We're dividing 71106433 by 558 
Let's see how many times 558 fits into 71106433.

Advancing to step 1:
The number 558 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 558

Step 2:
558 goes into 71 0 times with a remainder of 71.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 71 leaves us with 71.
Fetch the next digit (1) from the dividend, attach it to 71 and continue: 711 / 558

Advancing to step 3:
711 divided by 558 is 1 with a remainder of 153.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 153 after subtracting 558 from 711.
Take the next digit (0) from the dividend and append it to 153, then repeat: 1530 / 558

Step 4:
558 goes into 1530 2 times with a remainder of 414.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtracting 1116 from 1530 leaves us with 414.
Append the next digit (6) from the dividend to 414 and continue with: 4146 / 558

Moving on to step 5:
The number 558 fits into 4146 7 times, leaving a remainder of 240.
The number 7 becomes the next digit in our result. 
Result so far: 127.0
Subtract 3906 from 4146 to get 240.
Grab the next digit (4) from the dividend, add it to 240, then carry on: 2404 / 558

Moving on to step 6:
The number 558 fits into 2404 4 times, leaving a remainder of 172.
The number 4 becomes the next digit in our result. 
Result so far: 1274.0
Deduct 2232 from 2404 and we're left with 172.
Grab the next digit (3) from the dividend, add it to 172, then carry on: 1723 / 558

Step 7:
When dividing 1723 by 558, we get 3 with a remainder of 49.
Use 3 as the next digit of our solution. 
Result so far: 12743.0
Subtract 1674 from 1723 to get 49.
Take the next digit (3) from the dividend and append it to 49, then repeat: 493 / 558

On to step 8:
558 goes into 493 0 times with a remainder of 493.
Record the quotient 0 as the next digit in the result. 
Result so far: 127430.0
The remainder is 493 after subtracting 0 from 493.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4930, and continue the process.

Going ahead to step 9:
When dividing 4930 by 558, we get 8 with a remainder of 466.
Write down 8 as next digit of the result. 
Result so far: 127430.8
Deduct 4464 from 4930 and we're left with 466.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4660, and continue the process.

Going ahead to step 10:
The number 558 fits into 4660 8 times, leaving a remainder of 196.
Put 8 as the next digit of the answer. 
Result so far: 127430.88
Subtracting 4464 from 4660 leaves us with 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

In conclusion, the division gives 127430.88 with a balance of 0.196.