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Question
What is the quotient and remainder when $ 5620 $ is divided by $ 3960 $ ?
Answer
The quotient is 1 and the remainder is 1660.
Explanation
|
Division Table
|
| | | | | 0 | 0 | 0 | 1 |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
| | | | – | 0 | | | |
| | | | | 5 | 6 | | |
| | | | | – | 0 | | |
| | | | | 5 | 6 | 2 | |
| | | | | | – | 0 | |
| | | | | 5 | 6 | 2 | 0 |
| | | | – | 3 | 9 | 6 | 0 |
| | | | | 1 | 6 | 6 | 0 |
STEP 0: set up a division table
|
| | | | | | | | |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
STEP 1: DIVIDE 5 : 3960 = 0 with a remainder of 5
|
| | | | | 0 | | | |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
STEP 2: MULTIPLY 0 · 3960 = 0
|
| | | | | 0 | | | |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
| | | | | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | | | 0 | | | |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
| | | | – | 0 | | | |
| | | | | 5 | | | |
|
STEP 4: BRING DOWN
|
| | | | | 0 | | | |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
| | | | – | 0 | | | |
| | | | | 5 | 6 | | |
STEP 5: DIVIDE 56 : 3960 = 0 with a remainder of 56
|
| | | | | 0 | 0 | | |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
| | | | – | 0 | | | |
| | | | | 5 | 6 | | |
STEP 6: MULTIPLY 0 · 3960 = 0
|
| | | | | 0 | 0 | | |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
| | | | – | 0 | | | |
| | | | | 5 | 6 | | |
| | | | | | 0 | | |
STEP 7: SUBTRACT 56 - 0 = 56
|
| | | | | 0 | 0 | | |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
| | | | – | 0 | | | |
| | | | | 5 | 6 | | |
| | | | | – | 0 | | |
| | | | | 5 | 6 | | |
|
STEP 8: BRING DOWN
|
| | | | | 0 | 0 | | |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
| | | | – | 0 | | | |
| | | | | 5 | 6 | | |
| | | | | – | 0 | | |
| | | | | 5 | 6 | 2 | |
STEP 9: DIVIDE 562 : 3960 = 0 with a remainder of 562
|
| | | | | 0 | 0 | 0 | |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
| | | | – | 0 | | | |
| | | | | 5 | 6 | | |
| | | | | – | 0 | | |
| | | | | 5 | 6 | 2 | |
STEP 10: MULTIPLY 0 · 3960 = 0
|
| | | | | 0 | 0 | 0 | |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
| | | | – | 0 | | | |
| | | | | 5 | 6 | | |
| | | | | – | 0 | | |
| | | | | 5 | 6 | 2 | |
| | | | | | | 0 | |
STEP 11: SUBTRACT 562 - 0 = 562
|
| | | | | 0 | 0 | 0 | |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
| | | | – | 0 | | | |
| | | | | 5 | 6 | | |
| | | | | – | 0 | | |
| | | | | 5 | 6 | 2 | |
| | | | | | – | 0 | |
| | | | | 5 | 6 | 2 | |
|
STEP 12: BRING DOWN
|
| | | | | 0 | 0 | 0 | |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
| | | | – | 0 | | | |
| | | | | 5 | 6 | | |
| | | | | – | 0 | | |
| | | | | 5 | 6 | 2 | |
| | | | | | – | 0 | |
| | | | | 5 | 6 | 2 | 0 |
STEP 13: DIVIDE 5620 : 3960 = 1 with a remainder of 1660
|
| | | | | 0 | 0 | 0 | 1 |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
| | | | – | 0 | | | |
| | | | | 5 | 6 | | |
| | | | | – | 0 | | |
| | | | | 5 | 6 | 2 | |
| | | | | | – | 0 | |
| | | | | 5 | 6 | 2 | 0 |
STEP 14: MULTIPLY 1 · 3960 = 3960
|
| | | | | 0 | 0 | 0 | 1 |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
| | | | – | 0 | | | |
| | | | | 5 | 6 | | |
| | | | | – | 0 | | |
| | | | | 5 | 6 | 2 | |
| | | | | | – | 0 | |
| | | | | 5 | 6 | 2 | 0 |
| | | | | 3 | 9 | 6 | 0 |
STEP 15: SUBTRACT 5620 - 3960 = 1660
|
| | | | | 0 | 0 | 0 | 1 |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
| | | | – | 0 | | | |
| | | | | 5 | 6 | | |
| | | | | – | 0 | | |
| | | | | 5 | 6 | 2 | |
| | | | | | – | 0 | |
| | | | | 5 | 6 | 2 | 0 |
| | | | – | 3 | 9 | 6 | 0 |
| | | | | 1 | 6 | 6 | 0 |
STEP 15: SUBTRACT 5620 - 3960 = 1660
|
| | | | | 0 | 0 | 0 | 1 |
| 3 | 9 | 6 | 0 | 5 | 6 | 2 | 0 |
| | | | – | 0 | | | |
| | | | | 5 | 6 | | |
| | | | | – | 0 | | |
| | | | | 5 | 6 | 2 | |
| | | | | | – | 0 | |
| | | | | 5 | 6 | 2 | 0 |
| | | | – | 3 | 9 | 6 | 0 |
| | | | | 1 | 6 | 6 | 0 |
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