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Question
What is the quotient and remainder when $ 900 $ is divided by $ 109 $ ?
Answer
The quotient is 8 and the remainder is 28.
Explanation
|
Division Table
|
| | | | 0 | 0 | 8 |
| 1 | 0 | 9 | 9 | 0 | 0 |
| | | – | 0 | | |
| | | | 9 | 0 | |
| | | | – | 0 | |
| | | | 9 | 0 | 0 |
| | | – | 8 | 7 | 2 |
| | | | | 2 | 8 |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 0 | 9 | 9 | 0 | 0 |
STEP 1: DIVIDE 9 : 109 = 0 with a remainder of 9
|
| | | | 0 | | |
| 1 | 0 | 9 | 9 | 0 | 0 |
STEP 2: MULTIPLY 0 · 109 = 0
|
| | | | 0 | | |
| 1 | 0 | 9 | 9 | 0 | 0 |
| | | | 0 | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | | 0 | | |
| 1 | 0 | 9 | 9 | 0 | 0 |
| | | – | 0 | | |
| | | | 9 | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | |
| 1 | 0 | 9 | 9 | 0 | 0 |
| | | – | 0 | | |
| | | | 9 | 0 | |
STEP 5: DIVIDE 90 : 109 = 0 with a remainder of 90
|
| | | | 0 | 0 | |
| 1 | 0 | 9 | 9 | 0 | 0 |
| | | – | 0 | | |
| | | | 9 | 0 | |
STEP 6: MULTIPLY 0 · 109 = 0
|
| | | | 0 | 0 | |
| 1 | 0 | 9 | 9 | 0 | 0 |
| | | – | 0 | | |
| | | | 9 | 0 | |
| | | | | 0 | |
STEP 7: SUBTRACT 90 - 0 = 90
|
| | | | 0 | 0 | |
| 1 | 0 | 9 | 9 | 0 | 0 |
| | | – | 0 | | |
| | | | 9 | 0 | |
| | | | – | 0 | |
| | | | 9 | 0 | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
| 1 | 0 | 9 | 9 | 0 | 0 |
| | | – | 0 | | |
| | | | 9 | 0 | |
| | | | – | 0 | |
| | | | 9 | 0 | 0 |
STEP 9: DIVIDE 900 : 109 = 8 with a remainder of 28
|
| | | | 0 | 0 | 8 |
| 1 | 0 | 9 | 9 | 0 | 0 |
| | | – | 0 | | |
| | | | 9 | 0 | |
| | | | – | 0 | |
| | | | 9 | 0 | 0 |
STEP 10: MULTIPLY 8 · 109 = 872
|
| | | | 0 | 0 | 8 |
| 1 | 0 | 9 | 9 | 0 | 0 |
| | | – | 0 | | |
| | | | 9 | 0 | |
| | | | – | 0 | |
| | | | 9 | 0 | 0 |
| | | | 8 | 7 | 2 |
STEP 11: SUBTRACT 900 - 872 = 28
|
| | | | 0 | 0 | 8 |
| 1 | 0 | 9 | 9 | 0 | 0 |
| | | – | 0 | | |
| | | | 9 | 0 | |
| | | | – | 0 | |
| | | | 9 | 0 | 0 |
| | | – | 8 | 7 | 2 |
| | | | | 2 | 8 |
STEP 11: SUBTRACT 900 - 872 = 28
|
| | | | 0 | 0 | 8 |
| 1 | 0 | 9 | 9 | 0 | 0 |
| | | – | 0 | | |
| | | | 9 | 0 | |
| | | | – | 0 | |
| | | | 9 | 0 | 0 |
| | | – | 8 | 7 | 2 |
| | | | | 2 | 8 |
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