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Question
What is the quotient and remainder when $ 7645 $ is divided by $ 2 $ ?
Answer
The quotient is 3822 and the remainder is 1.
Explanation
|
Division Table
|
| | 3 | 8 | 2 | 2 |
| 2 | 7 | 6 | 4 | 5 |
| – | 6 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 4 | | |
| | – | 4 | | |
| | | 5 | | |
| | – | 4 | | |
| | | 1 | | |
STEP 0: set up a division table
|
| | | | | |
| 2 | 7 | 6 | 4 | 5 |
STEP 1: DIVIDE 7 : 2 = 3 with a remainder of 1
|
| | 3 | | | |
| 2 | 7 | 6 | 4 | 5 |
STEP 2: MULTIPLY 3 · 2 = 6
|
| | 3 | | | |
| 2 | 7 | 6 | 4 | 5 |
| | 6 | | | |
STEP 3: SUBTRACT 7 - 6 = 1
|
| | 3 | | | |
| 2 | 7 | 6 | 4 | 5 |
| – | 6 | | | |
| | 1 | | | |
|
STEP 4: BRING DOWN
|
| | 3 | | | |
| 2 | 7 | 6 | 4 | 5 |
| – | 6 | | | |
| | 1 | 6 | | |
STEP 5: DIVIDE 16 : 2 = 8 with a remainder of 0
|
| | 3 | 8 | | |
| 2 | 7 | 6 | 4 | 5 |
| – | 6 | | | |
| | 1 | 6 | | |
STEP 6: MULTIPLY 8 · 2 = 16
|
| | 3 | 8 | | |
| 2 | 7 | 6 | 4 | 5 |
| – | 6 | | | |
| | 1 | 6 | | |
| | 1 | 6 | | |
STEP 7: SUBTRACT 16 - 16 = 0
|
| | 3 | 8 | | |
| 2 | 7 | 6 | 4 | 5 |
| – | 6 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 0 | | |
|
STEP 8: BRING DOWN
|
| | 3 | 8 | | |
| 2 | 7 | 6 | 4 | 5 |
| – | 6 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 4 | | |
STEP 9: DIVIDE 4 : 2 = 2 with a remainder of 0
|
| | 3 | 8 | 2 | |
| 2 | 7 | 6 | 4 | 5 |
| – | 6 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 4 | | |
STEP 10: MULTIPLY 2 · 2 = 4
|
| | 3 | 8 | 2 | |
| 2 | 7 | 6 | 4 | 5 |
| – | 6 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 4 | | |
| | | 4 | | |
STEP 11: SUBTRACT 4 - 4 = 0
|
| | 3 | 8 | 2 | |
| 2 | 7 | 6 | 4 | 5 |
| – | 6 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 4 | | |
| | – | 4 | | |
| | | 0 | | |
|
STEP 12: BRING DOWN
|
| | 3 | 8 | 2 | |
| 2 | 7 | 6 | 4 | 5 |
| – | 6 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 4 | | |
| | – | 4 | | |
| | | 5 | | |
STEP 13: DIVIDE 5 : 2 = 2 with a remainder of 1
|
| | 3 | 8 | 2 | 2 |
| 2 | 7 | 6 | 4 | 5 |
| – | 6 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 4 | | |
| | – | 4 | | |
| | | 5 | | |
STEP 14: MULTIPLY 2 · 2 = 4
|
| | 3 | 8 | 2 | 2 |
| 2 | 7 | 6 | 4 | 5 |
| – | 6 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 4 | | |
| | – | 4 | | |
| | | 5 | | |
| | | 4 | | |
STEP 15: SUBTRACT 5 - 4 = 1
|
| | 3 | 8 | 2 | 2 |
| 2 | 7 | 6 | 4 | 5 |
| – | 6 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 4 | | |
| | – | 4 | | |
| | | 5 | | |
| | – | 4 | | |
| | | 1 | | |
STEP 15: SUBTRACT 5 - 4 = 1
|
| | 3 | 8 | 2 | 2 |
| 2 | 7 | 6 | 4 | 5 |
| – | 6 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 4 | | |
| | – | 4 | | |
| | | 5 | | |
| | – | 4 | | |
| | | 1 | | |
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