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What is the quotient and remainder when $ 575 $ is divided by $ 25 $ ?
Answer
The quotient is 23 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 2 | 3 |
2 | 5 | 5 | 7 | 5 |
| – | 0 | | |
| | 5 | 7 | |
| – | 5 | 0 | |
| | | 7 | 5 |
| | – | 7 | 5 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
2 | 5 | 5 | 7 | 5 |
STEP 1: DIVIDE 5 : 25 = 0 with a remainder of 5
|
| | 0 | | |
2 | 5 | 5 | 7 | 5 |
STEP 2: MULTIPLY 0 · 25 = 0
|
| | 0 | | |
2 | 5 | 5 | 7 | 5 |
| | 0 | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | 0 | | |
2 | 5 | 5 | 7 | 5 |
| – | 0 | | |
| | 5 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
2 | 5 | 5 | 7 | 5 |
| – | 0 | | |
| | 5 | 7 | |
STEP 5: DIVIDE 57 : 25 = 2 with a remainder of 7
|
| | 0 | 2 | |
2 | 5 | 5 | 7 | 5 |
| – | 0 | | |
| | 5 | 7 | |
STEP 6: MULTIPLY 2 · 25 = 50
|
| | 0 | 2 | |
2 | 5 | 5 | 7 | 5 |
| – | 0 | | |
| | 5 | 7 | |
| | 5 | 0 | |
STEP 7: SUBTRACT 57 - 50 = 7
|
| | 0 | 2 | |
2 | 5 | 5 | 7 | 5 |
| – | 0 | | |
| | 5 | 7 | |
| – | 5 | 0 | |
| | | 7 | |
STEP 8: BRING DOWN
|
| | 0 | 2 | |
2 | 5 | 5 | 7 | 5 |
| – | 0 | | |
| | 5 | 7 | |
| – | 5 | 0 | |
| | | 7 | 5 |
STEP 9: DIVIDE 75 : 25 = 3 with a remainder of 0
|
| | 0 | 2 | 3 |
2 | 5 | 5 | 7 | 5 |
| – | 0 | | |
| | 5 | 7 | |
| – | 5 | 0 | |
| | | 7 | 5 |
STEP 10: MULTIPLY 3 · 25 = 75
|
| | 0 | 2 | 3 |
2 | 5 | 5 | 7 | 5 |
| – | 0 | | |
| | 5 | 7 | |
| – | 5 | 0 | |
| | | 7 | 5 |
| | | 7 | 5 |
STEP 11: SUBTRACT 75 - 75 = 0
|
| | 0 | 2 | 3 |
2 | 5 | 5 | 7 | 5 |
| – | 0 | | |
| | 5 | 7 | |
| – | 5 | 0 | |
| | | 7 | 5 |
| | – | 7 | 5 |
| | | | 0 |
STEP 11: SUBTRACT 75 - 75 = 0
|
| | 0 | 2 | 3 |
2 | 5 | 5 | 7 | 5 |
| – | 0 | | |
| | 5 | 7 | |
| – | 5 | 0 | |
| | | 7 | 5 |
| | – | 7 | 5 |
| | | | 0 |
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