We look at the division of 578242 by 82 
We're looking to find how many times 82 goes into 578242.

Let's proceed to step 1:
82 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 82

On to step 2:
When dividing 57 by 82, we get 0 with a remainder of 57.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 57 after subtracting 0 from 57.
Fetch the next digit (8) from the dividend, attach it to 57 and continue: 578 / 82

On to step 3:
The number 82 fits into 578 7 times, leaving a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 574 from 578 and we're left with 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 82

Let's proceed to step 4:
The number 82 fits into 42 0 times, leaving a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
If we subtract 0 from 42, we get 42.
Grab the next digit (4) from the dividend, add it to 42, then carry on: 424 / 82

Step 5:
82 goes into 424 5 times with a remainder of 14.
Put 5 as the next digit of the answer. 
Result so far: 705.0
Subtracting 410 from 424 leaves us with 14.
Grab the next digit (2) from the dividend, add it to 14, then carry on: 142 / 82

On to step 6:
The number 82 fits into 142 1 times, leaving a remainder of 60.
Put 1 as the next digit of the answer. 
Result so far: 7051.0
The remainder is 60 after subtracting 82 from 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 7:
82 goes into 600 7 times with a remainder of 26.
The next digit of our result is 7. 
Result so far: 7051.7
The remainder is 26 after subtracting 574 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 8:
When dividing 260 by 82, we get 3 with a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 7051.73
Subtracting 246 from 260 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 9:
140 divided by 82 is 1 with a remainder of 58.
Write down 1 as next digit of the result. 
Result so far: 7051.731
If we subtract 82 from 140, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 10:
82 goes into 580 7 times with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 7051.7317
If we subtract 574 from 580, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 11:
When dividing 60 by 82, we get 0 with a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 7051.7317
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 12:
If we divide 600 by 82, we get 7 and a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 7051.731707
Subtracting 574 from 600 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 13:
82 goes into 260 3 times with a remainder of 14.
Write down 3 as next digit of the result. 
Result so far: 7051.7317073
If we take 246 away from 260, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 14:
82 goes into 140 1 times with a remainder of 58.
The number 1 becomes the next digit in our result. 
Result so far: 7051.73170731
If we subtract 82 from 140, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

In conclusion, the division gives 7051.73170731 with a balance of 5.8e-08.