857587 ÷ 81 
Our goal is to divide 857587 by 81.

Step 1:
The number 81 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 81

Moving on to step 2:
81 goes into 85 1 times with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 4 after subtracting 81 from 85.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 81

Let's proceed to step 3:
The number 81 fits into 47 0 times, leaving a remainder of 47.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 47, we end up with 47.
Take the next digit (5) from the dividend and append it to 47, then repeat: 475 / 81

Step 4:
The number 81 fits into 475 5 times, leaving a remainder of 70.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
Subtracting 405 from 475 leaves us with 70.
Take the next digit (8) from the dividend and append it to 70, then repeat: 708 / 81

Moving on to step 5:
708 divided by 81 is 8 with a remainder of 60.
Put 8 as the next digit of the answer. 
Result so far: 1058.0
Deduct 648 from 708 and we're left with 60.
Include the next digit (7) from the dividend after 60, then repeat: 607 / 81

Moving on to step 6:
If we divide 607 by 81, we get 7 and a remainder of 40.
Put 7 as the next digit of the answer. 
Result so far: 10587.0
If we take 567 away from 607, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 7:
81 can be fit into 400 4 times, resulting in a remainder of 76.
Use 4 as the next digit of our solution. 
Result so far: 10587.4
If we take 324 away from 400, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 8:
81 can be fit into 760 9 times, resulting in a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 10587.49
If we subtract 729 from 760, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 9:
81 goes into 310 3 times with a remainder of 67.
Record the quotient 3 as the next digit in the result. 
Result so far: 10587.493
If we take 243 away from 310, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Going ahead to step 10:
When dividing 670 by 81, we get 8 with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 10587.4938
Deduct 648 from 670 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 11:
When dividing 220 by 81, we get 2 with a remainder of 58.
Use 2 as the next digit of our solution. 
Result so far: 10587.49382
Subtract 162 from 220 to 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.

Advancing to step 12:
580 divided by 81 is 7 with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 10587.493827
Deduct 567 from 580 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 13:
81 goes into 130 1 times with a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 10587.4938271
Deduct 81 from 130 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 14:
81 can be fit into 490 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 10587.49382716
Deduct 486 from 490 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 10587.49382716 with a balance of 4e-09.