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What is the quotient and remainder when $ 279250 $ is divided by $ 78 $ ?
Answer
The quotient is 3580 and the remainder is 10.
Explanation
Division Table
|
| | 0 | 0 | 3 | 5 | 8 | 0 |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
| – | 2 | 3 | 4 | | | |
| | | 4 | 5 | 2 | | |
| | – | 3 | 9 | 0 | | |
| | | | 6 | 2 | 5 | |
| | | – | 6 | 2 | 4 | |
| | | | | | 1 | 0 |
| | | | | | – | 0 |
| | | | | | 1 | 0 |
STEP 0: set up a division table
|
| | | | | | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
STEP 1: DIVIDE 2 : 78 = 0 with a remainder of 2
|
| | 0 | | | | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
STEP 2: MULTIPLY 0 · 78 = 0
|
| | 0 | | | | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| | 0 | | | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | | | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | | | | | |
STEP 4: BRING DOWN
|
| | 0 | | | | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
STEP 5: DIVIDE 27 : 78 = 0 with a remainder of 27
|
| | 0 | 0 | | | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
STEP 6: MULTIPLY 0 · 78 = 0
|
| | 0 | 0 | | | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | | 0 | | | | |
STEP 7: SUBTRACT 27 - 0 = 27
|
| | 0 | 0 | | | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | | | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
STEP 9: DIVIDE 279 : 78 = 3 with a remainder of 45
|
| | 0 | 0 | 3 | | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
STEP 10: MULTIPLY 3 · 78 = 234
|
| | 0 | 0 | 3 | | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
| | 2 | 3 | 4 | | | |
STEP 11: SUBTRACT 279 - 234 = 45
|
| | 0 | 0 | 3 | | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
| – | 2 | 3 | 4 | | | |
| | | 4 | 5 | | | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 3 | | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
| – | 2 | 3 | 4 | | | |
| | | 4 | 5 | 2 | | |
STEP 13: DIVIDE 452 : 78 = 5 with a remainder of 62
|
| | 0 | 0 | 3 | 5 | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
| – | 2 | 3 | 4 | | | |
| | | 4 | 5 | 2 | | |
STEP 14: MULTIPLY 5 · 78 = 390
|
| | 0 | 0 | 3 | 5 | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
| – | 2 | 3 | 4 | | | |
| | | 4 | 5 | 2 | | |
| | | 3 | 9 | 0 | | |
STEP 15: SUBTRACT 452 - 390 = 62
|
| | 0 | 0 | 3 | 5 | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
| – | 2 | 3 | 4 | | | |
| | | 4 | 5 | 2 | | |
| | – | 3 | 9 | 0 | | |
| | | | 6 | 2 | | |
STEP 16: BRING DOWN
|
| | 0 | 0 | 3 | 5 | | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
| – | 2 | 3 | 4 | | | |
| | | 4 | 5 | 2 | | |
| | – | 3 | 9 | 0 | | |
| | | | 6 | 2 | 5 | |
STEP 17: DIVIDE 625 : 78 = 8 with a remainder of 1
|
| | 0 | 0 | 3 | 5 | 8 | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
| – | 2 | 3 | 4 | | | |
| | | 4 | 5 | 2 | | |
| | – | 3 | 9 | 0 | | |
| | | | 6 | 2 | 5 | |
STEP 18: MULTIPLY 8 · 78 = 624
|
| | 0 | 0 | 3 | 5 | 8 | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
| – | 2 | 3 | 4 | | | |
| | | 4 | 5 | 2 | | |
| | – | 3 | 9 | 0 | | |
| | | | 6 | 2 | 5 | |
| | | | 6 | 2 | 4 | |
STEP 19: SUBTRACT 625 - 624 = 1
|
| | 0 | 0 | 3 | 5 | 8 | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
| – | 2 | 3 | 4 | | | |
| | | 4 | 5 | 2 | | |
| | – | 3 | 9 | 0 | | |
| | | | 6 | 2 | 5 | |
| | | – | 6 | 2 | 4 | |
| | | | | | 1 | |
STEP 20: BRING DOWN
|
| | 0 | 0 | 3 | 5 | 8 | |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
| – | 2 | 3 | 4 | | | |
| | | 4 | 5 | 2 | | |
| | – | 3 | 9 | 0 | | |
| | | | 6 | 2 | 5 | |
| | | – | 6 | 2 | 4 | |
| | | | | | 1 | 0 |
STEP 21: DIVIDE 10 : 78 = 0 with a remainder of 10
|
| | 0 | 0 | 3 | 5 | 8 | 0 |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
| – | 2 | 3 | 4 | | | |
| | | 4 | 5 | 2 | | |
| | – | 3 | 9 | 0 | | |
| | | | 6 | 2 | 5 | |
| | | – | 6 | 2 | 4 | |
| | | | | | 1 | 0 |
STEP 22: MULTIPLY 0 · 78 = 0
|
| | 0 | 0 | 3 | 5 | 8 | 0 |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
| – | 2 | 3 | 4 | | | |
| | | 4 | 5 | 2 | | |
| | – | 3 | 9 | 0 | | |
| | | | 6 | 2 | 5 | |
| | | – | 6 | 2 | 4 | |
| | | | | | 1 | 0 |
| | | | | | | 0 |
STEP 23: SUBTRACT 10 - 0 = 10
|
| | 0 | 0 | 3 | 5 | 8 | 0 |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
| – | 2 | 3 | 4 | | | |
| | | 4 | 5 | 2 | | |
| | – | 3 | 9 | 0 | | |
| | | | 6 | 2 | 5 | |
| | | – | 6 | 2 | 4 | |
| | | | | | 1 | 0 |
| | | | | | – | 0 |
| | | | | | 1 | 0 |
STEP 23: SUBTRACT 10 - 0 = 10
|
| | 0 | 0 | 3 | 5 | 8 | 0 |
7 | 8 | 2 | 7 | 9 | 2 | 5 | 0 |
| – | 0 | | | | | |
| | 2 | 7 | | | | |
| | – | 0 | | | | |
| | 2 | 7 | 9 | | | |
| – | 2 | 3 | 4 | | | |
| | | 4 | 5 | 2 | | |
| | – | 3 | 9 | 0 | | |
| | | | 6 | 2 | 5 | |
| | | – | 6 | 2 | 4 | |
| | | | | | 1 | 0 |
| | | | | | – | 0 |
| | | | | | 1 | 0 |
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