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Question
What is the quotient and remainder when $ 37956 $ is divided by $ 74575 $ ?
Answer
The quotient is 0 and the remainder is 37956.
Explanation
|
Division Table
|
| | | | | | 0 | 0 | 0 | 0 | 0 |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
| | | | | | – | 0 | | | |
| | | | | | 3 | 7 | 9 | | |
| | | | | | | – | 0 | | |
| | | | | | 3 | 7 | 9 | 5 | |
| | | | | | | | – | 0 | |
| | | | | | 3 | 7 | 9 | 5 | 6 |
| | | | | | | | | – | 0 |
| | | | | | 3 | 7 | 9 | 5 | 6 |
STEP 0: set up a division table
|
| | | | | | | | | | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
STEP 1: DIVIDE 3 : 74575 = 0 with a remainder of 3
|
| | | | | | 0 | | | | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
STEP 2: MULTIPLY 0 · 74575 = 0
|
| | | | | | 0 | | | | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | | 0 | | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | | | | 0 | | | | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | | | | |
|
STEP 4: BRING DOWN
|
| | | | | | 0 | | | | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
STEP 5: DIVIDE 37 : 74575 = 0 with a remainder of 37
|
| | | | | | 0 | 0 | | | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
STEP 6: MULTIPLY 0 · 74575 = 0
|
| | | | | | 0 | 0 | | | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
| | | | | | | 0 | | | |
STEP 7: SUBTRACT 37 - 0 = 37
|
| | | | | | 0 | 0 | | | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
| | | | | | – | 0 | | | |
| | | | | | 3 | 7 | | | |
|
STEP 8: BRING DOWN
|
| | | | | | 0 | 0 | | | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
| | | | | | – | 0 | | | |
| | | | | | 3 | 7 | 9 | | |
STEP 9: DIVIDE 379 : 74575 = 0 with a remainder of 379
|
| | | | | | 0 | 0 | 0 | | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
| | | | | | – | 0 | | | |
| | | | | | 3 | 7 | 9 | | |
STEP 10: MULTIPLY 0 · 74575 = 0
|
| | | | | | 0 | 0 | 0 | | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
| | | | | | – | 0 | | | |
| | | | | | 3 | 7 | 9 | | |
| | | | | | | | 0 | | |
STEP 11: SUBTRACT 379 - 0 = 379
|
| | | | | | 0 | 0 | 0 | | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
| | | | | | – | 0 | | | |
| | | | | | 3 | 7 | 9 | | |
| | | | | | | – | 0 | | |
| | | | | | 3 | 7 | 9 | | |
|
STEP 12: BRING DOWN
|
| | | | | | 0 | 0 | 0 | | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
| | | | | | – | 0 | | | |
| | | | | | 3 | 7 | 9 | | |
| | | | | | | – | 0 | | |
| | | | | | 3 | 7 | 9 | 5 | |
STEP 13: DIVIDE 3795 : 74575 = 0 with a remainder of 3795
|
| | | | | | 0 | 0 | 0 | 0 | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
| | | | | | – | 0 | | | |
| | | | | | 3 | 7 | 9 | | |
| | | | | | | – | 0 | | |
| | | | | | 3 | 7 | 9 | 5 | |
STEP 14: MULTIPLY 0 · 74575 = 0
|
| | | | | | 0 | 0 | 0 | 0 | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
| | | | | | – | 0 | | | |
| | | | | | 3 | 7 | 9 | | |
| | | | | | | – | 0 | | |
| | | | | | 3 | 7 | 9 | 5 | |
| | | | | | | | | 0 | |
STEP 15: SUBTRACT 3795 - 0 = 3795
|
| | | | | | 0 | 0 | 0 | 0 | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
| | | | | | – | 0 | | | |
| | | | | | 3 | 7 | 9 | | |
| | | | | | | – | 0 | | |
| | | | | | 3 | 7 | 9 | 5 | |
| | | | | | | | – | 0 | |
| | | | | | 3 | 7 | 9 | 5 | |
|
STEP 16: BRING DOWN
|
| | | | | | 0 | 0 | 0 | 0 | |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
| | | | | | – | 0 | | | |
| | | | | | 3 | 7 | 9 | | |
| | | | | | | – | 0 | | |
| | | | | | 3 | 7 | 9 | 5 | |
| | | | | | | | – | 0 | |
| | | | | | 3 | 7 | 9 | 5 | 6 |
STEP 17: DIVIDE 37956 : 74575 = 0 with a remainder of 37956
|
| | | | | | 0 | 0 | 0 | 0 | 0 |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
| | | | | | – | 0 | | | |
| | | | | | 3 | 7 | 9 | | |
| | | | | | | – | 0 | | |
| | | | | | 3 | 7 | 9 | 5 | |
| | | | | | | | – | 0 | |
| | | | | | 3 | 7 | 9 | 5 | 6 |
STEP 18: MULTIPLY 0 · 74575 = 0
|
| | | | | | 0 | 0 | 0 | 0 | 0 |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
| | | | | | – | 0 | | | |
| | | | | | 3 | 7 | 9 | | |
| | | | | | | – | 0 | | |
| | | | | | 3 | 7 | 9 | 5 | |
| | | | | | | | – | 0 | |
| | | | | | 3 | 7 | 9 | 5 | 6 |
| | | | | | | | | | 0 |
STEP 19: SUBTRACT 37956 - 0 = 37956
|
| | | | | | 0 | 0 | 0 | 0 | 0 |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
| | | | | | – | 0 | | | |
| | | | | | 3 | 7 | 9 | | |
| | | | | | | – | 0 | | |
| | | | | | 3 | 7 | 9 | 5 | |
| | | | | | | | – | 0 | |
| | | | | | 3 | 7 | 9 | 5 | 6 |
| | | | | | | | | – | 0 |
| | | | | | 3 | 7 | 9 | 5 | 6 |
STEP 19: SUBTRACT 37956 - 0 = 37956
|
| | | | | | 0 | 0 | 0 | 0 | 0 |
| 7 | 4 | 5 | 7 | 5 | 3 | 7 | 9 | 5 | 6 |
| | | | | – | 0 | | | | |
| | | | | | 3 | 7 | | | |
| | | | | | – | 0 | | | |
| | | | | | 3 | 7 | 9 | | |
| | | | | | | – | 0 | | |
| | | | | | 3 | 7 | 9 | 5 | |
| | | | | | | | – | 0 | |
| | | | | | 3 | 7 | 9 | 5 | 6 |
| | | | | | | | | – | 0 |
| | | | | | 3 | 7 | 9 | 5 | 6 |
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