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Question
What is the quotient and remainder when $ 9482 $ is divided by $ 243 $ ?
Answer
The quotient is 39 and the remainder is 5.
Explanation
|
Division Table
|
| | | | 0 | 0 | 3 | 9 |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
| | | – | 0 | | | |
| | | | 9 | 4 | | |
| | | | – | 0 | | |
| | | | 9 | 4 | 8 | |
| | | – | 7 | 2 | 9 | |
| | | | 2 | 1 | 9 | 2 |
| | | – | 2 | 1 | 8 | 7 |
| | | | | | | 5 |
STEP 0: set up a division table
|
| | | | | | | |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
STEP 1: DIVIDE 9 : 243 = 0 with a remainder of 9
|
| | | | 0 | | | |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
STEP 2: MULTIPLY 0 · 243 = 0
|
| | | | 0 | | | |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
| | | | 0 | | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | | 0 | | | |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
| | | – | 0 | | | |
| | | | 9 | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
| | | – | 0 | | | |
| | | | 9 | 4 | | |
STEP 5: DIVIDE 94 : 243 = 0 with a remainder of 94
|
| | | | 0 | 0 | | |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
| | | – | 0 | | | |
| | | | 9 | 4 | | |
STEP 6: MULTIPLY 0 · 243 = 0
|
| | | | 0 | 0 | | |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
| | | – | 0 | | | |
| | | | 9 | 4 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 94 - 0 = 94
|
| | | | 0 | 0 | | |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
| | | – | 0 | | | |
| | | | 9 | 4 | | |
| | | | – | 0 | | |
| | | | 9 | 4 | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
| | | – | 0 | | | |
| | | | 9 | 4 | | |
| | | | – | 0 | | |
| | | | 9 | 4 | 8 | |
STEP 9: DIVIDE 948 : 243 = 3 with a remainder of 219
|
| | | | 0 | 0 | 3 | |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
| | | – | 0 | | | |
| | | | 9 | 4 | | |
| | | | – | 0 | | |
| | | | 9 | 4 | 8 | |
STEP 10: MULTIPLY 3 · 243 = 729
|
| | | | 0 | 0 | 3 | |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
| | | – | 0 | | | |
| | | | 9 | 4 | | |
| | | | – | 0 | | |
| | | | 9 | 4 | 8 | |
| | | | 7 | 2 | 9 | |
STEP 11: SUBTRACT 948 - 729 = 219
|
| | | | 0 | 0 | 3 | |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
| | | – | 0 | | | |
| | | | 9 | 4 | | |
| | | | – | 0 | | |
| | | | 9 | 4 | 8 | |
| | | – | 7 | 2 | 9 | |
| | | | 2 | 1 | 9 | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 3 | |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
| | | – | 0 | | | |
| | | | 9 | 4 | | |
| | | | – | 0 | | |
| | | | 9 | 4 | 8 | |
| | | – | 7 | 2 | 9 | |
| | | | 2 | 1 | 9 | 2 |
STEP 13: DIVIDE 2192 : 243 = 9 with a remainder of 5
|
| | | | 0 | 0 | 3 | 9 |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
| | | – | 0 | | | |
| | | | 9 | 4 | | |
| | | | – | 0 | | |
| | | | 9 | 4 | 8 | |
| | | – | 7 | 2 | 9 | |
| | | | 2 | 1 | 9 | 2 |
STEP 14: MULTIPLY 9 · 243 = 2187
|
| | | | 0 | 0 | 3 | 9 |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
| | | – | 0 | | | |
| | | | 9 | 4 | | |
| | | | – | 0 | | |
| | | | 9 | 4 | 8 | |
| | | – | 7 | 2 | 9 | |
| | | | 2 | 1 | 9 | 2 |
| | | | 2 | 1 | 8 | 7 |
STEP 15: SUBTRACT 2192 - 2187 = 5
|
| | | | 0 | 0 | 3 | 9 |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
| | | – | 0 | | | |
| | | | 9 | 4 | | |
| | | | – | 0 | | |
| | | | 9 | 4 | 8 | |
| | | – | 7 | 2 | 9 | |
| | | | 2 | 1 | 9 | 2 |
| | | – | 2 | 1 | 8 | 7 |
| | | | | | | 5 |
STEP 15: SUBTRACT 2192 - 2187 = 5
|
| | | | 0 | 0 | 3 | 9 |
| 2 | 4 | 3 | 9 | 4 | 8 | 2 |
| | | – | 0 | | | |
| | | | 9 | 4 | | |
| | | | – | 0 | | |
| | | | 9 | 4 | 8 | |
| | | – | 7 | 2 | 9 | |
| | | | 2 | 1 | 9 | 2 |
| | | – | 2 | 1 | 8 | 7 |
| | | | | | | 5 |
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