We're dividing 556081 by 2 
We're looking to find how many times 2 goes into 556081.

Moving on to step 1:
2 goes into 5 2 times with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 1 after subtracting 4 from 5.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 2

Advancing to step 2:
2 can be fit into 15 7 times, resulting in a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 27.0
Subtracting 14 from 15 leaves us with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 2

Going ahead to step 3:
2 goes into 16 8 times with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 278.0
If we subtract 16 from 16, we get 0.
Fetch the next digit (0) from the dividend, attach it to 0 and continue: 0 / 2

Step 4:
2 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 2780.0
Subtract 0 from 0 to get 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 2

Moving on to step 5:
2 goes into 8 4 times with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 27804.0
Deduct 8 from 8 and we're left with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 2

Let's proceed to step 6:
1 divided by 2 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 278040.0
Deduct 0 from 1 and we're left 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.

Let's proceed to step 7:
2 can be fit into 10 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 278040.5
If we take 10 away from 10, we end up 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.

Let's proceed to step 8:
2 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 278040.5
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.

Moving on to step 9:
2 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 278040.5
Subtracting 0 from 0 leaves us 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 278040.5 with a balance of 0.0.