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Question
What is the quotient and remainder when $ 347 $ is divided by $ 44 $ ?
Answer
The quotient is 7 and the remainder is 39.
Explanation
|
Division Table
|
| | | 0 | 0 | 7 |
| 4 | 4 | 3 | 4 | 7 |
| | – | 0 | | |
| | | 3 | 4 | |
| | | – | 0 | |
| | | 3 | 4 | 7 |
| | – | 3 | 0 | 8 |
| | | | 3 | 9 |
STEP 0: set up a division table
|
| | | | | |
| 4 | 4 | 3 | 4 | 7 |
STEP 1: DIVIDE 3 : 44 = 0 with a remainder of 3
|
| | | 0 | | |
| 4 | 4 | 3 | 4 | 7 |
STEP 2: MULTIPLY 0 · 44 = 0
|
| | | 0 | | |
| 4 | 4 | 3 | 4 | 7 |
| | | 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | 0 | | |
| 4 | 4 | 3 | 4 | 7 |
| | – | 0 | | |
| | | 3 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 4 | 4 | 3 | 4 | 7 |
| | – | 0 | | |
| | | 3 | 4 | |
STEP 5: DIVIDE 34 : 44 = 0 with a remainder of 34
|
| | | 0 | 0 | |
| 4 | 4 | 3 | 4 | 7 |
| | – | 0 | | |
| | | 3 | 4 | |
STEP 6: MULTIPLY 0 · 44 = 0
|
| | | 0 | 0 | |
| 4 | 4 | 3 | 4 | 7 |
| | – | 0 | | |
| | | 3 | 4 | |
| | | | 0 | |
STEP 7: SUBTRACT 34 - 0 = 34
|
| | | 0 | 0 | |
| 4 | 4 | 3 | 4 | 7 |
| | – | 0 | | |
| | | 3 | 4 | |
| | | – | 0 | |
| | | 3 | 4 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
| 4 | 4 | 3 | 4 | 7 |
| | – | 0 | | |
| | | 3 | 4 | |
| | | – | 0 | |
| | | 3 | 4 | 7 |
STEP 9: DIVIDE 347 : 44 = 7 with a remainder of 39
|
| | | 0 | 0 | 7 |
| 4 | 4 | 3 | 4 | 7 |
| | – | 0 | | |
| | | 3 | 4 | |
| | | – | 0 | |
| | | 3 | 4 | 7 |
STEP 10: MULTIPLY 7 · 44 = 308
|
| | | 0 | 0 | 7 |
| 4 | 4 | 3 | 4 | 7 |
| | – | 0 | | |
| | | 3 | 4 | |
| | | – | 0 | |
| | | 3 | 4 | 7 |
| | | 3 | 0 | 8 |
STEP 11: SUBTRACT 347 - 308 = 39
|
| | | 0 | 0 | 7 |
| 4 | 4 | 3 | 4 | 7 |
| | – | 0 | | |
| | | 3 | 4 | |
| | | – | 0 | |
| | | 3 | 4 | 7 |
| | – | 3 | 0 | 8 |
| | | | 3 | 9 |
STEP 11: SUBTRACT 347 - 308 = 39
|
| | | 0 | 0 | 7 |
| 4 | 4 | 3 | 4 | 7 |
| | – | 0 | | |
| | | 3 | 4 | |
| | | – | 0 | |
| | | 3 | 4 | 7 |
| | – | 3 | 0 | 8 |
| | | | 3 | 9 |
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