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Question
What is the quotient and remainder when $ 6542 $ is divided by $ 2 $ ?
Answer
The quotient is 3271 and the remainder is 0.
Explanation
|
Division Table
|
| | 3 | 2 | 7 | 1 |
| 2 | 6 | 5 | 4 | 2 |
| – | 6 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 2 | | |
| | – | 2 | | |
| | | 0 | | |
STEP 0: set up a division table
|
| | | | | |
| 2 | 6 | 5 | 4 | 2 |
STEP 1: DIVIDE 6 : 2 = 3 with a remainder of 0
|
| | 3 | | | |
| 2 | 6 | 5 | 4 | 2 |
STEP 2: MULTIPLY 3 · 2 = 6
|
| | 3 | | | |
| 2 | 6 | 5 | 4 | 2 |
| | 6 | | | |
STEP 3: SUBTRACT 6 - 6 = 0
|
| | 3 | | | |
| 2 | 6 | 5 | 4 | 2 |
| – | 6 | | | |
| | 0 | | | |
|
STEP 4: BRING DOWN
|
| | 3 | | | |
| 2 | 6 | 5 | 4 | 2 |
| – | 6 | | | |
| | 5 | | | |
STEP 5: DIVIDE 5 : 2 = 2 with a remainder of 1
|
| | 3 | 2 | | |
| 2 | 6 | 5 | 4 | 2 |
| – | 6 | | | |
| | 5 | | | |
STEP 6: MULTIPLY 2 · 2 = 4
|
| | 3 | 2 | | |
| 2 | 6 | 5 | 4 | 2 |
| – | 6 | | | |
| | 5 | | | |
| | 4 | | | |
STEP 7: SUBTRACT 5 - 4 = 1
|
| | 3 | 2 | | |
| 2 | 6 | 5 | 4 | 2 |
| – | 6 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | | | |
|
STEP 8: BRING DOWN
|
| | 3 | 2 | | |
| 2 | 6 | 5 | 4 | 2 |
| – | 6 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 4 | | |
STEP 9: DIVIDE 14 : 2 = 7 with a remainder of 0
|
| | 3 | 2 | 7 | |
| 2 | 6 | 5 | 4 | 2 |
| – | 6 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 4 | | |
STEP 10: MULTIPLY 7 · 2 = 14
|
| | 3 | 2 | 7 | |
| 2 | 6 | 5 | 4 | 2 |
| – | 6 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 4 | | |
| | 1 | 4 | | |
STEP 11: SUBTRACT 14 - 14 = 0
|
| | 3 | 2 | 7 | |
| 2 | 6 | 5 | 4 | 2 |
| – | 6 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 0 | | |
|
STEP 12: BRING DOWN
|
| | 3 | 2 | 7 | |
| 2 | 6 | 5 | 4 | 2 |
| – | 6 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 2 | | |
STEP 13: DIVIDE 2 : 2 = 1 with a remainder of 0
|
| | 3 | 2 | 7 | 1 |
| 2 | 6 | 5 | 4 | 2 |
| – | 6 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 2 | | |
STEP 14: MULTIPLY 1 · 2 = 2
|
| | 3 | 2 | 7 | 1 |
| 2 | 6 | 5 | 4 | 2 |
| – | 6 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 2 | | |
| | | 2 | | |
STEP 15: SUBTRACT 2 - 2 = 0
|
| | 3 | 2 | 7 | 1 |
| 2 | 6 | 5 | 4 | 2 |
| – | 6 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 2 | | |
| | – | 2 | | |
| | | 0 | | |
STEP 15: SUBTRACT 2 - 2 = 0
|
| | 3 | 2 | 7 | 1 |
| 2 | 6 | 5 | 4 | 2 |
| – | 6 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 2 | | |
| | – | 2 | | |
| | | 0 | | |
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