We look at the division of 19424325 by 557 
Let's see how many times 557 fits into 19424325.

Going ahead to step 1:
If we divide 1 by 557, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 557

Moving on to step 2:
If we divide 19 by 557, we get 0 and a remainder of 19.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 19 after subtracting 0 from 19.
Bring next digit (4) of the dividend behind the 19 and repeat the process: 194 / 557

Step 3:
The number 557 fits into 194 0 times, leaving a remainder of 194.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 194 to get 194.
Include the next digit (2) from the dividend after 194, then repeat: 1942 / 557

Moving on to step 4:
When dividing 1942 by 557, we get 3 with a remainder of 271.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 271 after subtracting 1671 from 1942.
Bring next digit (4) of the dividend behind the 271 and repeat the process: 2714 / 557

Step 5:
If we divide 2714 by 557, we get 4 and a remainder of 486.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
If we take 2228 away from 2714, we end up with 486.
Take the next digit (3) from the dividend and append it to 486, then repeat: 4863 / 557

On to step 6:
557 goes into 4863 8 times with a remainder of 407.
Put 8 as the next digit of the answer. 
Result so far: 348.0
If we subtract 4456 from 4863, we get 407.
Append the next digit (2) from the dividend to 407 and continue with: 4072 / 557

Let's proceed to step 7:
The number 557 fits into 4072 7 times, leaving a remainder of 173.
Write down 7 as next digit of the result. 
Result so far: 3487.0
Deduct 3899 from 4072 and we're left with 173.
Include the next digit (5) from the dividend after 173, then repeat: 1735 / 557

Going ahead to step 8:
557 can be fit into 1735 3 times, resulting in a remainder of 64.
Write down 3 as next digit of the result. 
Result so far: 34873.0
The remainder is 64 after subtracting 1671 from 1735.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 9:
The number 557 fits into 640 1 times, leaving a remainder of 83.
Record the quotient 1 as the next digit in the result. 
Result so far: 34873.1
Deduct 557 from 640 and we're left with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Let's proceed to step 10:
557 can be fit into 830 1 times, resulting in a remainder of 273.
Use 1 as the next digit of our solution. 
Result so far: 34873.11
Subtracting 557 from 830 leaves us with 273.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2730, and continue the process.

The final result is 34873.11 with a remainder of 0.273.