We look at the division of 35434172 by 558 
Our goal is to divide 35434172 by 558.

On to step 1:
If we divide 3 by 558, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 558

Step 2:
558 can be fit into 35 0 times, resulting in a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Grab the next digit (4) from the dividend, add it to 35, then carry on: 354 / 558

Step 3:
If we divide 354 by 558, we get 0 and a remainder of 354.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 354, we end up with 354.
Append the next digit (3) from the dividend to 354 and continue with: 3543 / 558

Going ahead to step 4:
3543 divided by 558 is 6 with a remainder of 195.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 195 after subtracting 3348 from 3543.
Fetch the next digit (4) from the dividend, attach it to 195 and continue: 1954 / 558

Advancing to step 5:
When dividing 1954 by 558, we get 3 with a remainder of 280.
Use 3 as the next digit of our solution. 
Result so far: 63.0
Deduct 1674 from 1954 and we're left with 280.
Include the next digit (1) from the dividend after 280, then repeat: 2801 / 558

Advancing to step 6:
558 can be fit into 2801 5 times, resulting in a remainder of 11.
Use 5 as the next digit of our solution. 
Result so far: 635.0
If we take 2790 away from 2801, we end up with 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 558

Moving on to step 7:
If we divide 117 by 558, we get 0 and a remainder of 117.
The number 0 becomes the next digit in our result. 
Result so far: 6350.0
If we subtract 0 from 117, we get 117.
Fetch the next digit (2) from the dividend, attach it to 117 and continue: 1172 / 558

On to step 8:
When dividing 1172 by 558, we get 2 with a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 63502.0
The remainder is 56 after subtracting 1116 from 1172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 9:
558 can be fit into 560 1 times, resulting in a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 63502.1
Deduct 558 from 560 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
558 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 63502.1
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 11:
The number 558 fits into 200 0 times, leaving a remainder of 200.
Use 0 as the next digit of our solution. 
Result so far: 63502.1
Subtract 0 from 200 to get 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

The quotient of the division is 63502.1, and the remainder is 0.02.