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Question
What is the quotient and remainder when $ 247 $ is divided by $ 210 $ ?
Answer
The quotient is 1 and the remainder is 37.
Explanation
|
Division Table
|
| | | | 0 | 0 | 1 |
| 2 | 1 | 0 | 2 | 4 | 7 |
| | | – | 0 | | |
| | | | 2 | 4 | |
| | | | – | 0 | |
| | | | 2 | 4 | 7 |
| | | – | 2 | 1 | 0 |
| | | | | 3 | 7 |
STEP 0: set up a division table
|
| | | | | | |
| 2 | 1 | 0 | 2 | 4 | 7 |
STEP 1: DIVIDE 2 : 210 = 0 with a remainder of 2
|
| | | | 0 | | |
| 2 | 1 | 0 | 2 | 4 | 7 |
STEP 2: MULTIPLY 0 · 210 = 0
|
| | | | 0 | | |
| 2 | 1 | 0 | 2 | 4 | 7 |
| | | | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | | 0 | | |
| 2 | 1 | 0 | 2 | 4 | 7 |
| | | – | 0 | | |
| | | | 2 | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | |
| 2 | 1 | 0 | 2 | 4 | 7 |
| | | – | 0 | | |
| | | | 2 | 4 | |
STEP 5: DIVIDE 24 : 210 = 0 with a remainder of 24
|
| | | | 0 | 0 | |
| 2 | 1 | 0 | 2 | 4 | 7 |
| | | – | 0 | | |
| | | | 2 | 4 | |
STEP 6: MULTIPLY 0 · 210 = 0
|
| | | | 0 | 0 | |
| 2 | 1 | 0 | 2 | 4 | 7 |
| | | – | 0 | | |
| | | | 2 | 4 | |
| | | | | 0 | |
STEP 7: SUBTRACT 24 - 0 = 24
|
| | | | 0 | 0 | |
| 2 | 1 | 0 | 2 | 4 | 7 |
| | | – | 0 | | |
| | | | 2 | 4 | |
| | | | – | 0 | |
| | | | 2 | 4 | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
| 2 | 1 | 0 | 2 | 4 | 7 |
| | | – | 0 | | |
| | | | 2 | 4 | |
| | | | – | 0 | |
| | | | 2 | 4 | 7 |
STEP 9: DIVIDE 247 : 210 = 1 with a remainder of 37
|
| | | | 0 | 0 | 1 |
| 2 | 1 | 0 | 2 | 4 | 7 |
| | | – | 0 | | |
| | | | 2 | 4 | |
| | | | – | 0 | |
| | | | 2 | 4 | 7 |
STEP 10: MULTIPLY 1 · 210 = 210
|
| | | | 0 | 0 | 1 |
| 2 | 1 | 0 | 2 | 4 | 7 |
| | | – | 0 | | |
| | | | 2 | 4 | |
| | | | – | 0 | |
| | | | 2 | 4 | 7 |
| | | | 2 | 1 | 0 |
STEP 11: SUBTRACT 247 - 210 = 37
|
| | | | 0 | 0 | 1 |
| 2 | 1 | 0 | 2 | 4 | 7 |
| | | – | 0 | | |
| | | | 2 | 4 | |
| | | | – | 0 | |
| | | | 2 | 4 | 7 |
| | | – | 2 | 1 | 0 |
| | | | | 3 | 7 |
STEP 11: SUBTRACT 247 - 210 = 37
|
| | | | 0 | 0 | 1 |
| 2 | 1 | 0 | 2 | 4 | 7 |
| | | – | 0 | | |
| | | | 2 | 4 | |
| | | | – | 0 | |
| | | | 2 | 4 | 7 |
| | | – | 2 | 1 | 0 |
| | | | | 3 | 7 |
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