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Question
What is the quotient and remainder when $ 857 $ is divided by $ 23 $ ?
Answer
The quotient is 37 and the remainder is 6.
Explanation
|
Division Table
|
| | | 0 | 3 | 7 |
| 2 | 3 | 8 | 5 | 7 |
| | – | 0 | | |
| | | 8 | 5 | |
| | – | 6 | 9 | |
| | | 1 | 6 | 7 |
| | – | 1 | 6 | 1 |
| | | | | 6 |
STEP 0: set up a division table
|
| | | | | |
| 2 | 3 | 8 | 5 | 7 |
STEP 1: DIVIDE 8 : 23 = 0 with a remainder of 8
|
| | | 0 | | |
| 2 | 3 | 8 | 5 | 7 |
STEP 2: MULTIPLY 0 · 23 = 0
|
| | | 0 | | |
| 2 | 3 | 8 | 5 | 7 |
| | | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | |
| 2 | 3 | 8 | 5 | 7 |
| | – | 0 | | |
| | | 8 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 2 | 3 | 8 | 5 | 7 |
| | – | 0 | | |
| | | 8 | 5 | |
STEP 5: DIVIDE 85 : 23 = 3 with a remainder of 16
|
| | | 0 | 3 | |
| 2 | 3 | 8 | 5 | 7 |
| | – | 0 | | |
| | | 8 | 5 | |
STEP 6: MULTIPLY 3 · 23 = 69
|
| | | 0 | 3 | |
| 2 | 3 | 8 | 5 | 7 |
| | – | 0 | | |
| | | 8 | 5 | |
| | | 6 | 9 | |
STEP 7: SUBTRACT 85 - 69 = 16
|
| | | 0 | 3 | |
| 2 | 3 | 8 | 5 | 7 |
| | – | 0 | | |
| | | 8 | 5 | |
| | – | 6 | 9 | |
| | | 1 | 6 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 3 | |
| 2 | 3 | 8 | 5 | 7 |
| | – | 0 | | |
| | | 8 | 5 | |
| | – | 6 | 9 | |
| | | 1 | 6 | 7 |
STEP 9: DIVIDE 167 : 23 = 7 with a remainder of 6
|
| | | 0 | 3 | 7 |
| 2 | 3 | 8 | 5 | 7 |
| | – | 0 | | |
| | | 8 | 5 | |
| | – | 6 | 9 | |
| | | 1 | 6 | 7 |
STEP 10: MULTIPLY 7 · 23 = 161
|
| | | 0 | 3 | 7 |
| 2 | 3 | 8 | 5 | 7 |
| | – | 0 | | |
| | | 8 | 5 | |
| | – | 6 | 9 | |
| | | 1 | 6 | 7 |
| | | 1 | 6 | 1 |
STEP 11: SUBTRACT 167 - 161 = 6
|
| | | 0 | 3 | 7 |
| 2 | 3 | 8 | 5 | 7 |
| | – | 0 | | |
| | | 8 | 5 | |
| | – | 6 | 9 | |
| | | 1 | 6 | 7 |
| | – | 1 | 6 | 1 |
| | | | | 6 |
STEP 11: SUBTRACT 167 - 161 = 6
|
| | | 0 | 3 | 7 |
| 2 | 3 | 8 | 5 | 7 |
| | – | 0 | | |
| | | 8 | 5 | |
| | – | 6 | 9 | |
| | | 1 | 6 | 7 |
| | – | 1 | 6 | 1 |
| | | | | 6 |
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