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Question
What is the quotient and remainder when $ 4692 $ is divided by $ 92 $ ?
Answer
The quotient is 51 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 0 | 5 | 1 |
| 9 | 2 | 4 | 6 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 9 | |
| | – | 4 | 6 | 0 | |
| | | | | 9 | 2 |
| | | | – | 9 | 2 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 9 | 2 | 4 | 6 | 9 | 2 |
STEP 1: DIVIDE 4 : 92 = 0 with a remainder of 4
|
| | | 0 | | | |
| 9 | 2 | 4 | 6 | 9 | 2 |
STEP 2: MULTIPLY 0 · 92 = 0
|
| | | 0 | | | |
| 9 | 2 | 4 | 6 | 9 | 2 |
| | | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | | |
| 9 | 2 | 4 | 6 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 9 | 2 | 4 | 6 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 6 | | |
STEP 5: DIVIDE 46 : 92 = 0 with a remainder of 46
|
| | | 0 | 0 | | |
| 9 | 2 | 4 | 6 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 6 | | |
STEP 6: MULTIPLY 0 · 92 = 0
|
| | | 0 | 0 | | |
| 9 | 2 | 4 | 6 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 46 - 0 = 46
|
| | | 0 | 0 | | |
| 9 | 2 | 4 | 6 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 9 | 2 | 4 | 6 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 9 | |
STEP 9: DIVIDE 469 : 92 = 5 with a remainder of 9
|
| | | 0 | 0 | 5 | |
| 9 | 2 | 4 | 6 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 9 | |
STEP 10: MULTIPLY 5 · 92 = 460
|
| | | 0 | 0 | 5 | |
| 9 | 2 | 4 | 6 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 9 | |
| | | 4 | 6 | 0 | |
STEP 11: SUBTRACT 469 - 460 = 9
|
| | | 0 | 0 | 5 | |
| 9 | 2 | 4 | 6 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 9 | |
| | – | 4 | 6 | 0 | |
| | | | | 9 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 5 | |
| 9 | 2 | 4 | 6 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 9 | |
| | – | 4 | 6 | 0 | |
| | | | | 9 | 2 |
STEP 13: DIVIDE 92 : 92 = 1 with a remainder of 0
|
| | | 0 | 0 | 5 | 1 |
| 9 | 2 | 4 | 6 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 9 | |
| | – | 4 | 6 | 0 | |
| | | | | 9 | 2 |
STEP 14: MULTIPLY 1 · 92 = 92
|
| | | 0 | 0 | 5 | 1 |
| 9 | 2 | 4 | 6 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 9 | |
| | – | 4 | 6 | 0 | |
| | | | | 9 | 2 |
| | | | | 9 | 2 |
STEP 15: SUBTRACT 92 - 92 = 0
|
| | | 0 | 0 | 5 | 1 |
| 9 | 2 | 4 | 6 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 9 | |
| | – | 4 | 6 | 0 | |
| | | | | 9 | 2 |
| | | | – | 9 | 2 |
| | | | | | 0 |
STEP 15: SUBTRACT 92 - 92 = 0
|
| | | 0 | 0 | 5 | 1 |
| 9 | 2 | 4 | 6 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 6 | | |
| | | – | 0 | | |
| | | 4 | 6 | 9 | |
| | – | 4 | 6 | 0 | |
| | | | | 9 | 2 |
| | | | – | 9 | 2 |
| | | | | | 0 |
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