We look at the division of 636125 by 82 
Our goal is to divide 636125 by 82.

Step 1:
82 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 82

On to step 2:
When dividing 63 by 82, we get 0 with a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 63 after subtracting 0 from 63.
Fetch the next digit (6) from the dividend, attach it to 63 and continue: 636 / 82

Let's proceed to step 3:
If we divide 636 by 82, we get 7 and a remainder of 62.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 574 away from 636, we end up with 62.
Bring next digit (1) of the dividend behind the 62 and repeat the process: 621 / 82

Moving on to step 4:
82 goes into 621 7 times with a remainder of 47.
Write down 7 as next digit of the result. 
Result so far: 77.0
Subtract 574 from 621 to get 47.
Bring next digit (2) of the dividend behind the 47 and repeat the process: 472 / 82

Going ahead to step 5:
When dividing 472 by 82, we get 5 with a remainder of 62.
Put 5 as the next digit of the answer. 
Result so far: 775.0
If we subtract 410 from 472, we get 62.
Take the next digit (5) from the dividend and append it to 62, then repeat: 625 / 82

Going ahead to step 6:
625 divided by 82 is 7 with a remainder of 51.
Write down 7 as next digit of the result. 
Result so far: 7757.0
The remainder is 51 after subtracting 574 from 625.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 7:
82 goes into 510 6 times with a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 7757.6
Deduct 492 from 510 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 8:
82 goes into 180 2 times with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 7757.62
The remainder is 16 after subtracting 164 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 9:
82 goes into 160 1 times with a remainder of 78.
Record the quotient 1 as the next digit in the result. 
Result so far: 7757.621
If we take 82 away from 160, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 10:
82 can be fit into 780 9 times, resulting in a remainder of 42.
Use 9 as the next digit of our solution. 
Result so far: 7757.6219
Subtracting 738 from 780 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 11:
420 divided by 82 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 7757.62195
Deduct 410 from 420 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
82 goes into 100 1 times with a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 7757.621951
Subtract 82 from 100 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 13:
The number 82 fits into 180 2 times, leaving a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 7757.6219512
If we subtract 164 from 180, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 14:
When dividing 160 by 82, we get 1 with a remainder of 78.
Put 1 as the next digit of the answer. 
Result so far: 7757.62195121
If we take 82 away from 160, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

In conclusion, the division gives 7757.62195121 with a balance of 7.8e-08.