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Question
What is the quotient and remainder when $ 280 $ is divided by $ 180 $ ?
Answer
The quotient is 1 and the remainder is 100.
Explanation
Division Table
|
| | | 0 | 0 | 1 |
1 | 8 | 0 | 2 | 8 | 0 |
| | – | 0 | | |
| | | 2 | 8 | |
| | | – | 0 | |
| | | 2 | 8 | 0 |
| | – | 1 | 8 | 0 |
| | | 1 | 0 | 0 |
STEP 0: set up a division table
|
| | | | | |
1 | 8 | 0 | 2 | 8 | 0 |
STEP 1: DIVIDE 2 : 180 = 0 with a remainder of 2
|
| | | 0 | | |
1 | 8 | 0 | 2 | 8 | 0 |
STEP 2: MULTIPLY 0 · 180 = 0
|
| | | 0 | | |
1 | 8 | 0 | 2 | 8 | 0 |
| | | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | |
1 | 8 | 0 | 2 | 8 | 0 |
| | – | 0 | | |
| | | 2 | | |
STEP 4: BRING DOWN
|
| | | 0 | | |
1 | 8 | 0 | 2 | 8 | 0 |
| | – | 0 | | |
| | | 2 | 8 | |
STEP 5: DIVIDE 28 : 180 = 0 with a remainder of 28
|
| | | 0 | 0 | |
1 | 8 | 0 | 2 | 8 | 0 |
| | – | 0 | | |
| | | 2 | 8 | |
STEP 6: MULTIPLY 0 · 180 = 0
|
| | | 0 | 0 | |
1 | 8 | 0 | 2 | 8 | 0 |
| | – | 0 | | |
| | | 2 | 8 | |
| | | | 0 | |
STEP 7: SUBTRACT 28 - 0 = 28
|
| | | 0 | 0 | |
1 | 8 | 0 | 2 | 8 | 0 |
| | – | 0 | | |
| | | 2 | 8 | |
| | | – | 0 | |
| | | 2 | 8 | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
1 | 8 | 0 | 2 | 8 | 0 |
| | – | 0 | | |
| | | 2 | 8 | |
| | | – | 0 | |
| | | 2 | 8 | 0 |
STEP 9: DIVIDE 280 : 180 = 1 with a remainder of 100
|
| | | 0 | 0 | 1 |
1 | 8 | 0 | 2 | 8 | 0 |
| | – | 0 | | |
| | | 2 | 8 | |
| | | – | 0 | |
| | | 2 | 8 | 0 |
STEP 10: MULTIPLY 1 · 180 = 180
|
| | | 0 | 0 | 1 |
1 | 8 | 0 | 2 | 8 | 0 |
| | – | 0 | | |
| | | 2 | 8 | |
| | | – | 0 | |
| | | 2 | 8 | 0 |
| | | 1 | 8 | 0 |
STEP 11: SUBTRACT 280 - 180 = 100
|
| | | 0 | 0 | 1 |
1 | 8 | 0 | 2 | 8 | 0 |
| | – | 0 | | |
| | | 2 | 8 | |
| | | – | 0 | |
| | | 2 | 8 | 0 |
| | – | 1 | 8 | 0 |
| | | 1 | 0 | 0 |
STEP 11: SUBTRACT 280 - 180 = 100
|
| | | 0 | 0 | 1 |
1 | 8 | 0 | 2 | 8 | 0 |
| | – | 0 | | |
| | | 2 | 8 | |
| | | – | 0 | |
| | | 2 | 8 | 0 |
| | – | 1 | 8 | 0 |
| | | 1 | 0 | 0 |
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