We're dividing 10931 by 15 
Let's see how many times 15 fits into 10931.

Advancing to step 1:
15 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 15

Moving on to step 2:
If we divide 10 by 15, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 15

Moving on to step 3:
If we divide 109 by 15, we get 7 and a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 105 from 109 to get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 15

Advancing to step 4:
When dividing 43 by 15, we get 2 with a remainder of 13.
Put 2 as the next digit of the answer. 
Result so far: 72.0
Subtracting 30 from 43 leaves us with 13.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 15

Advancing to step 5:
15 goes into 131 8 times with a remainder of 11.
The next digit of our result is 8. 
Result so far: 728.0
Subtract 120 from 131 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 6:
When dividing 110 by 15, we get 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 728.7
Deduct 105 from 110 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
If we divide 50 by 15, we get 3 and a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 728.73
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
15 can be fit into 50 3 times, resulting in a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 728.733
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 728.733 with a balance of 0.0005.