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What is the quotient and remainder when $ 1080 $ is divided by $ 1800 $ ?
Answer
The quotient is 0 and the remainder is 1080.
Explanation
Division Table
|
| | | | 0 | 0 | 0 | 0 |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
| | | – | 0 | | | |
| | | | 1 | 0 | | |
| | | | – | 0 | | |
| | | | 1 | 0 | 8 | |
| | | | | – | 0 | |
| | | | 1 | 0 | 8 | 0 |
| | | | | | – | 0 |
| | | | 1 | 0 | 8 | 0 |
STEP 0: set up a division table
|
| | | | | | | |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
STEP 1: DIVIDE 1 : 1800 = 0 with a remainder of 1
|
| | | | 0 | | | |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
STEP 2: MULTIPLY 0 · 1800 = 0
|
| | | | 0 | | | |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
| | | | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | | 0 | | | |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
| | | – | 0 | | | |
| | | | 1 | | | |
STEP 4: BRING DOWN
|
| | | | 0 | | | |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
| | | – | 0 | | | |
| | | | 1 | 0 | | |
STEP 5: DIVIDE 10 : 1800 = 0 with a remainder of 10
|
| | | | 0 | 0 | | |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
| | | – | 0 | | | |
| | | | 1 | 0 | | |
STEP 6: MULTIPLY 0 · 1800 = 0
|
| | | | 0 | 0 | | |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
| | | – | 0 | | | |
| | | | 1 | 0 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 10 - 0 = 10
|
| | | | 0 | 0 | | |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
| | | – | 0 | | | |
| | | | 1 | 0 | | |
| | | | – | 0 | | |
| | | | 1 | 0 | | |
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
| | | – | 0 | | | |
| | | | 1 | 0 | | |
| | | | – | 0 | | |
| | | | 1 | 0 | 8 | |
STEP 9: DIVIDE 108 : 1800 = 0 with a remainder of 108
|
| | | | 0 | 0 | 0 | |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
| | | – | 0 | | | |
| | | | 1 | 0 | | |
| | | | – | 0 | | |
| | | | 1 | 0 | 8 | |
STEP 10: MULTIPLY 0 · 1800 = 0
|
| | | | 0 | 0 | 0 | |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
| | | – | 0 | | | |
| | | | 1 | 0 | | |
| | | | – | 0 | | |
| | | | 1 | 0 | 8 | |
| | | | | | 0 | |
STEP 11: SUBTRACT 108 - 0 = 108
|
| | | | 0 | 0 | 0 | |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
| | | – | 0 | | | |
| | | | 1 | 0 | | |
| | | | – | 0 | | |
| | | | 1 | 0 | 8 | |
| | | | | – | 0 | |
| | | | 1 | 0 | 8 | |
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 0 | |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
| | | – | 0 | | | |
| | | | 1 | 0 | | |
| | | | – | 0 | | |
| | | | 1 | 0 | 8 | |
| | | | | – | 0 | |
| | | | 1 | 0 | 8 | 0 |
STEP 13: DIVIDE 1080 : 1800 = 0 with a remainder of 1080
|
| | | | 0 | 0 | 0 | 0 |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
| | | – | 0 | | | |
| | | | 1 | 0 | | |
| | | | – | 0 | | |
| | | | 1 | 0 | 8 | |
| | | | | – | 0 | |
| | | | 1 | 0 | 8 | 0 |
STEP 14: MULTIPLY 0 · 1800 = 0
|
| | | | 0 | 0 | 0 | 0 |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
| | | – | 0 | | | |
| | | | 1 | 0 | | |
| | | | – | 0 | | |
| | | | 1 | 0 | 8 | |
| | | | | – | 0 | |
| | | | 1 | 0 | 8 | 0 |
| | | | | | | 0 |
STEP 15: SUBTRACT 1080 - 0 = 1080
|
| | | | 0 | 0 | 0 | 0 |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
| | | – | 0 | | | |
| | | | 1 | 0 | | |
| | | | – | 0 | | |
| | | | 1 | 0 | 8 | |
| | | | | – | 0 | |
| | | | 1 | 0 | 8 | 0 |
| | | | | | – | 0 |
| | | | 1 | 0 | 8 | 0 |
STEP 15: SUBTRACT 1080 - 0 = 1080
|
| | | | 0 | 0 | 0 | 0 |
1 | 8 | 0 | 0 | 1 | 0 | 8 | 0 |
| | | – | 0 | | | |
| | | | 1 | 0 | | |
| | | | – | 0 | | |
| | | | 1 | 0 | 8 | |
| | | | | – | 0 | |
| | | | 1 | 0 | 8 | 0 |
| | | | | | – | 0 |
| | | | 1 | 0 | 8 | 0 |
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