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Question
What is the quotient and remainder when $ 2655 $ is divided by $ 36 $ ?
Answer
The quotient is 73 and the remainder is 27.
Explanation
|
Division Table
|
| | | 0 | 0 | 7 | 3 |
| 3 | 6 | 2 | 6 | 5 | 5 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 5 | |
| | – | 2 | 5 | 2 | |
| | | | 1 | 3 | 5 |
| | | – | 1 | 0 | 8 |
| | | | | 2 | 7 |
STEP 0: set up a division table
|
| | | | | | |
| 3 | 6 | 2 | 6 | 5 | 5 |
STEP 1: DIVIDE 2 : 36 = 0 with a remainder of 2
|
| | | 0 | | | |
| 3 | 6 | 2 | 6 | 5 | 5 |
STEP 2: MULTIPLY 0 · 36 = 0
|
| | | 0 | | | |
| 3 | 6 | 2 | 6 | 5 | 5 |
| | | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | | |
| 3 | 6 | 2 | 6 | 5 | 5 |
| | – | 0 | | | |
| | | 2 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 3 | 6 | 2 | 6 | 5 | 5 |
| | – | 0 | | | |
| | | 2 | 6 | | |
STEP 5: DIVIDE 26 : 36 = 0 with a remainder of 26
|
| | | 0 | 0 | | |
| 3 | 6 | 2 | 6 | 5 | 5 |
| | – | 0 | | | |
| | | 2 | 6 | | |
STEP 6: MULTIPLY 0 · 36 = 0
|
| | | 0 | 0 | | |
| 3 | 6 | 2 | 6 | 5 | 5 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 26 - 0 = 26
|
| | | 0 | 0 | | |
| 3 | 6 | 2 | 6 | 5 | 5 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 3 | 6 | 2 | 6 | 5 | 5 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 5 | |
STEP 9: DIVIDE 265 : 36 = 7 with a remainder of 13
|
| | | 0 | 0 | 7 | |
| 3 | 6 | 2 | 6 | 5 | 5 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 5 | |
STEP 10: MULTIPLY 7 · 36 = 252
|
| | | 0 | 0 | 7 | |
| 3 | 6 | 2 | 6 | 5 | 5 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 5 | |
| | | 2 | 5 | 2 | |
STEP 11: SUBTRACT 265 - 252 = 13
|
| | | 0 | 0 | 7 | |
| 3 | 6 | 2 | 6 | 5 | 5 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 5 | |
| | – | 2 | 5 | 2 | |
| | | | 1 | 3 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 7 | |
| 3 | 6 | 2 | 6 | 5 | 5 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 5 | |
| | – | 2 | 5 | 2 | |
| | | | 1 | 3 | 5 |
STEP 13: DIVIDE 135 : 36 = 3 with a remainder of 27
|
| | | 0 | 0 | 7 | 3 |
| 3 | 6 | 2 | 6 | 5 | 5 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 5 | |
| | – | 2 | 5 | 2 | |
| | | | 1 | 3 | 5 |
STEP 14: MULTIPLY 3 · 36 = 108
|
| | | 0 | 0 | 7 | 3 |
| 3 | 6 | 2 | 6 | 5 | 5 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 5 | |
| | – | 2 | 5 | 2 | |
| | | | 1 | 3 | 5 |
| | | | 1 | 0 | 8 |
STEP 15: SUBTRACT 135 - 108 = 27
|
| | | 0 | 0 | 7 | 3 |
| 3 | 6 | 2 | 6 | 5 | 5 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 5 | |
| | – | 2 | 5 | 2 | |
| | | | 1 | 3 | 5 |
| | | – | 1 | 0 | 8 |
| | | | | 2 | 7 |
STEP 15: SUBTRACT 135 - 108 = 27
|
| | | 0 | 0 | 7 | 3 |
| 3 | 6 | 2 | 6 | 5 | 5 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 5 | |
| | – | 2 | 5 | 2 | |
| | | | 1 | 3 | 5 |
| | | – | 1 | 0 | 8 |
| | | | | 2 | 7 |
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