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What is the quotient and remainder when $ 7039 $ is divided by $ 343 $ ?
Answer
The quotient is 20 and the remainder is 179.
Explanation
Division Table
|
| | | 0 | 0 | 2 | 0 |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 3 | |
| | – | 6 | 8 | 6 | |
| | | | 1 | 7 | 9 |
| | | | | – | 0 |
| | | | 1 | 7 | 9 |
STEP 0: set up a division table
|
| | | | | | |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
STEP 1: DIVIDE 7 : 343 = 0 with a remainder of 7
|
| | | 0 | | | |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
STEP 2: MULTIPLY 0 · 343 = 0
|
| | | 0 | | | |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
| | | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | | |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
| | – | 0 | | | |
| | | 7 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
| | – | 0 | | | |
| | | 7 | 0 | | |
STEP 5: DIVIDE 70 : 343 = 0 with a remainder of 70
|
| | | 0 | 0 | | |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
| | – | 0 | | | |
| | | 7 | 0 | | |
STEP 6: MULTIPLY 0 · 343 = 0
|
| | | 0 | 0 | | |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 70 - 0 = 70
|
| | | 0 | 0 | | |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 3 | |
STEP 9: DIVIDE 703 : 343 = 2 with a remainder of 17
|
| | | 0 | 0 | 2 | |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 3 | |
STEP 10: MULTIPLY 2 · 343 = 686
|
| | | 0 | 0 | 2 | |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 3 | |
| | | 6 | 8 | 6 | |
STEP 11: SUBTRACT 703 - 686 = 17
|
| | | 0 | 0 | 2 | |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 3 | |
| | – | 6 | 8 | 6 | |
| | | | 1 | 7 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 2 | |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 3 | |
| | – | 6 | 8 | 6 | |
| | | | 1 | 7 | 9 |
STEP 13: DIVIDE 179 : 343 = 0 with a remainder of 179
|
| | | 0 | 0 | 2 | 0 |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 3 | |
| | – | 6 | 8 | 6 | |
| | | | 1 | 7 | 9 |
STEP 14: MULTIPLY 0 · 343 = 0
|
| | | 0 | 0 | 2 | 0 |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 3 | |
| | – | 6 | 8 | 6 | |
| | | | 1 | 7 | 9 |
| | | | | | 0 |
STEP 15: SUBTRACT 179 - 0 = 179
|
| | | 0 | 0 | 2 | 0 |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 3 | |
| | – | 6 | 8 | 6 | |
| | | | 1 | 7 | 9 |
| | | | | – | 0 |
| | | | 1 | 7 | 9 |
STEP 15: SUBTRACT 179 - 0 = 179
|
| | | 0 | 0 | 2 | 0 |
3 | 4 | 3 | 7 | 0 | 3 | 9 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 3 | |
| | – | 6 | 8 | 6 | |
| | | | 1 | 7 | 9 |
| | | | | – | 0 |
| | | | 1 | 7 | 9 |
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