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Question
What is the quotient and remainder when $ 275 $ is divided by $ 36 $ ?
Answer
The quotient is 7 and the remainder is 23.
Explanation
|
Division Table
|
| | | 0 | 0 | 7 |
| 3 | 6 | 2 | 7 | 5 |
| | – | 0 | | |
| | | 2 | 7 | |
| | | – | 0 | |
| | | 2 | 7 | 5 |
| | – | 2 | 5 | 2 |
| | | | 2 | 3 |
STEP 0: set up a division table
|
| | | | | |
| 3 | 6 | 2 | 7 | 5 |
STEP 1: DIVIDE 2 : 36 = 0 with a remainder of 2
|
| | | 0 | | |
| 3 | 6 | 2 | 7 | 5 |
STEP 2: MULTIPLY 0 · 36 = 0
|
| | | 0 | | |
| 3 | 6 | 2 | 7 | 5 |
| | | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | |
| 3 | 6 | 2 | 7 | 5 |
| | – | 0 | | |
| | | 2 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 3 | 6 | 2 | 7 | 5 |
| | – | 0 | | |
| | | 2 | 7 | |
STEP 5: DIVIDE 27 : 36 = 0 with a remainder of 27
|
| | | 0 | 0 | |
| 3 | 6 | 2 | 7 | 5 |
| | – | 0 | | |
| | | 2 | 7 | |
STEP 6: MULTIPLY 0 · 36 = 0
|
| | | 0 | 0 | |
| 3 | 6 | 2 | 7 | 5 |
| | – | 0 | | |
| | | 2 | 7 | |
| | | | 0 | |
STEP 7: SUBTRACT 27 - 0 = 27
|
| | | 0 | 0 | |
| 3 | 6 | 2 | 7 | 5 |
| | – | 0 | | |
| | | 2 | 7 | |
| | | – | 0 | |
| | | 2 | 7 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
| 3 | 6 | 2 | 7 | 5 |
| | – | 0 | | |
| | | 2 | 7 | |
| | | – | 0 | |
| | | 2 | 7 | 5 |
STEP 9: DIVIDE 275 : 36 = 7 with a remainder of 23
|
| | | 0 | 0 | 7 |
| 3 | 6 | 2 | 7 | 5 |
| | – | 0 | | |
| | | 2 | 7 | |
| | | – | 0 | |
| | | 2 | 7 | 5 |
STEP 10: MULTIPLY 7 · 36 = 252
|
| | | 0 | 0 | 7 |
| 3 | 6 | 2 | 7 | 5 |
| | – | 0 | | |
| | | 2 | 7 | |
| | | – | 0 | |
| | | 2 | 7 | 5 |
| | | 2 | 5 | 2 |
STEP 11: SUBTRACT 275 - 252 = 23
|
| | | 0 | 0 | 7 |
| 3 | 6 | 2 | 7 | 5 |
| | – | 0 | | |
| | | 2 | 7 | |
| | | – | 0 | |
| | | 2 | 7 | 5 |
| | – | 2 | 5 | 2 |
| | | | 2 | 3 |
STEP 11: SUBTRACT 275 - 252 = 23
|
| | | 0 | 0 | 7 |
| 3 | 6 | 2 | 7 | 5 |
| | – | 0 | | |
| | | 2 | 7 | |
| | | – | 0 | |
| | | 2 | 7 | 5 |
| | – | 2 | 5 | 2 |
| | | | 2 | 3 |
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