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Question
What is the quotient and remainder when $ 2404 $ is divided by $ 81 $ ?
Answer
The quotient is 29 and the remainder is 55.
Explanation
|
Division Table
|
| | | 0 | 0 | 2 | 9 |
| 8 | 1 | 2 | 4 | 0 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 0 | |
| | – | 1 | 6 | 2 | |
| | | | 7 | 8 | 4 |
| | | – | 7 | 2 | 9 |
| | | | | 5 | 5 |
STEP 0: set up a division table
|
| | | | | | |
| 8 | 1 | 2 | 4 | 0 | 4 |
STEP 1: DIVIDE 2 : 81 = 0 with a remainder of 2
|
| | | 0 | | | |
| 8 | 1 | 2 | 4 | 0 | 4 |
STEP 2: MULTIPLY 0 · 81 = 0
|
| | | 0 | | | |
| 8 | 1 | 2 | 4 | 0 | 4 |
| | | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | | |
| 8 | 1 | 2 | 4 | 0 | 4 |
| | – | 0 | | | |
| | | 2 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 8 | 1 | 2 | 4 | 0 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
STEP 5: DIVIDE 24 : 81 = 0 with a remainder of 24
|
| | | 0 | 0 | | |
| 8 | 1 | 2 | 4 | 0 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
STEP 6: MULTIPLY 0 · 81 = 0
|
| | | 0 | 0 | | |
| 8 | 1 | 2 | 4 | 0 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 24 - 0 = 24
|
| | | 0 | 0 | | |
| 8 | 1 | 2 | 4 | 0 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 8 | 1 | 2 | 4 | 0 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 0 | |
STEP 9: DIVIDE 240 : 81 = 2 with a remainder of 78
|
| | | 0 | 0 | 2 | |
| 8 | 1 | 2 | 4 | 0 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 0 | |
STEP 10: MULTIPLY 2 · 81 = 162
|
| | | 0 | 0 | 2 | |
| 8 | 1 | 2 | 4 | 0 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 0 | |
| | | 1 | 6 | 2 | |
STEP 11: SUBTRACT 240 - 162 = 78
|
| | | 0 | 0 | 2 | |
| 8 | 1 | 2 | 4 | 0 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 0 | |
| | – | 1 | 6 | 2 | |
| | | | 7 | 8 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 2 | |
| 8 | 1 | 2 | 4 | 0 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 0 | |
| | – | 1 | 6 | 2 | |
| | | | 7 | 8 | 4 |
STEP 13: DIVIDE 784 : 81 = 9 with a remainder of 55
|
| | | 0 | 0 | 2 | 9 |
| 8 | 1 | 2 | 4 | 0 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 0 | |
| | – | 1 | 6 | 2 | |
| | | | 7 | 8 | 4 |
STEP 14: MULTIPLY 9 · 81 = 729
|
| | | 0 | 0 | 2 | 9 |
| 8 | 1 | 2 | 4 | 0 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 0 | |
| | – | 1 | 6 | 2 | |
| | | | 7 | 8 | 4 |
| | | | 7 | 2 | 9 |
STEP 15: SUBTRACT 784 - 729 = 55
|
| | | 0 | 0 | 2 | 9 |
| 8 | 1 | 2 | 4 | 0 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 0 | |
| | – | 1 | 6 | 2 | |
| | | | 7 | 8 | 4 |
| | | – | 7 | 2 | 9 |
| | | | | 5 | 5 |
STEP 15: SUBTRACT 784 - 729 = 55
|
| | | 0 | 0 | 2 | 9 |
| 8 | 1 | 2 | 4 | 0 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 0 | |
| | – | 1 | 6 | 2 | |
| | | | 7 | 8 | 4 |
| | | – | 7 | 2 | 9 |
| | | | | 5 | 5 |
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