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Question
What is the quotient and remainder when $ 2655 $ is divided by $ 45 $ ?
Answer
The quotient is 59 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 0 | 5 | 9 |
4 | 5 | 2 | 6 | 5 | 5 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 5 | |
| – | 2 | 2 | 5 | |
| | | 4 | 0 | 5 |
| | – | 4 | 0 | 5 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
4 | 5 | 2 | 6 | 5 | 5 |
STEP 1: DIVIDE 2 : 45 = 0 with a remainder of 2
|
| | 0 | | | |
4 | 5 | 2 | 6 | 5 | 5 |
STEP 2: MULTIPLY 0 · 45 = 0
|
| | 0 | | | |
4 | 5 | 2 | 6 | 5 | 5 |
| | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | | |
4 | 5 | 2 | 6 | 5 | 5 |
| – | 0 | | | |
| | 2 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
4 | 5 | 2 | 6 | 5 | 5 |
| – | 0 | | | |
| | 2 | 6 | | |
STEP 5: DIVIDE 26 : 45 = 0 with a remainder of 26
|
| | 0 | 0 | | |
4 | 5 | 2 | 6 | 5 | 5 |
| – | 0 | | | |
| | 2 | 6 | | |
STEP 6: MULTIPLY 0 · 45 = 0
|
| | 0 | 0 | | |
4 | 5 | 2 | 6 | 5 | 5 |
| – | 0 | | | |
| | 2 | 6 | | |
| | | 0 | | |
STEP 7: SUBTRACT 26 - 0 = 26
|
| | 0 | 0 | | |
4 | 5 | 2 | 6 | 5 | 5 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
4 | 5 | 2 | 6 | 5 | 5 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 5 | |
STEP 9: DIVIDE 265 : 45 = 5 with a remainder of 40
|
| | 0 | 0 | 5 | |
4 | 5 | 2 | 6 | 5 | 5 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 5 | |
STEP 10: MULTIPLY 5 · 45 = 225
|
| | 0 | 0 | 5 | |
4 | 5 | 2 | 6 | 5 | 5 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 5 | |
| | 2 | 2 | 5 | |
STEP 11: SUBTRACT 265 - 225 = 40
|
| | 0 | 0 | 5 | |
4 | 5 | 2 | 6 | 5 | 5 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 5 | |
| – | 2 | 2 | 5 | |
| | | 4 | 0 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 5 | |
4 | 5 | 2 | 6 | 5 | 5 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 5 | |
| – | 2 | 2 | 5 | |
| | | 4 | 0 | 5 |
STEP 13: DIVIDE 405 : 45 = 9 with a remainder of 0
|
| | 0 | 0 | 5 | 9 |
4 | 5 | 2 | 6 | 5 | 5 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 5 | |
| – | 2 | 2 | 5 | |
| | | 4 | 0 | 5 |
STEP 14: MULTIPLY 9 · 45 = 405
|
| | 0 | 0 | 5 | 9 |
4 | 5 | 2 | 6 | 5 | 5 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 5 | |
| – | 2 | 2 | 5 | |
| | | 4 | 0 | 5 |
| | | 4 | 0 | 5 |
STEP 15: SUBTRACT 405 - 405 = 0
|
| | 0 | 0 | 5 | 9 |
4 | 5 | 2 | 6 | 5 | 5 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 5 | |
| – | 2 | 2 | 5 | |
| | | 4 | 0 | 5 |
| | – | 4 | 0 | 5 |
| | | | | 0 |
STEP 15: SUBTRACT 405 - 405 = 0
|
| | 0 | 0 | 5 | 9 |
4 | 5 | 2 | 6 | 5 | 5 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 5 | |
| – | 2 | 2 | 5 | |
| | | 4 | 0 | 5 |
| | – | 4 | 0 | 5 |
| | | | | 0 |
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