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What is the quotient and remainder when $ 837 $ is divided by $ 26 $ ?
Answer
The quotient is 32 and the remainder is 5.
Explanation
Division Table
|
| | 0 | 3 | 2 |
2 | 6 | 8 | 3 | 7 |
| – | 0 | | |
| | 8 | 3 | |
| – | 7 | 8 | |
| | | 5 | 7 |
| | – | 5 | 2 |
| | | | 5 |
STEP 0: set up a division table
|
| | | | |
2 | 6 | 8 | 3 | 7 |
STEP 1: DIVIDE 8 : 26 = 0 with a remainder of 8
|
| | 0 | | |
2 | 6 | 8 | 3 | 7 |
STEP 2: MULTIPLY 0 · 26 = 0
|
| | 0 | | |
2 | 6 | 8 | 3 | 7 |
| | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | 0 | | |
2 | 6 | 8 | 3 | 7 |
| – | 0 | | |
| | 8 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
2 | 6 | 8 | 3 | 7 |
| – | 0 | | |
| | 8 | 3 | |
STEP 5: DIVIDE 83 : 26 = 3 with a remainder of 5
|
| | 0 | 3 | |
2 | 6 | 8 | 3 | 7 |
| – | 0 | | |
| | 8 | 3 | |
STEP 6: MULTIPLY 3 · 26 = 78
|
| | 0 | 3 | |
2 | 6 | 8 | 3 | 7 |
| – | 0 | | |
| | 8 | 3 | |
| | 7 | 8 | |
STEP 7: SUBTRACT 83 - 78 = 5
|
| | 0 | 3 | |
2 | 6 | 8 | 3 | 7 |
| – | 0 | | |
| | 8 | 3 | |
| – | 7 | 8 | |
| | | 5 | |
STEP 8: BRING DOWN
|
| | 0 | 3 | |
2 | 6 | 8 | 3 | 7 |
| – | 0 | | |
| | 8 | 3 | |
| – | 7 | 8 | |
| | | 5 | 7 |
STEP 9: DIVIDE 57 : 26 = 2 with a remainder of 5
|
| | 0 | 3 | 2 |
2 | 6 | 8 | 3 | 7 |
| – | 0 | | |
| | 8 | 3 | |
| – | 7 | 8 | |
| | | 5 | 7 |
STEP 10: MULTIPLY 2 · 26 = 52
|
| | 0 | 3 | 2 |
2 | 6 | 8 | 3 | 7 |
| – | 0 | | |
| | 8 | 3 | |
| – | 7 | 8 | |
| | | 5 | 7 |
| | | 5 | 2 |
STEP 11: SUBTRACT 57 - 52 = 5
|
| | 0 | 3 | 2 |
2 | 6 | 8 | 3 | 7 |
| – | 0 | | |
| | 8 | 3 | |
| – | 7 | 8 | |
| | | 5 | 7 |
| | – | 5 | 2 |
| | | | 5 |
STEP 11: SUBTRACT 57 - 52 = 5
|
| | 0 | 3 | 2 |
2 | 6 | 8 | 3 | 7 |
| – | 0 | | |
| | 8 | 3 | |
| – | 7 | 8 | |
| | | 5 | 7 |
| | – | 5 | 2 |
| | | | 5 |
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