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Question
What is the quotient and remainder when $ 768 $ is divided by $ 31 $ ?
Answer
The quotient is 24 and the remainder is 24.
Explanation
Division Table
|
| | 0 | 2 | 4 |
3 | 1 | 7 | 6 | 8 |
| – | 0 | | |
| | 7 | 6 | |
| – | 6 | 2 | |
| | 1 | 4 | 8 |
| – | 1 | 2 | 4 |
| | | 2 | 4 |
STEP 0: set up a division table
|
| | | | |
3 | 1 | 7 | 6 | 8 |
STEP 1: DIVIDE 7 : 31 = 0 with a remainder of 7
|
| | 0 | | |
3 | 1 | 7 | 6 | 8 |
STEP 2: MULTIPLY 0 · 31 = 0
|
| | 0 | | |
3 | 1 | 7 | 6 | 8 |
| | 0 | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | 0 | | |
3 | 1 | 7 | 6 | 8 |
| – | 0 | | |
| | 7 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
3 | 1 | 7 | 6 | 8 |
| – | 0 | | |
| | 7 | 6 | |
STEP 5: DIVIDE 76 : 31 = 2 with a remainder of 14
|
| | 0 | 2 | |
3 | 1 | 7 | 6 | 8 |
| – | 0 | | |
| | 7 | 6 | |
STEP 6: MULTIPLY 2 · 31 = 62
|
| | 0 | 2 | |
3 | 1 | 7 | 6 | 8 |
| – | 0 | | |
| | 7 | 6 | |
| | 6 | 2 | |
STEP 7: SUBTRACT 76 - 62 = 14
|
| | 0 | 2 | |
3 | 1 | 7 | 6 | 8 |
| – | 0 | | |
| | 7 | 6 | |
| – | 6 | 2 | |
| | 1 | 4 | |
STEP 8: BRING DOWN
|
| | 0 | 2 | |
3 | 1 | 7 | 6 | 8 |
| – | 0 | | |
| | 7 | 6 | |
| – | 6 | 2 | |
| | 1 | 4 | 8 |
STEP 9: DIVIDE 148 : 31 = 4 with a remainder of 24
|
| | 0 | 2 | 4 |
3 | 1 | 7 | 6 | 8 |
| – | 0 | | |
| | 7 | 6 | |
| – | 6 | 2 | |
| | 1 | 4 | 8 |
STEP 10: MULTIPLY 4 · 31 = 124
|
| | 0 | 2 | 4 |
3 | 1 | 7 | 6 | 8 |
| – | 0 | | |
| | 7 | 6 | |
| – | 6 | 2 | |
| | 1 | 4 | 8 |
| | 1 | 2 | 4 |
STEP 11: SUBTRACT 148 - 124 = 24
|
| | 0 | 2 | 4 |
3 | 1 | 7 | 6 | 8 |
| – | 0 | | |
| | 7 | 6 | |
| – | 6 | 2 | |
| | 1 | 4 | 8 |
| – | 1 | 2 | 4 |
| | | 2 | 4 |
STEP 11: SUBTRACT 148 - 124 = 24
|
| | 0 | 2 | 4 |
3 | 1 | 7 | 6 | 8 |
| – | 0 | | |
| | 7 | 6 | |
| – | 6 | 2 | |
| | 1 | 4 | 8 |
| – | 1 | 2 | 4 |
| | | 2 | 4 |
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