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Question
What is the quotient and remainder when $ 299 $ is divided by $ 256 $ ?
Answer
The quotient is 1 and the remainder is 43.
Explanation
|
Division Table
|
| | | | 0 | 0 | 1 |
| 2 | 5 | 6 | 2 | 9 | 9 |
| | | – | 0 | | |
| | | | 2 | 9 | |
| | | | – | 0 | |
| | | | 2 | 9 | 9 |
| | | – | 2 | 5 | 6 |
| | | | | 4 | 3 |
STEP 0: set up a division table
|
| | | | | | |
| 2 | 5 | 6 | 2 | 9 | 9 |
STEP 1: DIVIDE 2 : 256 = 0 with a remainder of 2
|
| | | | 0 | | |
| 2 | 5 | 6 | 2 | 9 | 9 |
STEP 2: MULTIPLY 0 · 256 = 0
|
| | | | 0 | | |
| 2 | 5 | 6 | 2 | 9 | 9 |
| | | | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | | 0 | | |
| 2 | 5 | 6 | 2 | 9 | 9 |
| | | – | 0 | | |
| | | | 2 | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | |
| 2 | 5 | 6 | 2 | 9 | 9 |
| | | – | 0 | | |
| | | | 2 | 9 | |
STEP 5: DIVIDE 29 : 256 = 0 with a remainder of 29
|
| | | | 0 | 0 | |
| 2 | 5 | 6 | 2 | 9 | 9 |
| | | – | 0 | | |
| | | | 2 | 9 | |
STEP 6: MULTIPLY 0 · 256 = 0
|
| | | | 0 | 0 | |
| 2 | 5 | 6 | 2 | 9 | 9 |
| | | – | 0 | | |
| | | | 2 | 9 | |
| | | | | 0 | |
STEP 7: SUBTRACT 29 - 0 = 29
|
| | | | 0 | 0 | |
| 2 | 5 | 6 | 2 | 9 | 9 |
| | | – | 0 | | |
| | | | 2 | 9 | |
| | | | – | 0 | |
| | | | 2 | 9 | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
| 2 | 5 | 6 | 2 | 9 | 9 |
| | | – | 0 | | |
| | | | 2 | 9 | |
| | | | – | 0 | |
| | | | 2 | 9 | 9 |
STEP 9: DIVIDE 299 : 256 = 1 with a remainder of 43
|
| | | | 0 | 0 | 1 |
| 2 | 5 | 6 | 2 | 9 | 9 |
| | | – | 0 | | |
| | | | 2 | 9 | |
| | | | – | 0 | |
| | | | 2 | 9 | 9 |
STEP 10: MULTIPLY 1 · 256 = 256
|
| | | | 0 | 0 | 1 |
| 2 | 5 | 6 | 2 | 9 | 9 |
| | | – | 0 | | |
| | | | 2 | 9 | |
| | | | – | 0 | |
| | | | 2 | 9 | 9 |
| | | | 2 | 5 | 6 |
STEP 11: SUBTRACT 299 - 256 = 43
|
| | | | 0 | 0 | 1 |
| 2 | 5 | 6 | 2 | 9 | 9 |
| | | – | 0 | | |
| | | | 2 | 9 | |
| | | | – | 0 | |
| | | | 2 | 9 | 9 |
| | | – | 2 | 5 | 6 |
| | | | | 4 | 3 |
STEP 11: SUBTRACT 299 - 256 = 43
|
| | | | 0 | 0 | 1 |
| 2 | 5 | 6 | 2 | 9 | 9 |
| | | – | 0 | | |
| | | | 2 | 9 | |
| | | | – | 0 | |
| | | | 2 | 9 | 9 |
| | | – | 2 | 5 | 6 |
| | | | | 4 | 3 |
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