We look at the division of 11005588 by 558 
Our goal is to divide 11005588 by 558.

Going ahead to step 1:
The number 558 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 558

Advancing to step 2:
558 can be fit into 11 0 times, resulting in a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Append the next digit (0) from the dividend to 11 and continue with: 110 / 558

Let's proceed to step 3:
When dividing 110 by 558, we get 0 with a remainder of 110.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 110 after subtracting 0 from 110.
Append the next digit (0) from the dividend to 110 and continue with: 1100 / 558

Moving on to step 4:
The number 558 fits into 1100 1 times, leaving a remainder of 542.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 558 away from 1100, we end up with 542.
Include the next digit (5) from the dividend after 542, then repeat: 5425 / 558

Moving on to step 5:
The number 558 fits into 5425 9 times, leaving a remainder of 403.
Write down 9 as next digit of the result. 
Result so far: 19.0
Subtracting 5022 from 5425 leaves us with 403.
Append the next digit (5) from the dividend to 403 and continue with: 4035 / 558

On to step 6:
If we divide 4035 by 558, we get 7 and a remainder of 129.
Use 7 as the next digit of our solution. 
Result so far: 197.0
Deduct 3906 from 4035 and we're left with 129.
Bring next digit (8) of the dividend behind the 129 and repeat the process: 1298 / 558

Moving on to step 7:
When dividing 1298 by 558, we get 2 with a remainder of 182.
Put 2 as the next digit of the answer. 
Result so far: 1972.0
If we subtract 1116 from 1298, we get 182.
Take the next digit (8) from the dividend and append it to 182, then repeat: 1828 / 558

Going ahead to step 8:
When dividing 1828 by 558, we get 3 with a remainder of 154.
Put 3 as the next digit of the answer. 
Result so far: 19723.0
If we take 1674 away from 1828, we end up with 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1540, and continue the process.

Moving on to step 9:
The number 558 fits into 1540 2 times, leaving a remainder of 424.
Use 2 as the next digit of our solution. 
Result so far: 19723.2
If we subtract 1116 from 1540, we get 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

On to step 10:
558 can be fit into 4240 7 times, resulting in a remainder of 334.
Record the quotient 7 as the next digit in the result. 
Result so far: 19723.27
Deduct 3906 from 4240 and we're left with 334.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3340, and continue the process.

Advancing to step 11:
If we divide 3340 by 558, we get 5 and a remainder of 550.
The next digit of our result is 5. 
Result so far: 19723.275
The remainder is 550 after subtracting 2790 from 3340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5500, and continue the process.

Let's proceed to step 12:
The number 558 fits into 5500 9 times, leaving a remainder of 478.
Record the quotient 9 as the next digit in the result. 
Result so far: 19723.2759
Deduct 5022 from 5500 and we're left with 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

Advancing to step 13:
When dividing 4780 by 558, we get 8 with a remainder of 316.
Put 8 as the next digit of the answer. 
Result so far: 19723.27598
Subtract 4464 from 4780 to get 316.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3160, and continue the process.

Step 14:
558 can be fit into 3160 5 times, resulting in a remainder of 370.
Record the quotient 5 as the next digit in the result. 
Result so far: 19723.275985
If we subtract 2790 from 3160, we get 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

Step 15:
When dividing 3700 by 558, we get 6 with a remainder of 352.
Record the quotient 6 as the next digit in the result. 
Result so far: 19723.2759856
If we subtract 3348 from 3700, we get 352.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3520, and continue the process.

On to step 16:
If we divide 3520 by 558, we get 6 and a remainder of 172.
The next digit of our result is 6. 
Result so far: 19723.27598566
If we subtract 3348 from 3520, we get 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

In conclusion, the division gives 19723.27598566 with a balance of 1.72e-07.