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Question
What is the quotient and remainder when $ 685 $ is divided by $ 25 $ ?
Answer
The quotient is 27 and the remainder is 10.
Explanation
|
Division Table
|
| | | 0 | 2 | 7 |
| 2 | 5 | 6 | 8 | 5 |
| | – | 0 | | |
| | | 6 | 8 | |
| | – | 5 | 0 | |
| | | 1 | 8 | 5 |
| | – | 1 | 7 | 5 |
| | | | 1 | 0 |
STEP 0: set up a division table
|
| | | | | |
| 2 | 5 | 6 | 8 | 5 |
STEP 1: DIVIDE 6 : 25 = 0 with a remainder of 6
|
| | | 0 | | |
| 2 | 5 | 6 | 8 | 5 |
STEP 2: MULTIPLY 0 · 25 = 0
|
| | | 0 | | |
| 2 | 5 | 6 | 8 | 5 |
| | | 0 | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | 0 | | |
| 2 | 5 | 6 | 8 | 5 |
| | – | 0 | | |
| | | 6 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 2 | 5 | 6 | 8 | 5 |
| | – | 0 | | |
| | | 6 | 8 | |
STEP 5: DIVIDE 68 : 25 = 2 with a remainder of 18
|
| | | 0 | 2 | |
| 2 | 5 | 6 | 8 | 5 |
| | – | 0 | | |
| | | 6 | 8 | |
STEP 6: MULTIPLY 2 · 25 = 50
|
| | | 0 | 2 | |
| 2 | 5 | 6 | 8 | 5 |
| | – | 0 | | |
| | | 6 | 8 | |
| | | 5 | 0 | |
STEP 7: SUBTRACT 68 - 50 = 18
|
| | | 0 | 2 | |
| 2 | 5 | 6 | 8 | 5 |
| | – | 0 | | |
| | | 6 | 8 | |
| | – | 5 | 0 | |
| | | 1 | 8 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | |
| 2 | 5 | 6 | 8 | 5 |
| | – | 0 | | |
| | | 6 | 8 | |
| | – | 5 | 0 | |
| | | 1 | 8 | 5 |
STEP 9: DIVIDE 185 : 25 = 7 with a remainder of 10
|
| | | 0 | 2 | 7 |
| 2 | 5 | 6 | 8 | 5 |
| | – | 0 | | |
| | | 6 | 8 | |
| | – | 5 | 0 | |
| | | 1 | 8 | 5 |
STEP 10: MULTIPLY 7 · 25 = 175
|
| | | 0 | 2 | 7 |
| 2 | 5 | 6 | 8 | 5 |
| | – | 0 | | |
| | | 6 | 8 | |
| | – | 5 | 0 | |
| | | 1 | 8 | 5 |
| | | 1 | 7 | 5 |
STEP 11: SUBTRACT 185 - 175 = 10
|
| | | 0 | 2 | 7 |
| 2 | 5 | 6 | 8 | 5 |
| | – | 0 | | |
| | | 6 | 8 | |
| | – | 5 | 0 | |
| | | 1 | 8 | 5 |
| | – | 1 | 7 | 5 |
| | | | 1 | 0 |
STEP 11: SUBTRACT 185 - 175 = 10
|
| | | 0 | 2 | 7 |
| 2 | 5 | 6 | 8 | 5 |
| | – | 0 | | |
| | | 6 | 8 | |
| | – | 5 | 0 | |
| | | 1 | 8 | 5 |
| | – | 1 | 7 | 5 |
| | | | 1 | 0 |
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