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Question
What is the quotient and remainder when $ 7225 $ is divided by $ 85000 $ ?
Answer
The quotient is 0 and the remainder is 7225.
Explanation
Division Table
|
| | | | | 0 | 0 | 0 | 0 |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
| | | | – | 0 | | | |
| | | | | 7 | 2 | | |
| | | | | – | 0 | | |
| | | | | 7 | 2 | 2 | |
| | | | | | – | 0 | |
| | | | | 7 | 2 | 2 | 5 |
| | | | | | | – | 0 |
| | | | | 7 | 2 | 2 | 5 |
STEP 0: set up a division table
|
| | | | | | | | |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
STEP 1: DIVIDE 7 : 85000 = 0 with a remainder of 7
|
| | | | | 0 | | | |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
STEP 2: MULTIPLY 0 · 85000 = 0
|
| | | | | 0 | | | |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
| | | | | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | | | 0 | | | |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
| | | | – | 0 | | | |
| | | | | 7 | | | |
STEP 4: BRING DOWN
|
| | | | | 0 | | | |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
| | | | – | 0 | | | |
| | | | | 7 | 2 | | |
STEP 5: DIVIDE 72 : 85000 = 0 with a remainder of 72
|
| | | | | 0 | 0 | | |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
| | | | – | 0 | | | |
| | | | | 7 | 2 | | |
STEP 6: MULTIPLY 0 · 85000 = 0
|
| | | | | 0 | 0 | | |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
| | | | – | 0 | | | |
| | | | | 7 | 2 | | |
| | | | | | 0 | | |
STEP 7: SUBTRACT 72 - 0 = 72
|
| | | | | 0 | 0 | | |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
| | | | – | 0 | | | |
| | | | | 7 | 2 | | |
| | | | | – | 0 | | |
| | | | | 7 | 2 | | |
STEP 8: BRING DOWN
|
| | | | | 0 | 0 | | |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
| | | | – | 0 | | | |
| | | | | 7 | 2 | | |
| | | | | – | 0 | | |
| | | | | 7 | 2 | 2 | |
STEP 9: DIVIDE 722 : 85000 = 0 with a remainder of 722
|
| | | | | 0 | 0 | 0 | |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
| | | | – | 0 | | | |
| | | | | 7 | 2 | | |
| | | | | – | 0 | | |
| | | | | 7 | 2 | 2 | |
STEP 10: MULTIPLY 0 · 85000 = 0
|
| | | | | 0 | 0 | 0 | |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
| | | | – | 0 | | | |
| | | | | 7 | 2 | | |
| | | | | – | 0 | | |
| | | | | 7 | 2 | 2 | |
| | | | | | | 0 | |
STEP 11: SUBTRACT 722 - 0 = 722
|
| | | | | 0 | 0 | 0 | |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
| | | | – | 0 | | | |
| | | | | 7 | 2 | | |
| | | | | – | 0 | | |
| | | | | 7 | 2 | 2 | |
| | | | | | – | 0 | |
| | | | | 7 | 2 | 2 | |
STEP 12: BRING DOWN
|
| | | | | 0 | 0 | 0 | |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
| | | | – | 0 | | | |
| | | | | 7 | 2 | | |
| | | | | – | 0 | | |
| | | | | 7 | 2 | 2 | |
| | | | | | – | 0 | |
| | | | | 7 | 2 | 2 | 5 |
STEP 13: DIVIDE 7225 : 85000 = 0 with a remainder of 7225
|
| | | | | 0 | 0 | 0 | 0 |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
| | | | – | 0 | | | |
| | | | | 7 | 2 | | |
| | | | | – | 0 | | |
| | | | | 7 | 2 | 2 | |
| | | | | | – | 0 | |
| | | | | 7 | 2 | 2 | 5 |
STEP 14: MULTIPLY 0 · 85000 = 0
|
| | | | | 0 | 0 | 0 | 0 |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
| | | | – | 0 | | | |
| | | | | 7 | 2 | | |
| | | | | – | 0 | | |
| | | | | 7 | 2 | 2 | |
| | | | | | – | 0 | |
| | | | | 7 | 2 | 2 | 5 |
| | | | | | | | 0 |
STEP 15: SUBTRACT 7225 - 0 = 7225
|
| | | | | 0 | 0 | 0 | 0 |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
| | | | – | 0 | | | |
| | | | | 7 | 2 | | |
| | | | | – | 0 | | |
| | | | | 7 | 2 | 2 | |
| | | | | | – | 0 | |
| | | | | 7 | 2 | 2 | 5 |
| | | | | | | – | 0 |
| | | | | 7 | 2 | 2 | 5 |
STEP 15: SUBTRACT 7225 - 0 = 7225
|
| | | | | 0 | 0 | 0 | 0 |
8 | 5 | 0 | 0 | 0 | 7 | 2 | 2 | 5 |
| | | | – | 0 | | | |
| | | | | 7 | 2 | | |
| | | | | – | 0 | | |
| | | | | 7 | 2 | 2 | |
| | | | | | – | 0 | |
| | | | | 7 | 2 | 2 | 5 |
| | | | | | | – | 0 |
| | | | | 7 | 2 | 2 | 5 |
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