | 7 | 0 | 2 |
| 2 | 8 | 1 | 9 | 6 | 6 | 2 |
| | – | 0 | | | | |
| | | 1 | 9 | | | |
| | | – | 0 | | | |
| | | 1 | 9 | 6 | | |
| | – | 1 | 9 | 6 | | |
| | | | | 6 | | |
| | | | – | 0 | | |
| | | | | 6 | 2 | |
| | | | – | 5 | 6 | |
| | | | | | 6 | |
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