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Question
What is the quotient and remainder when $ 500 $ is divided by $ 26 $ ?
Answer
The quotient is 19 and the remainder is 6.
Explanation
|
Division Table
|
| | | 0 | 1 | 9 |
| 2 | 6 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
| | – | 2 | 6 | |
| | | 2 | 4 | 0 |
| | – | 2 | 3 | 4 |
| | | | | 6 |
STEP 0: set up a division table
|
| | | | | |
| 2 | 6 | 5 | 0 | 0 |
STEP 1: DIVIDE 5 : 26 = 0 with a remainder of 5
|
| | | 0 | | |
| 2 | 6 | 5 | 0 | 0 |
STEP 2: MULTIPLY 0 · 26 = 0
|
| | | 0 | | |
| 2 | 6 | 5 | 0 | 0 |
| | | 0 | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | 0 | | |
| 2 | 6 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 2 | 6 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
STEP 5: DIVIDE 50 : 26 = 1 with a remainder of 24
|
| | | 0 | 1 | |
| 2 | 6 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
STEP 6: MULTIPLY 1 · 26 = 26
|
| | | 0 | 1 | |
| 2 | 6 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
| | | 2 | 6 | |
STEP 7: SUBTRACT 50 - 26 = 24
|
| | | 0 | 1 | |
| 2 | 6 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
| | – | 2 | 6 | |
| | | 2 | 4 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | |
| 2 | 6 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
| | – | 2 | 6 | |
| | | 2 | 4 | 0 |
STEP 9: DIVIDE 240 : 26 = 9 with a remainder of 6
|
| | | 0 | 1 | 9 |
| 2 | 6 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
| | – | 2 | 6 | |
| | | 2 | 4 | 0 |
STEP 10: MULTIPLY 9 · 26 = 234
|
| | | 0 | 1 | 9 |
| 2 | 6 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
| | – | 2 | 6 | |
| | | 2 | 4 | 0 |
| | | 2 | 3 | 4 |
STEP 11: SUBTRACT 240 - 234 = 6
|
| | | 0 | 1 | 9 |
| 2 | 6 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
| | – | 2 | 6 | |
| | | 2 | 4 | 0 |
| | – | 2 | 3 | 4 |
| | | | | 6 |
STEP 11: SUBTRACT 240 - 234 = 6
|
| | | 0 | 1 | 9 |
| 2 | 6 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
| | – | 2 | 6 | |
| | | 2 | 4 | 0 |
| | – | 2 | 3 | 4 |
| | | | | 6 |
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