We're dividing 255581 by 3 
We want to figure out the number of times 255581 can be divided by 3.

Advancing to step 1:
3 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 3

Moving on to step 2:
3 goes into 25 8 times with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 24 from 25 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 3

Let's proceed to step 3:
15 divided by 3 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
If we take 15 away from 15, we end up with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Advancing to step 4:
3 can be fit into 5 1 times, resulting in a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 851.0
Deduct 3 from 5 and we're left with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 3

Moving on to step 5:
3 can be fit into 28 9 times, resulting in a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 8519.0
Subtracting 27 from 28 leaves us with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 3

On to step 6:
3 goes into 11 3 times with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 85193.0
If we subtract 9 from 11, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
When dividing 20 by 3, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 85193.6
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
20 divided by 3 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 85193.66
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 85193.66 with a balance of 0.002.