559581 divided by 6 
Our goal is to divide 559581 by 6.

Step 1:
5 divided by 6 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 6

On to step 2:
6 goes into 55 9 times with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we take 54 away from 55, we end up with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 6

Let's proceed to step 3:
6 goes into 19 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 93.0
Subtract 18 from 19 to get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 6

Advancing to step 4:
15 divided by 6 is 2 with a remainder of 3.
The next digit of our result is 2. 
Result so far: 932.0
Subtracting 12 from 15 leaves us with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 6

Moving on to step 5:
38 divided by 6 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 9326.0
The remainder is 2 after subtracting 36 from 38.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 6

Going ahead to step 6:
6 can be fit into 21 3 times, resulting in a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 93263.0
If we subtract 18 from 21, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
6 goes into 30 5 times with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 93263.5
Subtracting 30 from 30 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.

Going ahead to step 8:
6 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 93263.5
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.

Let's proceed to step 9:
0 divided by 6 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 93263.5
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 93263.5 with a balance of 0.0.