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Question
What is the quotient and remainder when $ 3791 $ is divided by $ 39 $ ?
Answer
The quotient is 97 and the remainder is 8.
Explanation
|
Division Table
|
| | | 0 | 0 | 9 | 7 |
| 3 | 9 | 3 | 7 | 9 | 1 |
| | – | 0 | | | |
| | | 3 | 7 | | |
| | | – | 0 | | |
| | | 3 | 7 | 9 | |
| | – | 3 | 5 | 1 | |
| | | | 2 | 8 | 1 |
| | | – | 2 | 7 | 3 |
| | | | | | 8 |
STEP 0: set up a division table
|
| | | | | | |
| 3 | 9 | 3 | 7 | 9 | 1 |
STEP 1: DIVIDE 3 : 39 = 0 with a remainder of 3
|
| | | 0 | | | |
| 3 | 9 | 3 | 7 | 9 | 1 |
STEP 2: MULTIPLY 0 · 39 = 0
|
| | | 0 | | | |
| 3 | 9 | 3 | 7 | 9 | 1 |
| | | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | 0 | | | |
| 3 | 9 | 3 | 7 | 9 | 1 |
| | – | 0 | | | |
| | | 3 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 3 | 9 | 3 | 7 | 9 | 1 |
| | – | 0 | | | |
| | | 3 | 7 | | |
STEP 5: DIVIDE 37 : 39 = 0 with a remainder of 37
|
| | | 0 | 0 | | |
| 3 | 9 | 3 | 7 | 9 | 1 |
| | – | 0 | | | |
| | | 3 | 7 | | |
STEP 6: MULTIPLY 0 · 39 = 0
|
| | | 0 | 0 | | |
| 3 | 9 | 3 | 7 | 9 | 1 |
| | – | 0 | | | |
| | | 3 | 7 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 37 - 0 = 37
|
| | | 0 | 0 | | |
| 3 | 9 | 3 | 7 | 9 | 1 |
| | – | 0 | | | |
| | | 3 | 7 | | |
| | | – | 0 | | |
| | | 3 | 7 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 3 | 9 | 3 | 7 | 9 | 1 |
| | – | 0 | | | |
| | | 3 | 7 | | |
| | | – | 0 | | |
| | | 3 | 7 | 9 | |
STEP 9: DIVIDE 379 : 39 = 9 with a remainder of 28
|
| | | 0 | 0 | 9 | |
| 3 | 9 | 3 | 7 | 9 | 1 |
| | – | 0 | | | |
| | | 3 | 7 | | |
| | | – | 0 | | |
| | | 3 | 7 | 9 | |
STEP 10: MULTIPLY 9 · 39 = 351
|
| | | 0 | 0 | 9 | |
| 3 | 9 | 3 | 7 | 9 | 1 |
| | – | 0 | | | |
| | | 3 | 7 | | |
| | | – | 0 | | |
| | | 3 | 7 | 9 | |
| | | 3 | 5 | 1 | |
STEP 11: SUBTRACT 379 - 351 = 28
|
| | | 0 | 0 | 9 | |
| 3 | 9 | 3 | 7 | 9 | 1 |
| | – | 0 | | | |
| | | 3 | 7 | | |
| | | – | 0 | | |
| | | 3 | 7 | 9 | |
| | – | 3 | 5 | 1 | |
| | | | 2 | 8 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 9 | |
| 3 | 9 | 3 | 7 | 9 | 1 |
| | – | 0 | | | |
| | | 3 | 7 | | |
| | | – | 0 | | |
| | | 3 | 7 | 9 | |
| | – | 3 | 5 | 1 | |
| | | | 2 | 8 | 1 |
STEP 13: DIVIDE 281 : 39 = 7 with a remainder of 8
|
| | | 0 | 0 | 9 | 7 |
| 3 | 9 | 3 | 7 | 9 | 1 |
| | – | 0 | | | |
| | | 3 | 7 | | |
| | | – | 0 | | |
| | | 3 | 7 | 9 | |
| | – | 3 | 5 | 1 | |
| | | | 2 | 8 | 1 |
STEP 14: MULTIPLY 7 · 39 = 273
|
| | | 0 | 0 | 9 | 7 |
| 3 | 9 | 3 | 7 | 9 | 1 |
| | – | 0 | | | |
| | | 3 | 7 | | |
| | | – | 0 | | |
| | | 3 | 7 | 9 | |
| | – | 3 | 5 | 1 | |
| | | | 2 | 8 | 1 |
| | | | 2 | 7 | 3 |
STEP 15: SUBTRACT 281 - 273 = 8
|
| | | 0 | 0 | 9 | 7 |
| 3 | 9 | 3 | 7 | 9 | 1 |
| | – | 0 | | | |
| | | 3 | 7 | | |
| | | – | 0 | | |
| | | 3 | 7 | 9 | |
| | – | 3 | 5 | 1 | |
| | | | 2 | 8 | 1 |
| | | – | 2 | 7 | 3 |
| | | | | | 8 |
STEP 15: SUBTRACT 281 - 273 = 8
|
| | | 0 | 0 | 9 | 7 |
| 3 | 9 | 3 | 7 | 9 | 1 |
| | – | 0 | | | |
| | | 3 | 7 | | |
| | | – | 0 | | |
| | | 3 | 7 | 9 | |
| | – | 3 | 5 | 1 | |
| | | | 2 | 8 | 1 |
| | | – | 2 | 7 | 3 |
| | | | | | 8 |
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