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Question
What is the quotient and remainder when $ 36549 $ is divided by $ 492 $ ?
Answer
The quotient is 74 and the remainder is 141.
Explanation
|
Division Table
|
| | | | 0 | 0 | 0 | 7 | 4 |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
| | | | – | 0 | | | |
| | | | 3 | 6 | 5 | | |
| | | | | – | 0 | | |
| | | | 3 | 6 | 5 | 4 | |
| | | – | 3 | 4 | 4 | 4 | |
| | | | | 2 | 1 | 0 | 9 |
| | | | – | 1 | 9 | 6 | 8 |
| | | | | | 1 | 4 | 1 |
STEP 0: set up a division table
|
| | | | | | | | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
STEP 1: DIVIDE 3 : 492 = 0 with a remainder of 3
|
| | | | 0 | | | | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
STEP 2: MULTIPLY 0 · 492 = 0
|
| | | | 0 | | | | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | | 0 | | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | | 0 | | | | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
STEP 5: DIVIDE 36 : 492 = 0 with a remainder of 36
|
| | | | 0 | 0 | | | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
STEP 6: MULTIPLY 0 · 492 = 0
|
| | | | 0 | 0 | | | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
| | | | | 0 | | | |
STEP 7: SUBTRACT 36 - 0 = 36
|
| | | | 0 | 0 | | | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
| | | | – | 0 | | | |
| | | | 3 | 6 | | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
| | | | – | 0 | | | |
| | | | 3 | 6 | 5 | | |
STEP 9: DIVIDE 365 : 492 = 0 with a remainder of 365
|
| | | | 0 | 0 | 0 | | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
| | | | – | 0 | | | |
| | | | 3 | 6 | 5 | | |
STEP 10: MULTIPLY 0 · 492 = 0
|
| | | | 0 | 0 | 0 | | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
| | | | – | 0 | | | |
| | | | 3 | 6 | 5 | | |
| | | | | | 0 | | |
STEP 11: SUBTRACT 365 - 0 = 365
|
| | | | 0 | 0 | 0 | | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
| | | | – | 0 | | | |
| | | | 3 | 6 | 5 | | |
| | | | | – | 0 | | |
| | | | 3 | 6 | 5 | | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 0 | | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
| | | | – | 0 | | | |
| | | | 3 | 6 | 5 | | |
| | | | | – | 0 | | |
| | | | 3 | 6 | 5 | 4 | |
STEP 13: DIVIDE 3654 : 492 = 7 with a remainder of 210
|
| | | | 0 | 0 | 0 | 7 | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
| | | | – | 0 | | | |
| | | | 3 | 6 | 5 | | |
| | | | | – | 0 | | |
| | | | 3 | 6 | 5 | 4 | |
STEP 14: MULTIPLY 7 · 492 = 3444
|
| | | | 0 | 0 | 0 | 7 | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
| | | | – | 0 | | | |
| | | | 3 | 6 | 5 | | |
| | | | | – | 0 | | |
| | | | 3 | 6 | 5 | 4 | |
| | | | 3 | 4 | 4 | 4 | |
STEP 15: SUBTRACT 3654 - 3444 = 210
|
| | | | 0 | 0 | 0 | 7 | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
| | | | – | 0 | | | |
| | | | 3 | 6 | 5 | | |
| | | | | – | 0 | | |
| | | | 3 | 6 | 5 | 4 | |
| | | – | 3 | 4 | 4 | 4 | |
| | | | | 2 | 1 | 0 | |
|
STEP 16: BRING DOWN
|
| | | | 0 | 0 | 0 | 7 | |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
| | | | – | 0 | | | |
| | | | 3 | 6 | 5 | | |
| | | | | – | 0 | | |
| | | | 3 | 6 | 5 | 4 | |
| | | – | 3 | 4 | 4 | 4 | |
| | | | | 2 | 1 | 0 | 9 |
STEP 17: DIVIDE 2109 : 492 = 4 with a remainder of 141
|
| | | | 0 | 0 | 0 | 7 | 4 |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
| | | | – | 0 | | | |
| | | | 3 | 6 | 5 | | |
| | | | | – | 0 | | |
| | | | 3 | 6 | 5 | 4 | |
| | | – | 3 | 4 | 4 | 4 | |
| | | | | 2 | 1 | 0 | 9 |
STEP 18: MULTIPLY 4 · 492 = 1968
|
| | | | 0 | 0 | 0 | 7 | 4 |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
| | | | – | 0 | | | |
| | | | 3 | 6 | 5 | | |
| | | | | – | 0 | | |
| | | | 3 | 6 | 5 | 4 | |
| | | – | 3 | 4 | 4 | 4 | |
| | | | | 2 | 1 | 0 | 9 |
| | | | | 1 | 9 | 6 | 8 |
STEP 19: SUBTRACT 2109 - 1968 = 141
|
| | | | 0 | 0 | 0 | 7 | 4 |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
| | | | – | 0 | | | |
| | | | 3 | 6 | 5 | | |
| | | | | – | 0 | | |
| | | | 3 | 6 | 5 | 4 | |
| | | – | 3 | 4 | 4 | 4 | |
| | | | | 2 | 1 | 0 | 9 |
| | | | – | 1 | 9 | 6 | 8 |
| | | | | | 1 | 4 | 1 |
STEP 19: SUBTRACT 2109 - 1968 = 141
|
| | | | 0 | 0 | 0 | 7 | 4 |
| 4 | 9 | 2 | 3 | 6 | 5 | 4 | 9 |
| | | – | 0 | | | | |
| | | | 3 | 6 | | | |
| | | | – | 0 | | | |
| | | | 3 | 6 | 5 | | |
| | | | | – | 0 | | |
| | | | 3 | 6 | 5 | 4 | |
| | | – | 3 | 4 | 4 | 4 | |
| | | | | 2 | 1 | 0 | 9 |
| | | | – | 1 | 9 | 6 | 8 |
| | | | | | 1 | 4 | 1 |
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