820872 divided by 71 
Our goal is to divide 820872 by 71.

Going ahead to step 1:
When dividing 8 by 71, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 71

Moving on to step 2:
71 goes into 82 1 times with a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 11 after subtracting 71 from 82.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 71

Step 3:
If we divide 110 by 71, we get 1 and a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 71 from 110, we get 39.
Bring next digit (8) of the dividend behind the 39 and repeat the process: 398 / 71

Moving on to step 4:
71 goes into 398 5 times with a remainder of 43.
Use 5 as the next digit of our solution. 
Result so far: 115.0
The remainder is 43 after subtracting 355 from 398.
Include the next digit (7) from the dividend after 43, then repeat: 437 / 71

On to step 5:
The number 71 fits into 437 6 times, leaving a remainder of 11.
Use 6 as the next digit of our solution. 
Result so far: 1156.0
If we subtract 426 from 437, we get 11.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 71

Let's proceed to step 6:
If we divide 112 by 71, we get 1 and a remainder of 41.
The next digit of our result is 1. 
Result so far: 11561.0
Subtract 71 from 112 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 7:
71 goes into 410 5 times with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 11561.5
Subtracting 355 from 410 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 8:
If we divide 550 by 71, we get 7 and a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 11561.57
If we take 497 away from 550, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 9:
The number 71 fits into 530 7 times, leaving a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 11561.577
Deduct 497 from 530 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

In conclusion, the division gives 11561.577 with a balance of 0.0033.