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Question
What is the quotient and remainder when $ 3925 $ is divided by $ 10000 $ ?
Answer
The quotient is 0 and the remainder is 3925.
Explanation
|
Division Table
|
| | | | | | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
| | | | | – | 0 | | | |
| | | | | | 3 | 9 | | |
| | | | | | – | 0 | | |
| | | | | | 3 | 9 | 2 | |
| | | | | | | – | 0 | |
| | | | | | 3 | 9 | 2 | 5 |
| | | | | | | | – | 0 |
| | | | | | 3 | 9 | 2 | 5 |
STEP 0: set up a division table
|
| | | | | | | | | |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
STEP 1: DIVIDE 3 : 10000 = 0 with a remainder of 3
|
| | | | | | 0 | | | |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
STEP 2: MULTIPLY 0 · 10000 = 0
|
| | | | | | 0 | | | |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
| | | | | | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | | | | 0 | | | |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
| | | | | – | 0 | | | |
| | | | | | 3 | | | |
|
STEP 4: BRING DOWN
|
| | | | | | 0 | | | |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
| | | | | – | 0 | | | |
| | | | | | 3 | 9 | | |
STEP 5: DIVIDE 39 : 10000 = 0 with a remainder of 39
|
| | | | | | 0 | 0 | | |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
| | | | | – | 0 | | | |
| | | | | | 3 | 9 | | |
STEP 6: MULTIPLY 0 · 10000 = 0
|
| | | | | | 0 | 0 | | |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
| | | | | – | 0 | | | |
| | | | | | 3 | 9 | | |
| | | | | | | 0 | | |
STEP 7: SUBTRACT 39 - 0 = 39
|
| | | | | | 0 | 0 | | |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
| | | | | – | 0 | | | |
| | | | | | 3 | 9 | | |
| | | | | | – | 0 | | |
| | | | | | 3 | 9 | | |
|
STEP 8: BRING DOWN
|
| | | | | | 0 | 0 | | |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
| | | | | – | 0 | | | |
| | | | | | 3 | 9 | | |
| | | | | | – | 0 | | |
| | | | | | 3 | 9 | 2 | |
STEP 9: DIVIDE 392 : 10000 = 0 with a remainder of 392
|
| | | | | | 0 | 0 | 0 | |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
| | | | | – | 0 | | | |
| | | | | | 3 | 9 | | |
| | | | | | – | 0 | | |
| | | | | | 3 | 9 | 2 | |
STEP 10: MULTIPLY 0 · 10000 = 0
|
| | | | | | 0 | 0 | 0 | |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
| | | | | – | 0 | | | |
| | | | | | 3 | 9 | | |
| | | | | | – | 0 | | |
| | | | | | 3 | 9 | 2 | |
| | | | | | | | 0 | |
STEP 11: SUBTRACT 392 - 0 = 392
|
| | | | | | 0 | 0 | 0 | |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
| | | | | – | 0 | | | |
| | | | | | 3 | 9 | | |
| | | | | | – | 0 | | |
| | | | | | 3 | 9 | 2 | |
| | | | | | | – | 0 | |
| | | | | | 3 | 9 | 2 | |
|
STEP 12: BRING DOWN
|
| | | | | | 0 | 0 | 0 | |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
| | | | | – | 0 | | | |
| | | | | | 3 | 9 | | |
| | | | | | – | 0 | | |
| | | | | | 3 | 9 | 2 | |
| | | | | | | – | 0 | |
| | | | | | 3 | 9 | 2 | 5 |
STEP 13: DIVIDE 3925 : 10000 = 0 with a remainder of 3925
|
| | | | | | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
| | | | | – | 0 | | | |
| | | | | | 3 | 9 | | |
| | | | | | – | 0 | | |
| | | | | | 3 | 9 | 2 | |
| | | | | | | – | 0 | |
| | | | | | 3 | 9 | 2 | 5 |
STEP 14: MULTIPLY 0 · 10000 = 0
|
| | | | | | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
| | | | | – | 0 | | | |
| | | | | | 3 | 9 | | |
| | | | | | – | 0 | | |
| | | | | | 3 | 9 | 2 | |
| | | | | | | – | 0 | |
| | | | | | 3 | 9 | 2 | 5 |
| | | | | | | | | 0 |
STEP 15: SUBTRACT 3925 - 0 = 3925
|
| | | | | | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
| | | | | – | 0 | | | |
| | | | | | 3 | 9 | | |
| | | | | | – | 0 | | |
| | | | | | 3 | 9 | 2 | |
| | | | | | | – | 0 | |
| | | | | | 3 | 9 | 2 | 5 |
| | | | | | | | – | 0 |
| | | | | | 3 | 9 | 2 | 5 |
STEP 15: SUBTRACT 3925 - 0 = 3925
|
| | | | | | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 3 | 9 | 2 | 5 |
| | | | | – | 0 | | | |
| | | | | | 3 | 9 | | |
| | | | | | – | 0 | | |
| | | | | | 3 | 9 | 2 | |
| | | | | | | – | 0 | |
| | | | | | 3 | 9 | 2 | 5 |
| | | | | | | | – | 0 |
| | | | | | 3 | 9 | 2 | 5 |
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