We're dividing 85931 by 11 
We want to figure out the number of times 85931 can be divided by 11.

Moving on to step 1:
The number 11 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 11

On to step 2:
The number 11 fits into 85 7 times, leaving a remainder of 8.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 77 from 85 to get 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 11

Moving on to step 3:
11 can be fit into 89 8 times, resulting in a remainder of 1.
The next digit of our result is 8. 
Result so far: 78.0
Deduct 88 from 89 and we're left with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 11

Let's proceed to step 4:
11 goes into 13 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 781.0
The remainder is 2 after subtracting 11 from 13.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 11

Advancing to step 5:
The number 11 fits into 21 1 times, leaving a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 7811.0
If we subtract 11 from 21, we get 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 6:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 7811.9
If we take 99 away from 100, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
When dividing 10 by 11, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 7811.9
Deduct 0 from 10 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.

Going ahead to step 8:
The number 11 fits into 100 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 7811.909
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 9:
11 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 7811.909
If we take 0 away from 10, we end up 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.

Going ahead to step 10:
When dividing 100 by 11, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 7811.90909
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 11:
The number 11 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 7811.90909
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
11 goes into 100 9 times with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 7811.9090909
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 13:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 7811.9090909
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 7811.9090909 with a balance of 1e-08.