We look at the division of 125879 by 82 
Our goal is to divide 125879 by 82.

Moving on to step 1:
82 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 82

On to step 2:
The number 82 fits into 12 0 times, leaving a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 82

Moving on to step 3:
82 goes into 125 1 times with a remainder of 43.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 82 from 125 to get 43.
Bring next digit (8) of the dividend behind the 43 and repeat the process: 438 / 82

On to step 4:
When dividing 438 by 82, we get 5 with a remainder of 28.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtract 410 from 438 to get 28.
Include the next digit (7) from the dividend after 28, then repeat: 287 / 82

Advancing to step 5:
When dividing 287 by 82, we get 3 with a remainder of 41.
The number 3 becomes the next digit in our result. 
Result so far: 153.0
Deduct 246 from 287 and we're left with 41.
Include the next digit (9) from the dividend after 41, then repeat: 419 / 82

Step 6:
The number 82 fits into 419 5 times, leaving a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 1535.0
If we subtract 410 from 419, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
When dividing 90 by 82, we get 1 with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1535.1
Subtracting 82 from 90 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
82 goes into 80 0 times with a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 1535.1
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 9:
The number 82 fits into 800 9 times, leaving a remainder of 62.
Put 9 as the next digit of the answer. 
Result so far: 1535.109
Subtracting 738 from 800 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 10:
82 goes into 620 7 times with a remainder of 46.
Use 7 as the next digit of our solution. 
Result so far: 1535.1097
The remainder is 46 after subtracting 574 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 11:
When dividing 460 by 82, we get 5 with a remainder of 50.
The next digit of our result is 5. 
Result so far: 1535.10975
The remainder is 50 after subtracting 410 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 12:
When dividing 500 by 82, we get 6 with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 1535.109756
Subtract 492 from 500 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 13:
82 can be fit into 80 0 times, resulting in a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 1535.109756
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 14:
82 can be fit into 800 9 times, resulting in a remainder of 62.
The number 9 becomes the next digit in our result. 
Result so far: 1535.10975609
The remainder is 62 after subtracting 738 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Our division results in 1535.10975609 with a remaining 6.2e-08.