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Question
What is the quotient and remainder when $ 80000 $ is divided by $ 30 $ ?
Answer
The quotient is 2666 and the remainder is 20.
Explanation
|
Division Table
|
| | | 0 | 2 | 6 | 6 | 6 |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
| | – | 6 | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 8 | 0 | | |
| | | | 2 | 0 | 0 | |
| | | – | 1 | 8 | 0 | |
| | | | | 2 | 0 | 0 |
| | | | – | 1 | 8 | 0 |
| | | | | | 2 | 0 |
STEP 0: set up a division table
|
| | | | | | | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
STEP 1: DIVIDE 8 : 30 = 0 with a remainder of 8
|
| | | 0 | | | | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
STEP 2: MULTIPLY 0 · 30 = 0
|
| | | 0 | | | | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | | 0 | | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | | | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
STEP 5: DIVIDE 80 : 30 = 2 with a remainder of 20
|
| | | 0 | 2 | | | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
STEP 6: MULTIPLY 2 · 30 = 60
|
| | | 0 | 2 | | | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
| | | 6 | 0 | | | |
STEP 7: SUBTRACT 80 - 60 = 20
|
| | | 0 | 2 | | | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
| | – | 6 | 0 | | | |
| | | 2 | 0 | | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | | | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
| | – | 6 | 0 | | | |
| | | 2 | 0 | 0 | | |
STEP 9: DIVIDE 200 : 30 = 6 with a remainder of 20
|
| | | 0 | 2 | 6 | | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
| | – | 6 | 0 | | | |
| | | 2 | 0 | 0 | | |
STEP 10: MULTIPLY 6 · 30 = 180
|
| | | 0 | 2 | 6 | | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
| | – | 6 | 0 | | | |
| | | 2 | 0 | 0 | | |
| | | 1 | 8 | 0 | | |
STEP 11: SUBTRACT 200 - 180 = 20
|
| | | 0 | 2 | 6 | | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
| | – | 6 | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 8 | 0 | | |
| | | | 2 | 0 | | |
|
STEP 12: BRING DOWN
|
| | | 0 | 2 | 6 | | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
| | – | 6 | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 8 | 0 | | |
| | | | 2 | 0 | 0 | |
STEP 13: DIVIDE 200 : 30 = 6 with a remainder of 20
|
| | | 0 | 2 | 6 | 6 | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
| | – | 6 | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 8 | 0 | | |
| | | | 2 | 0 | 0 | |
STEP 14: MULTIPLY 6 · 30 = 180
|
| | | 0 | 2 | 6 | 6 | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
| | – | 6 | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 8 | 0 | | |
| | | | 2 | 0 | 0 | |
| | | | 1 | 8 | 0 | |
STEP 15: SUBTRACT 200 - 180 = 20
|
| | | 0 | 2 | 6 | 6 | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
| | – | 6 | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 8 | 0 | | |
| | | | 2 | 0 | 0 | |
| | | – | 1 | 8 | 0 | |
| | | | | 2 | 0 | |
|
STEP 16: BRING DOWN
|
| | | 0 | 2 | 6 | 6 | |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
| | – | 6 | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 8 | 0 | | |
| | | | 2 | 0 | 0 | |
| | | – | 1 | 8 | 0 | |
| | | | | 2 | 0 | 0 |
STEP 17: DIVIDE 200 : 30 = 6 with a remainder of 20
|
| | | 0 | 2 | 6 | 6 | 6 |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
| | – | 6 | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 8 | 0 | | |
| | | | 2 | 0 | 0 | |
| | | – | 1 | 8 | 0 | |
| | | | | 2 | 0 | 0 |
STEP 18: MULTIPLY 6 · 30 = 180
|
| | | 0 | 2 | 6 | 6 | 6 |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
| | – | 6 | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 8 | 0 | | |
| | | | 2 | 0 | 0 | |
| | | – | 1 | 8 | 0 | |
| | | | | 2 | 0 | 0 |
| | | | | 1 | 8 | 0 |
STEP 19: SUBTRACT 200 - 180 = 20
|
| | | 0 | 2 | 6 | 6 | 6 |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
| | – | 6 | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 8 | 0 | | |
| | | | 2 | 0 | 0 | |
| | | – | 1 | 8 | 0 | |
| | | | | 2 | 0 | 0 |
| | | | – | 1 | 8 | 0 |
| | | | | | 2 | 0 |
STEP 19: SUBTRACT 200 - 180 = 20
|
| | | 0 | 2 | 6 | 6 | 6 |
| 3 | 0 | 8 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 8 | 0 | | | |
| | – | 6 | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 8 | 0 | | |
| | | | 2 | 0 | 0 | |
| | | – | 1 | 8 | 0 | |
| | | | | 2 | 0 | 0 |
| | | | – | 1 | 8 | 0 |
| | | | | | 2 | 0 |
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