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Question
What is the quotient and remainder when $ 9431 $ is divided by $ 2 $ ?
Answer
The quotient is 4715 and the remainder is 1.
Explanation
|
Division Table
|
| | 4 | 7 | 1 | 5 |
| 2 | 9 | 4 | 3 | 1 |
| – | 8 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 3 | | |
| | – | 2 | | |
| | | 1 | 1 | |
| | – | 1 | 0 | |
| | | | 1 | |
STEP 0: set up a division table
|
| | | | | |
| 2 | 9 | 4 | 3 | 1 |
STEP 1: DIVIDE 9 : 2 = 4 with a remainder of 1
|
| | 4 | | | |
| 2 | 9 | 4 | 3 | 1 |
STEP 2: MULTIPLY 4 · 2 = 8
|
| | 4 | | | |
| 2 | 9 | 4 | 3 | 1 |
| | 8 | | | |
STEP 3: SUBTRACT 9 - 8 = 1
|
| | 4 | | | |
| 2 | 9 | 4 | 3 | 1 |
| – | 8 | | | |
| | 1 | | | |
|
STEP 4: BRING DOWN
|
| | 4 | | | |
| 2 | 9 | 4 | 3 | 1 |
| – | 8 | | | |
| | 1 | 4 | | |
STEP 5: DIVIDE 14 : 2 = 7 with a remainder of 0
|
| | 4 | 7 | | |
| 2 | 9 | 4 | 3 | 1 |
| – | 8 | | | |
| | 1 | 4 | | |
STEP 6: MULTIPLY 7 · 2 = 14
|
| | 4 | 7 | | |
| 2 | 9 | 4 | 3 | 1 |
| – | 8 | | | |
| | 1 | 4 | | |
| | 1 | 4 | | |
STEP 7: SUBTRACT 14 - 14 = 0
|
| | 4 | 7 | | |
| 2 | 9 | 4 | 3 | 1 |
| – | 8 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 0 | | |
|
STEP 8: BRING DOWN
|
| | 4 | 7 | | |
| 2 | 9 | 4 | 3 | 1 |
| – | 8 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 3 | | |
STEP 9: DIVIDE 3 : 2 = 1 with a remainder of 1
|
| | 4 | 7 | 1 | |
| 2 | 9 | 4 | 3 | 1 |
| – | 8 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 3 | | |
STEP 10: MULTIPLY 1 · 2 = 2
|
| | 4 | 7 | 1 | |
| 2 | 9 | 4 | 3 | 1 |
| – | 8 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 3 | | |
| | | 2 | | |
STEP 11: SUBTRACT 3 - 2 = 1
|
| | 4 | 7 | 1 | |
| 2 | 9 | 4 | 3 | 1 |
| – | 8 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 3 | | |
| | – | 2 | | |
| | | 1 | | |
|
STEP 12: BRING DOWN
|
| | 4 | 7 | 1 | |
| 2 | 9 | 4 | 3 | 1 |
| – | 8 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 3 | | |
| | – | 2 | | |
| | | 1 | 1 | |
STEP 13: DIVIDE 11 : 2 = 5 with a remainder of 1
|
| | 4 | 7 | 1 | 5 |
| 2 | 9 | 4 | 3 | 1 |
| – | 8 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 3 | | |
| | – | 2 | | |
| | | 1 | 1 | |
STEP 14: MULTIPLY 5 · 2 = 10
|
| | 4 | 7 | 1 | 5 |
| 2 | 9 | 4 | 3 | 1 |
| – | 8 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 3 | | |
| | – | 2 | | |
| | | 1 | 1 | |
| | | 1 | 0 | |
STEP 15: SUBTRACT 11 - 10 = 1
|
| | 4 | 7 | 1 | 5 |
| 2 | 9 | 4 | 3 | 1 |
| – | 8 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 3 | | |
| | – | 2 | | |
| | | 1 | 1 | |
| | – | 1 | 0 | |
| | | | 1 | |
STEP 15: SUBTRACT 11 - 10 = 1
|
| | 4 | 7 | 1 | 5 |
| 2 | 9 | 4 | 3 | 1 |
| – | 8 | | | |
| | 1 | 4 | | |
| – | 1 | 4 | | |
| | | 3 | | |
| | – | 2 | | |
| | | 1 | 1 | |
| | – | 1 | 0 | |
| | | | 1 | |
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