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Question
What is the quotient and remainder when $ 664 $ is divided by $ 1658 $ ?
Answer
The quotient is 0 and the remainder is 664.
Explanation
|
Division Table
|
| | | | | 0 | 0 | 0 |
| 1 | 6 | 5 | 8 | 6 | 6 | 4 |
| | | | – | 0 | | |
| | | | | 6 | 6 | |
| | | | | – | 0 | |
| | | | | 6 | 6 | 4 |
| | | | | | – | 0 |
| | | | | 6 | 6 | 4 |
STEP 0: set up a division table
|
| | | | | | | |
| 1 | 6 | 5 | 8 | 6 | 6 | 4 |
STEP 1: DIVIDE 6 : 1658 = 0 with a remainder of 6
|
| | | | | 0 | | |
| 1 | 6 | 5 | 8 | 6 | 6 | 4 |
STEP 2: MULTIPLY 0 · 1658 = 0
|
| | | | | 0 | | |
| 1 | 6 | 5 | 8 | 6 | 6 | 4 |
| | | | | 0 | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | | | 0 | | |
| 1 | 6 | 5 | 8 | 6 | 6 | 4 |
| | | | – | 0 | | |
| | | | | 6 | | |
|
STEP 4: BRING DOWN
|
| | | | | 0 | | |
| 1 | 6 | 5 | 8 | 6 | 6 | 4 |
| | | | – | 0 | | |
| | | | | 6 | 6 | |
STEP 5: DIVIDE 66 : 1658 = 0 with a remainder of 66
|
| | | | | 0 | 0 | |
| 1 | 6 | 5 | 8 | 6 | 6 | 4 |
| | | | – | 0 | | |
| | | | | 6 | 6 | |
STEP 6: MULTIPLY 0 · 1658 = 0
|
| | | | | 0 | 0 | |
| 1 | 6 | 5 | 8 | 6 | 6 | 4 |
| | | | – | 0 | | |
| | | | | 6 | 6 | |
| | | | | | 0 | |
STEP 7: SUBTRACT 66 - 0 = 66
|
| | | | | 0 | 0 | |
| 1 | 6 | 5 | 8 | 6 | 6 | 4 |
| | | | – | 0 | | |
| | | | | 6 | 6 | |
| | | | | – | 0 | |
| | | | | 6 | 6 | |
|
STEP 8: BRING DOWN
|
| | | | | 0 | 0 | |
| 1 | 6 | 5 | 8 | 6 | 6 | 4 |
| | | | – | 0 | | |
| | | | | 6 | 6 | |
| | | | | – | 0 | |
| | | | | 6 | 6 | 4 |
STEP 9: DIVIDE 664 : 1658 = 0 with a remainder of 664
|
| | | | | 0 | 0 | 0 |
| 1 | 6 | 5 | 8 | 6 | 6 | 4 |
| | | | – | 0 | | |
| | | | | 6 | 6 | |
| | | | | – | 0 | |
| | | | | 6 | 6 | 4 |
STEP 10: MULTIPLY 0 · 1658 = 0
|
| | | | | 0 | 0 | 0 |
| 1 | 6 | 5 | 8 | 6 | 6 | 4 |
| | | | – | 0 | | |
| | | | | 6 | 6 | |
| | | | | – | 0 | |
| | | | | 6 | 6 | 4 |
| | | | | | | 0 |
STEP 11: SUBTRACT 664 - 0 = 664
|
| | | | | 0 | 0 | 0 |
| 1 | 6 | 5 | 8 | 6 | 6 | 4 |
| | | | – | 0 | | |
| | | | | 6 | 6 | |
| | | | | – | 0 | |
| | | | | 6 | 6 | 4 |
| | | | | | – | 0 |
| | | | | 6 | 6 | 4 |
STEP 11: SUBTRACT 664 - 0 = 664
|
| | | | | 0 | 0 | 0 |
| 1 | 6 | 5 | 8 | 6 | 6 | 4 |
| | | | – | 0 | | |
| | | | | 6 | 6 | |
| | | | | – | 0 | |
| | | | | 6 | 6 | 4 |
| | | | | | – | 0 |
| | | | | 6 | 6 | 4 |
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