We divide 581964 by 2
We want to figure out the number of times 581964 can be divided by 2.

On to step 1:
2 can be fit into 5 2 times, resulting in a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 4 from 5 and we're left with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 2

Let's proceed to step 2:
2 goes into 18 9 times with a remainder of 0.
The next digit of our result is 9. 
Result so far: 29.0
If we take 18 away from 18, we end up with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 2

Moving on to step 3:
If we divide 1 by 2, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 290.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 2

Moving on to step 4:
19 divided by 2 is 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 2909.0
If we subtract 18 from 19, we get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 2

On to step 5:
2 goes into 16 8 times with a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 29098.0
If we subtract 16 from 16, we get 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 2

Going ahead to step 6:
2 goes into 4 2 times with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 290982.0
If we subtract 4 from 4, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
When dividing 0 by 2, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 290982.0
If we subtract 0 from 0, we get 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 8:
If we divide 0 by 2, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 290982.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 290982.0 with a remaining 0.0.