We look at the division of 521374 by 82 
Our goal is to divide 521374 by 82.

Let's proceed to step 1:
82 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 82

Let's proceed to step 2:
When dividing 52 by 82, we get 0 with a remainder of 52.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 52 and we're left with 52.
Grab the next digit (1) from the dividend, add it to 52, then carry on: 521 / 82

Step 3:
If we divide 521 by 82, we get 6 and a remainder of 29.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 492 from 521 to get 29.
Include the next digit (3) from the dividend after 29, then repeat: 293 / 82

Moving on to step 4:
82 can be fit into 293 3 times, resulting in a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 63.0
If we subtract 246 from 293, we get 47.
Take the next digit (7) from the dividend and append it to 47, then repeat: 477 / 82

On to step 5:
The number 82 fits into 477 5 times, leaving a remainder of 67.
Use 5 as the next digit of our solution. 
Result so far: 635.0
Deduct 410 from 477 and we're left with 67.
Append the next digit (4) from the dividend to 67 and continue with: 674 / 82

Going ahead to step 6:
If we divide 674 by 82, we get 8 and a remainder of 18.
The next digit of our result is 8. 
Result so far: 6358.0
The remainder is 18 after subtracting 656 from 674.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
180 divided by 82 is 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 6358.2
If we take 164 away from 180, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 8:
82 goes into 160 1 times with a remainder of 78.
The number 1 becomes the next digit in our result. 
Result so far: 6358.21
Deduct 82 from 160 and we're left 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.

On to step 9:
When dividing 780 by 82, we get 9 with a remainder of 42.
The next digit of our result is 9. 
Result so far: 6358.219
The remainder is 42 after subtracting 738 from 780.
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 10:
82 goes into 420 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 6358.2195
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.

Moving on to step 11:
100 divided by 82 is 1 with a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 6358.21951
Deduct 82 from 100 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.

Let's proceed to step 12:
When dividing 180 by 82, we get 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 6358.219512
If we take 164 away from 180, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 13:
The number 82 fits into 160 1 times, leaving a remainder of 78.
The next digit of our result is 1. 
Result so far: 6358.2195121
The remainder is 78 after subtracting 82 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 14:
If we divide 780 by 82, we get 9 and a remainder of 42.
The number 9 becomes the next digit in our result. 
Result so far: 6358.21951219
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.

In conclusion, the division gives 6358.21951219 with a balance of 4.2e-08.