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What is the quotient and remainder when $ 2788 $ is divided by $ 34 $ ?
Answer
The quotient is 82 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 0 | 8 | 2 |
3 | 4 | 2 | 7 | 8 | 8 |
| – | 0 | | | |
| | 2 | 7 | | |
| | – | 0 | | |
| | 2 | 7 | 8 | |
| – | 2 | 7 | 2 | |
| | | | 6 | 8 |
| | | – | 6 | 8 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
3 | 4 | 2 | 7 | 8 | 8 |
STEP 1: DIVIDE 2 : 34 = 0 with a remainder of 2
|
| | 0 | | | |
3 | 4 | 2 | 7 | 8 | 8 |
STEP 2: MULTIPLY 0 · 34 = 0
|
| | 0 | | | |
3 | 4 | 2 | 7 | 8 | 8 |
| | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | | |
3 | 4 | 2 | 7 | 8 | 8 |
| – | 0 | | | |
| | 2 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
3 | 4 | 2 | 7 | 8 | 8 |
| – | 0 | | | |
| | 2 | 7 | | |
STEP 5: DIVIDE 27 : 34 = 0 with a remainder of 27
|
| | 0 | 0 | | |
3 | 4 | 2 | 7 | 8 | 8 |
| – | 0 | | | |
| | 2 | 7 | | |
STEP 6: MULTIPLY 0 · 34 = 0
|
| | 0 | 0 | | |
3 | 4 | 2 | 7 | 8 | 8 |
| – | 0 | | | |
| | 2 | 7 | | |
| | | 0 | | |
STEP 7: SUBTRACT 27 - 0 = 27
|
| | 0 | 0 | | |
3 | 4 | 2 | 7 | 8 | 8 |
| – | 0 | | | |
| | 2 | 7 | | |
| | – | 0 | | |
| | 2 | 7 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
3 | 4 | 2 | 7 | 8 | 8 |
| – | 0 | | | |
| | 2 | 7 | | |
| | – | 0 | | |
| | 2 | 7 | 8 | |
STEP 9: DIVIDE 278 : 34 = 8 with a remainder of 6
|
| | 0 | 0 | 8 | |
3 | 4 | 2 | 7 | 8 | 8 |
| – | 0 | | | |
| | 2 | 7 | | |
| | – | 0 | | |
| | 2 | 7 | 8 | |
STEP 10: MULTIPLY 8 · 34 = 272
|
| | 0 | 0 | 8 | |
3 | 4 | 2 | 7 | 8 | 8 |
| – | 0 | | | |
| | 2 | 7 | | |
| | – | 0 | | |
| | 2 | 7 | 8 | |
| | 2 | 7 | 2 | |
STEP 11: SUBTRACT 278 - 272 = 6
|
| | 0 | 0 | 8 | |
3 | 4 | 2 | 7 | 8 | 8 |
| – | 0 | | | |
| | 2 | 7 | | |
| | – | 0 | | |
| | 2 | 7 | 8 | |
| – | 2 | 7 | 2 | |
| | | | 6 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 8 | |
3 | 4 | 2 | 7 | 8 | 8 |
| – | 0 | | | |
| | 2 | 7 | | |
| | – | 0 | | |
| | 2 | 7 | 8 | |
| – | 2 | 7 | 2 | |
| | | | 6 | 8 |
STEP 13: DIVIDE 68 : 34 = 2 with a remainder of 0
|
| | 0 | 0 | 8 | 2 |
3 | 4 | 2 | 7 | 8 | 8 |
| – | 0 | | | |
| | 2 | 7 | | |
| | – | 0 | | |
| | 2 | 7 | 8 | |
| – | 2 | 7 | 2 | |
| | | | 6 | 8 |
STEP 14: MULTIPLY 2 · 34 = 68
|
| | 0 | 0 | 8 | 2 |
3 | 4 | 2 | 7 | 8 | 8 |
| – | 0 | | | |
| | 2 | 7 | | |
| | – | 0 | | |
| | 2 | 7 | 8 | |
| – | 2 | 7 | 2 | |
| | | | 6 | 8 |
| | | | 6 | 8 |
STEP 15: SUBTRACT 68 - 68 = 0
|
| | 0 | 0 | 8 | 2 |
3 | 4 | 2 | 7 | 8 | 8 |
| – | 0 | | | |
| | 2 | 7 | | |
| | – | 0 | | |
| | 2 | 7 | 8 | |
| – | 2 | 7 | 2 | |
| | | | 6 | 8 |
| | | – | 6 | 8 |
| | | | | 0 |
STEP 15: SUBTRACT 68 - 68 = 0
|
| | 0 | 0 | 8 | 2 |
3 | 4 | 2 | 7 | 8 | 8 |
| – | 0 | | | |
| | 2 | 7 | | |
| | – | 0 | | |
| | 2 | 7 | 8 | |
| – | 2 | 7 | 2 | |
| | | | 6 | 8 |
| | | – | 6 | 8 |
| | | | | 0 |
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