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Question
What is the quotient and remainder when $ 6420000 $ is divided by $ 642 $ ?
Answer
The quotient is 10000 and the remainder is 0.
Explanation
|
Division Table
|
| | | | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
STEP 0: set up a division table
|
| | | | | | | | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
STEP 1: DIVIDE 6 : 642 = 0 with a remainder of 6
|
| | | | 0 | | | | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
STEP 2: MULTIPLY 0 · 642 = 0
|
| | | | 0 | | | | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | | 0 | | | | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | | 0 | | | | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | | | | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
STEP 5: DIVIDE 64 : 642 = 0 with a remainder of 64
|
| | | | 0 | 0 | | | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
STEP 6: MULTIPLY 0 · 642 = 0
|
| | | | 0 | 0 | | | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | | 0 | | | | | |
STEP 7: SUBTRACT 64 - 0 = 64
|
| | | | 0 | 0 | | | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | | | | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
STEP 9: DIVIDE 642 : 642 = 1 with a remainder of 0
|
| | | | 0 | 0 | 1 | | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
STEP 10: MULTIPLY 1 · 642 = 642
|
| | | | 0 | 0 | 1 | | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | | 6 | 4 | 2 | | | | |
STEP 11: SUBTRACT 642 - 642 = 0
|
| | | | 0 | 0 | 1 | | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 1 | | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
STEP 13: DIVIDE 0 : 642 = 0 with a remainder of 0
|
| | | | 0 | 0 | 1 | 0 | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
STEP 14: MULTIPLY 0 · 642 = 0
|
| | | | 0 | 0 | 1 | 0 | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
| | | | | | 0 | | | | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | | | 0 | 0 | 1 | 0 | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
|
STEP 16: BRING DOWN
|
| | | | 0 | 0 | 1 | 0 | | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
STEP 17: DIVIDE 0 : 642 = 0 with a remainder of 0
|
| | | | 0 | 0 | 1 | 0 | 0 | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
STEP 18: MULTIPLY 0 · 642 = 0
|
| | | | 0 | 0 | 1 | 0 | 0 | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | | 0 | | | | |
STEP 19: SUBTRACT 0 - 0 = 0
|
| | | | 0 | 0 | 1 | 0 | 0 | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
|
STEP 20: BRING DOWN
|
| | | | 0 | 0 | 1 | 0 | 0 | | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
STEP 21: DIVIDE 0 : 642 = 0 with a remainder of 0
|
| | | | 0 | 0 | 1 | 0 | 0 | 0 | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
STEP 22: MULTIPLY 0 · 642 = 0
|
| | | | 0 | 0 | 1 | 0 | 0 | 0 | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | | 0 | | | | |
STEP 23: SUBTRACT 0 - 0 = 0
|
| | | | 0 | 0 | 1 | 0 | 0 | 0 | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
|
STEP 24: BRING DOWN
|
| | | | 0 | 0 | 1 | 0 | 0 | 0 | |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
STEP 25: DIVIDE 0 : 642 = 0 with a remainder of 0
|
| | | | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
STEP 26: MULTIPLY 0 · 642 = 0
|
| | | | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | | 0 | | | | |
STEP 27: SUBTRACT 0 - 0 = 0
|
| | | | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
STEP 27: SUBTRACT 0 - 0 = 0
|
| | | | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
| 6 | 4 | 2 | 6 | 4 | 2 | 0 | 0 | 0 | 0 |
| | | – | 0 | | | | | | |
| | | | 6 | 4 | | | | | |
| | | | – | 0 | | | | | |
| | | | 6 | 4 | 2 | | | | |
| | | – | 6 | 4 | 2 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
| | | | | – | 0 | | | | |
| | | | | | 0 | | | | |
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