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Question
What is the quotient and remainder when $ 4157 $ is divided by $ 2 $ ?
Answer
The quotient is 2078 and the remainder is 1.
Explanation
Division Table
|
| 2 | 0 | 7 | 8 |
2 | 4 | 1 | 5 | 7 |
– | 4 | | | |
| 1 | | | |
– | 0 | | | |
| 1 | 5 | | |
– | 1 | 4 | | |
| | 1 | 7 | |
| – | 1 | 6 | |
| | | 1 | |
STEP 0: set up a division table
|
| | | | |
2 | 4 | 1 | 5 | 7 |
STEP 1: DIVIDE 4 : 2 = 2 with a remainder of 0
|
| 2 | | | |
2 | 4 | 1 | 5 | 7 |
STEP 2: MULTIPLY 2 · 2 = 4
|
| 2 | | | |
2 | 4 | 1 | 5 | 7 |
| 4 | | | |
STEP 3: SUBTRACT 4 - 4 = 0
|
| 2 | | | |
2 | 4 | 1 | 5 | 7 |
– | 4 | | | |
| 0 | | | |
STEP 4: BRING DOWN
|
| 2 | | | |
2 | 4 | 1 | 5 | 7 |
– | 4 | | | |
| 1 | | | |
STEP 5: DIVIDE 1 : 2 = 0 with a remainder of 1
|
| 2 | 0 | | |
2 | 4 | 1 | 5 | 7 |
– | 4 | | | |
| 1 | | | |
STEP 6: MULTIPLY 0 · 2 = 0
|
| 2 | 0 | | |
2 | 4 | 1 | 5 | 7 |
– | 4 | | | |
| 1 | | | |
| 0 | | | |
STEP 7: SUBTRACT 1 - 0 = 1
|
| 2 | 0 | | |
2 | 4 | 1 | 5 | 7 |
– | 4 | | | |
| 1 | | | |
– | 0 | | | |
| 1 | | | |
STEP 8: BRING DOWN
|
| 2 | 0 | | |
2 | 4 | 1 | 5 | 7 |
– | 4 | | | |
| 1 | | | |
– | 0 | | | |
| 1 | 5 | | |
STEP 9: DIVIDE 15 : 2 = 7 with a remainder of 1
|
| 2 | 0 | 7 | |
2 | 4 | 1 | 5 | 7 |
– | 4 | | | |
| 1 | | | |
– | 0 | | | |
| 1 | 5 | | |
STEP 10: MULTIPLY 7 · 2 = 14
|
| 2 | 0 | 7 | |
2 | 4 | 1 | 5 | 7 |
– | 4 | | | |
| 1 | | | |
– | 0 | | | |
| 1 | 5 | | |
| 1 | 4 | | |
STEP 11: SUBTRACT 15 - 14 = 1
|
| 2 | 0 | 7 | |
2 | 4 | 1 | 5 | 7 |
– | 4 | | | |
| 1 | | | |
– | 0 | | | |
| 1 | 5 | | |
– | 1 | 4 | | |
| | 1 | | |
STEP 12: BRING DOWN
|
| 2 | 0 | 7 | |
2 | 4 | 1 | 5 | 7 |
– | 4 | | | |
| 1 | | | |
– | 0 | | | |
| 1 | 5 | | |
– | 1 | 4 | | |
| | 1 | 7 | |
STEP 13: DIVIDE 17 : 2 = 8 with a remainder of 1
|
| 2 | 0 | 7 | 8 |
2 | 4 | 1 | 5 | 7 |
– | 4 | | | |
| 1 | | | |
– | 0 | | | |
| 1 | 5 | | |
– | 1 | 4 | | |
| | 1 | 7 | |
STEP 14: MULTIPLY 8 · 2 = 16
|
| 2 | 0 | 7 | 8 |
2 | 4 | 1 | 5 | 7 |
– | 4 | | | |
| 1 | | | |
– | 0 | | | |
| 1 | 5 | | |
– | 1 | 4 | | |
| | 1 | 7 | |
| | 1 | 6 | |
STEP 15: SUBTRACT 17 - 16 = 1
|
| 2 | 0 | 7 | 8 |
2 | 4 | 1 | 5 | 7 |
– | 4 | | | |
| 1 | | | |
– | 0 | | | |
| 1 | 5 | | |
– | 1 | 4 | | |
| | 1 | 7 | |
| – | 1 | 6 | |
| | | 1 | |
STEP 15: SUBTRACT 17 - 16 = 1
|
| 2 | 0 | 7 | 8 |
2 | 4 | 1 | 5 | 7 |
– | 4 | | | |
| 1 | | | |
– | 0 | | | |
| 1 | 5 | | |
– | 1 | 4 | | |
| | 1 | 7 | |
| – | 1 | 6 | |
| | | 1 | |
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