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What is the quotient and remainder when $ 3000 $ is divided by $ 340 $ ?
Answer
The quotient is 8 and the remainder is 280.
Explanation
Division Table
|
| | | 0 | 0 | 0 | 8 |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 0 | |
| | | | – | 0 | |
| | | 3 | 0 | 0 | 0 |
| | – | 2 | 7 | 2 | 0 |
| | | | 2 | 8 | 0 |
STEP 0: set up a division table
|
| | | | | | |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
STEP 1: DIVIDE 3 : 340 = 0 with a remainder of 3
|
| | | 0 | | | |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
STEP 2: MULTIPLY 0 · 340 = 0
|
| | | 0 | | | |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | 0 | | | |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
STEP 5: DIVIDE 30 : 340 = 0 with a remainder of 30
|
| | | 0 | 0 | | |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
STEP 6: MULTIPLY 0 · 340 = 0
|
| | | 0 | 0 | | |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 30 - 0 = 30
|
| | | 0 | 0 | | |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 0 | |
STEP 9: DIVIDE 300 : 340 = 0 with a remainder of 300
|
| | | 0 | 0 | 0 | |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 0 | |
STEP 10: MULTIPLY 0 · 340 = 0
|
| | | 0 | 0 | 0 | |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 0 | |
| | | | | 0 | |
STEP 11: SUBTRACT 300 - 0 = 300
|
| | | 0 | 0 | 0 | |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 0 | |
| | | | – | 0 | |
| | | 3 | 0 | 0 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 0 | |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 0 | |
| | | | – | 0 | |
| | | 3 | 0 | 0 | 0 |
STEP 13: DIVIDE 3000 : 340 = 8 with a remainder of 280
|
| | | 0 | 0 | 0 | 8 |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 0 | |
| | | | – | 0 | |
| | | 3 | 0 | 0 | 0 |
STEP 14: MULTIPLY 8 · 340 = 2720
|
| | | 0 | 0 | 0 | 8 |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 0 | |
| | | | – | 0 | |
| | | 3 | 0 | 0 | 0 |
| | | 2 | 7 | 2 | 0 |
STEP 15: SUBTRACT 3000 - 2720 = 280
|
| | | 0 | 0 | 0 | 8 |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 0 | |
| | | | – | 0 | |
| | | 3 | 0 | 0 | 0 |
| | – | 2 | 7 | 2 | 0 |
| | | | 2 | 8 | 0 |
STEP 15: SUBTRACT 3000 - 2720 = 280
|
| | | 0 | 0 | 0 | 8 |
3 | 4 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | – | 0 | | |
| | | 3 | 0 | 0 | |
| | | | – | 0 | |
| | | 3 | 0 | 0 | 0 |
| | – | 2 | 7 | 2 | 0 |
| | | | 2 | 8 | 0 |
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