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Question
What is the quotient and remainder when $ 3073 $ is divided by $ 49 $ ?
Answer
The quotient is 62 and the remainder is 35.
Explanation
|
Division Table
|
| | | 0 | 0 | 6 | 2 |
| 4 | 9 | 3 | 0 | 7 | 3 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 7 | |
| | – | 2 | 9 | 4 | |
| | | | 1 | 3 | 3 |
| | | | – | 9 | 8 |
| | | | | 3 | 5 |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 9 | 3 | 0 | 7 | 3 |
STEP 1: DIVIDE 3 : 49 = 0 with a remainder of 3
|
| | | 0 | | | |
| 4 | 9 | 3 | 0 | 7 | 3 |
STEP 2: MULTIPLY 0 · 49 = 0
|
| | | 0 | | | |
| 4 | 9 | 3 | 0 | 7 | 3 |
| | | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | 0 | | | |
| 4 | 9 | 3 | 0 | 7 | 3 |
| | – | 0 | | | |
| | | 3 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 4 | 9 | 3 | 0 | 7 | 3 |
| | – | 0 | | | |
| | | 3 | 0 | | |
STEP 5: DIVIDE 30 : 49 = 0 with a remainder of 30
|
| | | 0 | 0 | | |
| 4 | 9 | 3 | 0 | 7 | 3 |
| | – | 0 | | | |
| | | 3 | 0 | | |
STEP 6: MULTIPLY 0 · 49 = 0
|
| | | 0 | 0 | | |
| 4 | 9 | 3 | 0 | 7 | 3 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 30 - 0 = 30
|
| | | 0 | 0 | | |
| 4 | 9 | 3 | 0 | 7 | 3 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 4 | 9 | 3 | 0 | 7 | 3 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 7 | |
STEP 9: DIVIDE 307 : 49 = 6 with a remainder of 13
|
| | | 0 | 0 | 6 | |
| 4 | 9 | 3 | 0 | 7 | 3 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 7 | |
STEP 10: MULTIPLY 6 · 49 = 294
|
| | | 0 | 0 | 6 | |
| 4 | 9 | 3 | 0 | 7 | 3 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 7 | |
| | | 2 | 9 | 4 | |
STEP 11: SUBTRACT 307 - 294 = 13
|
| | | 0 | 0 | 6 | |
| 4 | 9 | 3 | 0 | 7 | 3 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 7 | |
| | – | 2 | 9 | 4 | |
| | | | 1 | 3 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 6 | |
| 4 | 9 | 3 | 0 | 7 | 3 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 7 | |
| | – | 2 | 9 | 4 | |
| | | | 1 | 3 | 3 |
STEP 13: DIVIDE 133 : 49 = 2 with a remainder of 35
|
| | | 0 | 0 | 6 | 2 |
| 4 | 9 | 3 | 0 | 7 | 3 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 7 | |
| | – | 2 | 9 | 4 | |
| | | | 1 | 3 | 3 |
STEP 14: MULTIPLY 2 · 49 = 98
|
| | | 0 | 0 | 6 | 2 |
| 4 | 9 | 3 | 0 | 7 | 3 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 7 | |
| | – | 2 | 9 | 4 | |
| | | | 1 | 3 | 3 |
| | | | | 9 | 8 |
STEP 15: SUBTRACT 133 - 98 = 35
|
| | | 0 | 0 | 6 | 2 |
| 4 | 9 | 3 | 0 | 7 | 3 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 7 | |
| | – | 2 | 9 | 4 | |
| | | | 1 | 3 | 3 |
| | | | – | 9 | 8 |
| | | | | 3 | 5 |
STEP 15: SUBTRACT 133 - 98 = 35
|
| | | 0 | 0 | 6 | 2 |
| 4 | 9 | 3 | 0 | 7 | 3 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 7 | |
| | – | 2 | 9 | 4 | |
| | | | 1 | 3 | 3 |
| | | | – | 9 | 8 |
| | | | | 3 | 5 |
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