We're dividing 581931 by 2 
Our goal is to divide 581931 by 2.

Let's proceed to step 1:
2 goes into 5 2 times with a remainder of 1.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 4 from 5 leaves us with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 2

Moving on to step 2:
18 divided by 2 is 9 with a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
If we subtract 18 from 18, we get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 2

Moving on to step 3:
The number 2 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 290.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 2

On to step 4:
The number 2 fits into 19 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 2909.0
Deduct 18 from 19 and we're left with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 2

Advancing to step 5:
2 can be fit into 13 6 times, resulting in a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 29096.0
The remainder is 1 after subtracting 12 from 13.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 2

On to step 6:
11 divided by 2 is 5 with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 290965.0
If we take 10 away from 11, 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.

On to step 7:
2 goes into 10 5 times with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 290965.5
Deduct 10 from 10 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
0 divided by 2 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 290965.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
The number 2 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 290965.5
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 290965.5 with a balance of 0.0.