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Question
What is the quotient and remainder when $ 975 $ is divided by $ 25 $ ?
Answer
The quotient is 39 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 3 | 9 |
| 2 | 5 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
| | – | 7 | 5 | |
| | | 2 | 2 | 5 |
| | – | 2 | 2 | 5 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
| 2 | 5 | 9 | 7 | 5 |
STEP 1: DIVIDE 9 : 25 = 0 with a remainder of 9
|
| | | 0 | | |
| 2 | 5 | 9 | 7 | 5 |
STEP 2: MULTIPLY 0 · 25 = 0
|
| | | 0 | | |
| 2 | 5 | 9 | 7 | 5 |
| | | 0 | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | 0 | | |
| 2 | 5 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 2 | 5 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
STEP 5: DIVIDE 97 : 25 = 3 with a remainder of 22
|
| | | 0 | 3 | |
| 2 | 5 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
STEP 6: MULTIPLY 3 · 25 = 75
|
| | | 0 | 3 | |
| 2 | 5 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
| | | 7 | 5 | |
STEP 7: SUBTRACT 97 - 75 = 22
|
| | | 0 | 3 | |
| 2 | 5 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
| | – | 7 | 5 | |
| | | 2 | 2 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 3 | |
| 2 | 5 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
| | – | 7 | 5 | |
| | | 2 | 2 | 5 |
STEP 9: DIVIDE 225 : 25 = 9 with a remainder of 0
|
| | | 0 | 3 | 9 |
| 2 | 5 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
| | – | 7 | 5 | |
| | | 2 | 2 | 5 |
STEP 10: MULTIPLY 9 · 25 = 225
|
| | | 0 | 3 | 9 |
| 2 | 5 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
| | – | 7 | 5 | |
| | | 2 | 2 | 5 |
| | | 2 | 2 | 5 |
STEP 11: SUBTRACT 225 - 225 = 0
|
| | | 0 | 3 | 9 |
| 2 | 5 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
| | – | 7 | 5 | |
| | | 2 | 2 | 5 |
| | – | 2 | 2 | 5 |
| | | | | 0 |
STEP 11: SUBTRACT 225 - 225 = 0
|
| | | 0 | 3 | 9 |
| 2 | 5 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
| | – | 7 | 5 | |
| | | 2 | 2 | 5 |
| | – | 2 | 2 | 5 |
| | | | | 0 |
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