8113505 ÷ 558 
Our goal is to divide 8113505 by 558.

Going ahead to step 1:
When dividing 8 by 558, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 558

Moving on to step 2:
The number 558 fits into 81 0 times, leaving a remainder of 81.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 81, we end up with 81.
Take the next digit (1) from the dividend and append it to 81, then repeat: 811 / 558

Let's proceed to step 3:
The number 558 fits into 811 1 times, leaving a remainder of 253.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 253 after subtracting 558 from 811.
Bring next digit (3) of the dividend behind the 253 and repeat the process: 2533 / 558

Let's proceed to step 4:
When dividing 2533 by 558, we get 4 with a remainder of 301.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Deduct 2232 from 2533 and we're left with 301.
Bring next digit (5) of the dividend behind the 301 and repeat the process: 3015 / 558

Step 5:
When dividing 3015 by 558, we get 5 with a remainder of 225.
Record the quotient 5 as the next digit in the result. 
Result so far: 145.0
Deduct 2790 from 3015 and we're left with 225.
Take the next digit (0) from the dividend and append it to 225, then repeat: 2250 / 558

On to step 6:
558 can be fit into 2250 4 times, resulting in a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 1454.0
If we subtract 2232 from 2250, we get 18.
Include the next digit (5) from the dividend after 18, then repeat: 185 / 558

Going ahead to step 7:
185 divided by 558 is 0 with a remainder of 185.
The next digit of our result is 0. 
Result so far: 14540.0
Subtracting 0 from 185 leaves us with 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

Moving on to step 8:
If we divide 1850 by 558, we get 3 and a remainder of 176.
Use 3 as the next digit of our solution. 
Result so far: 14540.3
Deduct 1674 from 1850 and we're left with 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Advancing to step 9:
If we divide 1760 by 558, we get 3 and a remainder of 86.
Write down 3 as next digit of the result. 
Result so far: 14540.33
Subtracting 1674 from 1760 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

The final outcome is 14540.33, with a leftover of 0.086.