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Question
What is the quotient and remainder when $ 263 $ is divided by $ 100 $ ?
Answer
The quotient is 2 and the remainder is 63.
Explanation
|
Division Table
|
| | | | 0 | 0 | 2 |
| 1 | 0 | 0 | 2 | 6 | 3 |
| | | – | 0 | | |
| | | | 2 | 6 | |
| | | | – | 0 | |
| | | | 2 | 6 | 3 |
| | | – | 2 | 0 | 0 |
| | | | | 6 | 3 |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 0 | 0 | 2 | 6 | 3 |
STEP 1: DIVIDE 2 : 100 = 0 with a remainder of 2
|
| | | | 0 | | |
| 1 | 0 | 0 | 2 | 6 | 3 |
STEP 2: MULTIPLY 0 · 100 = 0
|
| | | | 0 | | |
| 1 | 0 | 0 | 2 | 6 | 3 |
| | | | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | | 0 | | |
| 1 | 0 | 0 | 2 | 6 | 3 |
| | | – | 0 | | |
| | | | 2 | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | |
| 1 | 0 | 0 | 2 | 6 | 3 |
| | | – | 0 | | |
| | | | 2 | 6 | |
STEP 5: DIVIDE 26 : 100 = 0 with a remainder of 26
|
| | | | 0 | 0 | |
| 1 | 0 | 0 | 2 | 6 | 3 |
| | | – | 0 | | |
| | | | 2 | 6 | |
STEP 6: MULTIPLY 0 · 100 = 0
|
| | | | 0 | 0 | |
| 1 | 0 | 0 | 2 | 6 | 3 |
| | | – | 0 | | |
| | | | 2 | 6 | |
| | | | | 0 | |
STEP 7: SUBTRACT 26 - 0 = 26
|
| | | | 0 | 0 | |
| 1 | 0 | 0 | 2 | 6 | 3 |
| | | – | 0 | | |
| | | | 2 | 6 | |
| | | | – | 0 | |
| | | | 2 | 6 | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
| 1 | 0 | 0 | 2 | 6 | 3 |
| | | – | 0 | | |
| | | | 2 | 6 | |
| | | | – | 0 | |
| | | | 2 | 6 | 3 |
STEP 9: DIVIDE 263 : 100 = 2 with a remainder of 63
|
| | | | 0 | 0 | 2 |
| 1 | 0 | 0 | 2 | 6 | 3 |
| | | – | 0 | | |
| | | | 2 | 6 | |
| | | | – | 0 | |
| | | | 2 | 6 | 3 |
STEP 10: MULTIPLY 2 · 100 = 200
|
| | | | 0 | 0 | 2 |
| 1 | 0 | 0 | 2 | 6 | 3 |
| | | – | 0 | | |
| | | | 2 | 6 | |
| | | | – | 0 | |
| | | | 2 | 6 | 3 |
| | | | 2 | 0 | 0 |
STEP 11: SUBTRACT 263 - 200 = 63
|
| | | | 0 | 0 | 2 |
| 1 | 0 | 0 | 2 | 6 | 3 |
| | | – | 0 | | |
| | | | 2 | 6 | |
| | | | – | 0 | |
| | | | 2 | 6 | 3 |
| | | – | 2 | 0 | 0 |
| | | | | 6 | 3 |
STEP 11: SUBTRACT 263 - 200 = 63
|
| | | | 0 | 0 | 2 |
| 1 | 0 | 0 | 2 | 6 | 3 |
| | | – | 0 | | |
| | | | 2 | 6 | |
| | | | – | 0 | |
| | | | 2 | 6 | 3 |
| | | – | 2 | 0 | 0 |
| | | | | 6 | 3 |
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