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What is the quotient and remainder when $ 48360 $ is divided by $ 3100 $ ?
Answer
The quotient is 15 and the remainder is 1860.
Explanation
Division Table
|
| | | | 0 | 0 | 0 | 1 | 5 |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 3 | | |
| | | | | – | 0 | | |
| | | | 4 | 8 | 3 | 6 | |
| | | – | 3 | 1 | 0 | 0 | |
| | | | 1 | 7 | 3 | 6 | 0 |
| | | – | 1 | 5 | 5 | 0 | 0 |
| | | | | 1 | 8 | 6 | 0 |
STEP 0: set up a division table
|
| | | | | | | | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
STEP 1: DIVIDE 4 : 3100 = 0 with a remainder of 4
|
| | | | 0 | | | | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
STEP 2: MULTIPLY 0 · 3100 = 0
|
| | | | 0 | | | | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | | 0 | | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | | 0 | | | | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | | | | |
STEP 4: BRING DOWN
|
| | | | 0 | | | | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
STEP 5: DIVIDE 48 : 3100 = 0 with a remainder of 48
|
| | | | 0 | 0 | | | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
STEP 6: MULTIPLY 0 · 3100 = 0
|
| | | | 0 | 0 | | | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | | 0 | | | |
STEP 7: SUBTRACT 48 - 0 = 48
|
| | | | 0 | 0 | | | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | | | |
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 3 | | |
STEP 9: DIVIDE 483 : 3100 = 0 with a remainder of 483
|
| | | | 0 | 0 | 0 | | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 3 | | |
STEP 10: MULTIPLY 0 · 3100 = 0
|
| | | | 0 | 0 | 0 | | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 3 | | |
| | | | | | 0 | | |
STEP 11: SUBTRACT 483 - 0 = 483
|
| | | | 0 | 0 | 0 | | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 3 | | |
| | | | | – | 0 | | |
| | | | 4 | 8 | 3 | | |
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 0 | | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 3 | | |
| | | | | – | 0 | | |
| | | | 4 | 8 | 3 | 6 | |
STEP 13: DIVIDE 4836 : 3100 = 1 with a remainder of 1736
|
| | | | 0 | 0 | 0 | 1 | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 3 | | |
| | | | | – | 0 | | |
| | | | 4 | 8 | 3 | 6 | |
STEP 14: MULTIPLY 1 · 3100 = 3100
|
| | | | 0 | 0 | 0 | 1 | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 3 | | |
| | | | | – | 0 | | |
| | | | 4 | 8 | 3 | 6 | |
| | | | 3 | 1 | 0 | 0 | |
STEP 15: SUBTRACT 4836 - 3100 = 1736
|
| | | | 0 | 0 | 0 | 1 | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 3 | | |
| | | | | – | 0 | | |
| | | | 4 | 8 | 3 | 6 | |
| | | – | 3 | 1 | 0 | 0 | |
| | | | 1 | 7 | 3 | 6 | |
STEP 16: BRING DOWN
|
| | | | 0 | 0 | 0 | 1 | |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 3 | | |
| | | | | – | 0 | | |
| | | | 4 | 8 | 3 | 6 | |
| | | – | 3 | 1 | 0 | 0 | |
| | | | 1 | 7 | 3 | 6 | 0 |
STEP 17: DIVIDE 17360 : 3100 = 5 with a remainder of 1860
|
| | | | 0 | 0 | 0 | 1 | 5 |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 3 | | |
| | | | | – | 0 | | |
| | | | 4 | 8 | 3 | 6 | |
| | | – | 3 | 1 | 0 | 0 | |
| | | | 1 | 7 | 3 | 6 | 0 |
STEP 18: MULTIPLY 5 · 3100 = 15500
|
| | | | 0 | 0 | 0 | 1 | 5 |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 3 | | |
| | | | | – | 0 | | |
| | | | 4 | 8 | 3 | 6 | |
| | | – | 3 | 1 | 0 | 0 | |
| | | | 1 | 7 | 3 | 6 | 0 |
| | | | 1 | 5 | 5 | 0 | 0 |
STEP 19: SUBTRACT 17360 - 15500 = 1860
|
| | | | 0 | 0 | 0 | 1 | 5 |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 3 | | |
| | | | | – | 0 | | |
| | | | 4 | 8 | 3 | 6 | |
| | | – | 3 | 1 | 0 | 0 | |
| | | | 1 | 7 | 3 | 6 | 0 |
| | | – | 1 | 5 | 5 | 0 | 0 |
| | | | | 1 | 8 | 6 | 0 |
STEP 19: SUBTRACT 17360 - 15500 = 1860
|
| | | | 0 | 0 | 0 | 1 | 5 |
3 | 1 | 0 | 0 | 4 | 8 | 3 | 6 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 3 | | |
| | | | | – | 0 | | |
| | | | 4 | 8 | 3 | 6 | |
| | | – | 3 | 1 | 0 | 0 | |
| | | | 1 | 7 | 3 | 6 | 0 |
| | | – | 1 | 5 | 5 | 0 | 0 |
| | | | | 1 | 8 | 6 | 0 |
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