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Question
What is the quotient and remainder when $ 1827 $ is divided by $ 1 $ ?
Answer
The quotient is 1827 and the remainder is 0.
Explanation
|
Division Table
|
| | 1 | 8 | 2 | 7 |
| 1 | 1 | 8 | 2 | 7 |
| – | 1 | | | |
| | 8 | | | |
| – | 8 | | | |
| | 2 | | | |
| – | 2 | | | |
| | 7 | | | |
| – | 7 | | | |
| | 0 | | | |
STEP 0: set up a division table
|
| | | | | |
| 1 | 1 | 8 | 2 | 7 |
STEP 1: DIVIDE 1 : 1 = 1 with a remainder of 0
|
| | 1 | | | |
| 1 | 1 | 8 | 2 | 7 |
STEP 2: MULTIPLY 1 · 1 = 1
|
| | 1 | | | |
| 1 | 1 | 8 | 2 | 7 |
| | 1 | | | |
STEP 3: SUBTRACT 1 - 1 = 0
|
| | 1 | | | |
| 1 | 1 | 8 | 2 | 7 |
| – | 1 | | | |
| | 0 | | | |
|
STEP 4: BRING DOWN
|
| | 1 | | | |
| 1 | 1 | 8 | 2 | 7 |
| – | 1 | | | |
| | 8 | | | |
STEP 5: DIVIDE 8 : 1 = 8 with a remainder of 0
|
| | 1 | 8 | | |
| 1 | 1 | 8 | 2 | 7 |
| – | 1 | | | |
| | 8 | | | |
STEP 6: MULTIPLY 8 · 1 = 8
|
| | 1 | 8 | | |
| 1 | 1 | 8 | 2 | 7 |
| – | 1 | | | |
| | 8 | | | |
| | 8 | | | |
STEP 7: SUBTRACT 8 - 8 = 0
|
| | 1 | 8 | | |
| 1 | 1 | 8 | 2 | 7 |
| – | 1 | | | |
| | 8 | | | |
| – | 8 | | | |
| | 0 | | | |
|
STEP 8: BRING DOWN
|
| | 1 | 8 | | |
| 1 | 1 | 8 | 2 | 7 |
| – | 1 | | | |
| | 8 | | | |
| – | 8 | | | |
| | 2 | | | |
STEP 9: DIVIDE 2 : 1 = 2 with a remainder of 0
|
| | 1 | 8 | 2 | |
| 1 | 1 | 8 | 2 | 7 |
| – | 1 | | | |
| | 8 | | | |
| – | 8 | | | |
| | 2 | | | |
STEP 10: MULTIPLY 2 · 1 = 2
|
| | 1 | 8 | 2 | |
| 1 | 1 | 8 | 2 | 7 |
| – | 1 | | | |
| | 8 | | | |
| – | 8 | | | |
| | 2 | | | |
| | 2 | | | |
STEP 11: SUBTRACT 2 - 2 = 0
|
| | 1 | 8 | 2 | |
| 1 | 1 | 8 | 2 | 7 |
| – | 1 | | | |
| | 8 | | | |
| – | 8 | | | |
| | 2 | | | |
| – | 2 | | | |
| | 0 | | | |
|
STEP 12: BRING DOWN
|
| | 1 | 8 | 2 | |
| 1 | 1 | 8 | 2 | 7 |
| – | 1 | | | |
| | 8 | | | |
| – | 8 | | | |
| | 2 | | | |
| – | 2 | | | |
| | 7 | | | |
STEP 13: DIVIDE 7 : 1 = 7 with a remainder of 0
|
| | 1 | 8 | 2 | 7 |
| 1 | 1 | 8 | 2 | 7 |
| – | 1 | | | |
| | 8 | | | |
| – | 8 | | | |
| | 2 | | | |
| – | 2 | | | |
| | 7 | | | |
STEP 14: MULTIPLY 7 · 1 = 7
|
| | 1 | 8 | 2 | 7 |
| 1 | 1 | 8 | 2 | 7 |
| – | 1 | | | |
| | 8 | | | |
| – | 8 | | | |
| | 2 | | | |
| – | 2 | | | |
| | 7 | | | |
| | 7 | | | |
STEP 15: SUBTRACT 7 - 7 = 0
|
| | 1 | 8 | 2 | 7 |
| 1 | 1 | 8 | 2 | 7 |
| – | 1 | | | |
| | 8 | | | |
| – | 8 | | | |
| | 2 | | | |
| – | 2 | | | |
| | 7 | | | |
| – | 7 | | | |
| | 0 | | | |
STEP 15: SUBTRACT 7 - 7 = 0
|
| | 1 | 8 | 2 | 7 |
| 1 | 1 | 8 | 2 | 7 |
| – | 1 | | | |
| | 8 | | | |
| – | 8 | | | |
| | 2 | | | |
| – | 2 | | | |
| | 7 | | | |
| – | 7 | | | |
| | 0 | | | |
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