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Question
What is the quotient and remainder when $ 468 $ is divided by $ 26 $ ?
Answer
The quotient is 18 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 1 | 8 |
| 2 | 6 | 4 | 6 | 8 |
| | – | 0 | | |
| | | 4 | 6 | |
| | – | 2 | 6 | |
| | | 2 | 0 | 8 |
| | – | 2 | 0 | 8 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
| 2 | 6 | 4 | 6 | 8 |
STEP 1: DIVIDE 4 : 26 = 0 with a remainder of 4
|
| | | 0 | | |
| 2 | 6 | 4 | 6 | 8 |
STEP 2: MULTIPLY 0 · 26 = 0
|
| | | 0 | | |
| 2 | 6 | 4 | 6 | 8 |
| | | 0 | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | |
| 2 | 6 | 4 | 6 | 8 |
| | – | 0 | | |
| | | 4 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 2 | 6 | 4 | 6 | 8 |
| | – | 0 | | |
| | | 4 | 6 | |
STEP 5: DIVIDE 46 : 26 = 1 with a remainder of 20
|
| | | 0 | 1 | |
| 2 | 6 | 4 | 6 | 8 |
| | – | 0 | | |
| | | 4 | 6 | |
STEP 6: MULTIPLY 1 · 26 = 26
|
| | | 0 | 1 | |
| 2 | 6 | 4 | 6 | 8 |
| | – | 0 | | |
| | | 4 | 6 | |
| | | 2 | 6 | |
STEP 7: SUBTRACT 46 - 26 = 20
|
| | | 0 | 1 | |
| 2 | 6 | 4 | 6 | 8 |
| | – | 0 | | |
| | | 4 | 6 | |
| | – | 2 | 6 | |
| | | 2 | 0 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | |
| 2 | 6 | 4 | 6 | 8 |
| | – | 0 | | |
| | | 4 | 6 | |
| | – | 2 | 6 | |
| | | 2 | 0 | 8 |
STEP 9: DIVIDE 208 : 26 = 8 with a remainder of 0
|
| | | 0 | 1 | 8 |
| 2 | 6 | 4 | 6 | 8 |
| | – | 0 | | |
| | | 4 | 6 | |
| | – | 2 | 6 | |
| | | 2 | 0 | 8 |
STEP 10: MULTIPLY 8 · 26 = 208
|
| | | 0 | 1 | 8 |
| 2 | 6 | 4 | 6 | 8 |
| | – | 0 | | |
| | | 4 | 6 | |
| | – | 2 | 6 | |
| | | 2 | 0 | 8 |
| | | 2 | 0 | 8 |
STEP 11: SUBTRACT 208 - 208 = 0
|
| | | 0 | 1 | 8 |
| 2 | 6 | 4 | 6 | 8 |
| | – | 0 | | |
| | | 4 | 6 | |
| | – | 2 | 6 | |
| | | 2 | 0 | 8 |
| | – | 2 | 0 | 8 |
| | | | | 0 |
STEP 11: SUBTRACT 208 - 208 = 0
|
| | | 0 | 1 | 8 |
| 2 | 6 | 4 | 6 | 8 |
| | – | 0 | | |
| | | 4 | 6 | |
| | – | 2 | 6 | |
| | | 2 | 0 | 8 |
| | – | 2 | 0 | 8 |
| | | | | 0 |
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