We're dividing 559141 by 68 
We want to divide 559141 by 68.

Moving on to step 1:
68 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 68

Let's proceed to step 2:
If we divide 55 by 68, we get 0 and a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Take the next digit (9) from the dividend and append it to 55, then repeat: 559 / 68

On to step 3:
559 divided by 68 is 8 with a remainder of 15.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 544 from 559 and we're left with 15.
Append the next digit (1) from the dividend to 15 and continue with: 151 / 68

Moving on to step 4:
When dividing 151 by 68, we get 2 with a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 82.0
The remainder is 15 after subtracting 136 from 151.
Fetch the next digit (4) from the dividend, attach it to 15 and continue: 154 / 68

Let's proceed to step 5:
68 goes into 154 2 times with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 822.0
Deduct 136 from 154 and we're left with 18.
Fetch the next digit (1) from the dividend, attach it to 18 and continue: 181 / 68

Advancing to step 6:
When dividing 181 by 68, we get 2 with a remainder of 45.
The number 2 becomes the next digit in our result. 
Result so far: 8222.0
Deduct 136 from 181 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 7:
450 divided by 68 is 6 with a remainder of 42.
Use 6 as the next digit of our solution. 
Result so far: 8222.6
The remainder is 42 after subtracting 408 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 8:
68 goes into 420 6 times with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 8222.66
Subtracting 408 from 420 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 8222.66 with a balance of 0.012.