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Question
What is the quotient and remainder when $ 5678 $ is divided by $ 49 $ ?
Answer
The quotient is 115 and the remainder is 43.
Explanation
|
Division Table
|
| | | 0 | 1 | 1 | 5 |
| 4 | 9 | 5 | 6 | 7 | 8 |
| | – | 0 | | | |
| | | 5 | 6 | | |
| | – | 4 | 9 | | |
| | | | 7 | 7 | |
| | | – | 4 | 9 | |
| | | | 2 | 8 | 8 |
| | | – | 2 | 4 | 5 |
| | | | | 4 | 3 |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 9 | 5 | 6 | 7 | 8 |
STEP 1: DIVIDE 5 : 49 = 0 with a remainder of 5
|
| | | 0 | | | |
| 4 | 9 | 5 | 6 | 7 | 8 |
STEP 2: MULTIPLY 0 · 49 = 0
|
| | | 0 | | | |
| 4 | 9 | 5 | 6 | 7 | 8 |
| | | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | 0 | | | |
| 4 | 9 | 5 | 6 | 7 | 8 |
| | – | 0 | | | |
| | | 5 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 4 | 9 | 5 | 6 | 7 | 8 |
| | – | 0 | | | |
| | | 5 | 6 | | |
STEP 5: DIVIDE 56 : 49 = 1 with a remainder of 7
|
| | | 0 | 1 | | |
| 4 | 9 | 5 | 6 | 7 | 8 |
| | – | 0 | | | |
| | | 5 | 6 | | |
STEP 6: MULTIPLY 1 · 49 = 49
|
| | | 0 | 1 | | |
| 4 | 9 | 5 | 6 | 7 | 8 |
| | – | 0 | | | |
| | | 5 | 6 | | |
| | | 4 | 9 | | |
STEP 7: SUBTRACT 56 - 49 = 7
|
| | | 0 | 1 | | |
| 4 | 9 | 5 | 6 | 7 | 8 |
| | – | 0 | | | |
| | | 5 | 6 | | |
| | – | 4 | 9 | | |
| | | | 7 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 4 | 9 | 5 | 6 | 7 | 8 |
| | – | 0 | | | |
| | | 5 | 6 | | |
| | – | 4 | 9 | | |
| | | | 7 | 7 | |
STEP 9: DIVIDE 77 : 49 = 1 with a remainder of 28
|
| | | 0 | 1 | 1 | |
| 4 | 9 | 5 | 6 | 7 | 8 |
| | – | 0 | | | |
| | | 5 | 6 | | |
| | – | 4 | 9 | | |
| | | | 7 | 7 | |
STEP 10: MULTIPLY 1 · 49 = 49
|
| | | 0 | 1 | 1 | |
| 4 | 9 | 5 | 6 | 7 | 8 |
| | – | 0 | | | |
| | | 5 | 6 | | |
| | – | 4 | 9 | | |
| | | | 7 | 7 | |
| | | | 4 | 9 | |
STEP 11: SUBTRACT 77 - 49 = 28
|
| | | 0 | 1 | 1 | |
| 4 | 9 | 5 | 6 | 7 | 8 |
| | – | 0 | | | |
| | | 5 | 6 | | |
| | – | 4 | 9 | | |
| | | | 7 | 7 | |
| | | – | 4 | 9 | |
| | | | 2 | 8 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 1 | |
| 4 | 9 | 5 | 6 | 7 | 8 |
| | – | 0 | | | |
| | | 5 | 6 | | |
| | – | 4 | 9 | | |
| | | | 7 | 7 | |
| | | – | 4 | 9 | |
| | | | 2 | 8 | 8 |
STEP 13: DIVIDE 288 : 49 = 5 with a remainder of 43
|
| | | 0 | 1 | 1 | 5 |
| 4 | 9 | 5 | 6 | 7 | 8 |
| | – | 0 | | | |
| | | 5 | 6 | | |
| | – | 4 | 9 | | |
| | | | 7 | 7 | |
| | | – | 4 | 9 | |
| | | | 2 | 8 | 8 |
STEP 14: MULTIPLY 5 · 49 = 245
|
| | | 0 | 1 | 1 | 5 |
| 4 | 9 | 5 | 6 | 7 | 8 |
| | – | 0 | | | |
| | | 5 | 6 | | |
| | – | 4 | 9 | | |
| | | | 7 | 7 | |
| | | – | 4 | 9 | |
| | | | 2 | 8 | 8 |
| | | | 2 | 4 | 5 |
STEP 15: SUBTRACT 288 - 245 = 43
|
| | | 0 | 1 | 1 | 5 |
| 4 | 9 | 5 | 6 | 7 | 8 |
| | – | 0 | | | |
| | | 5 | 6 | | |
| | – | 4 | 9 | | |
| | | | 7 | 7 | |
| | | – | 4 | 9 | |
| | | | 2 | 8 | 8 |
| | | – | 2 | 4 | 5 |
| | | | | 4 | 3 |
STEP 15: SUBTRACT 288 - 245 = 43
|
| | | 0 | 1 | 1 | 5 |
| 4 | 9 | 5 | 6 | 7 | 8 |
| | – | 0 | | | |
| | | 5 | 6 | | |
| | – | 4 | 9 | | |
| | | | 7 | 7 | |
| | | – | 4 | 9 | |
| | | | 2 | 8 | 8 |
| | | – | 2 | 4 | 5 |
| | | | | 4 | 3 |
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