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What is the quotient and remainder when $ 2090 $ is divided by $ 209 $ ?
Answer
The quotient is 10 and the remainder is 0.
Explanation
Division Table
|
| | | 0 | 0 | 1 | 0 |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
| | – | 0 | | | |
| | | 2 | 0 | | |
| | | – | 0 | | |
| | | 2 | 0 | 9 | |
| | – | 2 | 0 | 9 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
STEP 0: set up a division table
|
| | | | | | |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
STEP 1: DIVIDE 2 : 209 = 0 with a remainder of 2
|
| | | 0 | | | |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
STEP 2: MULTIPLY 0 · 209 = 0
|
| | | 0 | | | |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | | |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
| | – | 0 | | | |
| | | 2 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
| | – | 0 | | | |
| | | 2 | 0 | | |
STEP 5: DIVIDE 20 : 209 = 0 with a remainder of 20
|
| | | 0 | 0 | | |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
| | – | 0 | | | |
| | | 2 | 0 | | |
STEP 6: MULTIPLY 0 · 209 = 0
|
| | | 0 | 0 | | |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
| | – | 0 | | | |
| | | 2 | 0 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 20 - 0 = 20
|
| | | 0 | 0 | | |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
| | – | 0 | | | |
| | | 2 | 0 | | |
| | | – | 0 | | |
| | | 2 | 0 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
| | – | 0 | | | |
| | | 2 | 0 | | |
| | | – | 0 | | |
| | | 2 | 0 | 9 | |
STEP 9: DIVIDE 209 : 209 = 1 with a remainder of 0
|
| | | 0 | 0 | 1 | |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
| | – | 0 | | | |
| | | 2 | 0 | | |
| | | – | 0 | | |
| | | 2 | 0 | 9 | |
STEP 10: MULTIPLY 1 · 209 = 209
|
| | | 0 | 0 | 1 | |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
| | – | 0 | | | |
| | | 2 | 0 | | |
| | | – | 0 | | |
| | | 2 | 0 | 9 | |
| | | 2 | 0 | 9 | |
STEP 11: SUBTRACT 209 - 209 = 0
|
| | | 0 | 0 | 1 | |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
| | – | 0 | | | |
| | | 2 | 0 | | |
| | | – | 0 | | |
| | | 2 | 0 | 9 | |
| | – | 2 | 0 | 9 | |
| | | | | 0 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 1 | |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
| | – | 0 | | | |
| | | 2 | 0 | | |
| | | – | 0 | | |
| | | 2 | 0 | 9 | |
| | – | 2 | 0 | 9 | |
| | | | | 0 | |
STEP 13: DIVIDE 0 : 209 = 0 with a remainder of 0
|
| | | 0 | 0 | 1 | 0 |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
| | – | 0 | | | |
| | | 2 | 0 | | |
| | | – | 0 | | |
| | | 2 | 0 | 9 | |
| | – | 2 | 0 | 9 | |
| | | | | 0 | |
STEP 14: MULTIPLY 0 · 209 = 0
|
| | | 0 | 0 | 1 | 0 |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
| | – | 0 | | | |
| | | 2 | 0 | | |
| | | – | 0 | | |
| | | 2 | 0 | 9 | |
| | – | 2 | 0 | 9 | |
| | | | | 0 | |
| | | | | 0 | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | | 0 | 0 | 1 | 0 |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
| | – | 0 | | | |
| | | 2 | 0 | | |
| | | – | 0 | | |
| | | 2 | 0 | 9 | |
| | – | 2 | 0 | 9 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | | 0 | 0 | 1 | 0 |
2 | 0 | 9 | 2 | 0 | 9 | 0 |
| | – | 0 | | | |
| | | 2 | 0 | | |
| | | – | 0 | | |
| | | 2 | 0 | 9 | |
| | – | 2 | 0 | 9 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
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