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Question
What is the quotient and remainder when $ 9682 $ is divided by $ 47 $ ?
Answer
The quotient is 206 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 2 | 0 | 6 |
| 4 | 7 | 9 | 6 | 8 | 2 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 9 | 4 | | |
| | | | 2 | 8 | |
| | | | – | 0 | |
| | | | 2 | 8 | 2 |
| | | – | 2 | 8 | 2 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 7 | 9 | 6 | 8 | 2 |
STEP 1: DIVIDE 9 : 47 = 0 with a remainder of 9
|
| | | 0 | | | |
| 4 | 7 | 9 | 6 | 8 | 2 |
STEP 2: MULTIPLY 0 · 47 = 0
|
| | | 0 | | | |
| 4 | 7 | 9 | 6 | 8 | 2 |
| | | 0 | | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | 0 | | | |
| 4 | 7 | 9 | 6 | 8 | 2 |
| | – | 0 | | | |
| | | 9 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 4 | 7 | 9 | 6 | 8 | 2 |
| | – | 0 | | | |
| | | 9 | 6 | | |
STEP 5: DIVIDE 96 : 47 = 2 with a remainder of 2
|
| | | 0 | 2 | | |
| 4 | 7 | 9 | 6 | 8 | 2 |
| | – | 0 | | | |
| | | 9 | 6 | | |
STEP 6: MULTIPLY 2 · 47 = 94
|
| | | 0 | 2 | | |
| 4 | 7 | 9 | 6 | 8 | 2 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | | 9 | 4 | | |
STEP 7: SUBTRACT 96 - 94 = 2
|
| | | 0 | 2 | | |
| 4 | 7 | 9 | 6 | 8 | 2 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 9 | 4 | | |
| | | | 2 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | | |
| 4 | 7 | 9 | 6 | 8 | 2 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 9 | 4 | | |
| | | | 2 | 8 | |
STEP 9: DIVIDE 28 : 47 = 0 with a remainder of 28
|
| | | 0 | 2 | 0 | |
| 4 | 7 | 9 | 6 | 8 | 2 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 9 | 4 | | |
| | | | 2 | 8 | |
STEP 10: MULTIPLY 0 · 47 = 0
|
| | | 0 | 2 | 0 | |
| 4 | 7 | 9 | 6 | 8 | 2 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 9 | 4 | | |
| | | | 2 | 8 | |
| | | | | 0 | |
STEP 11: SUBTRACT 28 - 0 = 28
|
| | | 0 | 2 | 0 | |
| 4 | 7 | 9 | 6 | 8 | 2 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 9 | 4 | | |
| | | | 2 | 8 | |
| | | | – | 0 | |
| | | | 2 | 8 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 2 | 0 | |
| 4 | 7 | 9 | 6 | 8 | 2 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 9 | 4 | | |
| | | | 2 | 8 | |
| | | | – | 0 | |
| | | | 2 | 8 | 2 |
STEP 13: DIVIDE 282 : 47 = 6 with a remainder of 0
|
| | | 0 | 2 | 0 | 6 |
| 4 | 7 | 9 | 6 | 8 | 2 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 9 | 4 | | |
| | | | 2 | 8 | |
| | | | – | 0 | |
| | | | 2 | 8 | 2 |
STEP 14: MULTIPLY 6 · 47 = 282
|
| | | 0 | 2 | 0 | 6 |
| 4 | 7 | 9 | 6 | 8 | 2 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 9 | 4 | | |
| | | | 2 | 8 | |
| | | | – | 0 | |
| | | | 2 | 8 | 2 |
| | | | 2 | 8 | 2 |
STEP 15: SUBTRACT 282 - 282 = 0
|
| | | 0 | 2 | 0 | 6 |
| 4 | 7 | 9 | 6 | 8 | 2 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 9 | 4 | | |
| | | | 2 | 8 | |
| | | | – | 0 | |
| | | | 2 | 8 | 2 |
| | | – | 2 | 8 | 2 |
| | | | | | 0 |
STEP 15: SUBTRACT 282 - 282 = 0
|
| | | 0 | 2 | 0 | 6 |
| 4 | 7 | 9 | 6 | 8 | 2 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 9 | 4 | | |
| | | | 2 | 8 | |
| | | | – | 0 | |
| | | | 2 | 8 | 2 |
| | | – | 2 | 8 | 2 |
| | | | | | 0 |
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