We look at the division of 30022003 by 557 
The aim is to understand the frequency of 557 in 30022003.

Advancing to step 1:
When dividing 3 by 557, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 557

Going ahead to step 2:
557 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Bring next digit (0) of the dividend behind the 30 and repeat the process: 300 / 557

Advancing to step 3:
If we divide 300 by 557, we get 0 and a remainder of 300.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 300 leaves us with 300.
Append the next digit (2) from the dividend to 300 and continue with: 3002 / 557

On to step 4:
3002 divided by 557 is 5 with a remainder of 217.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 2785 from 3002 to get 217.
Bring next digit (2) of the dividend behind the 217 and repeat the process: 2172 / 557

Moving on to step 5:
557 goes into 2172 3 times with a remainder of 501.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
If we take 1671 away from 2172, we end up with 501.
Fetch the next digit (0) from the dividend, attach it to 501 and continue: 5010 / 557

Advancing to step 6:
5010 divided by 557 is 8 with a remainder of 554.
Write down 8 as next digit of the result. 
Result so far: 538.0
If we take 4456 away from 5010, we end up with 554.
Fetch the next digit (0) from the dividend, attach it to 554 and continue: 5540 / 557

Step 7:
The number 557 fits into 5540 9 times, leaving a remainder of 527.
The next digit of our result is 9. 
Result so far: 5389.0
Deduct 5013 from 5540 and we're left with 527.
Append the next digit (3) from the dividend to 527 and continue with: 5273 / 557

Going ahead to step 8:
557 goes into 5273 9 times with a remainder of 260.
The next digit of our result is 9. 
Result so far: 53899.0
The remainder is 260 after subtracting 5013 from 5273.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

Going ahead to step 9:
When dividing 2600 by 557, we get 4 with a remainder of 372.
The next digit of our result is 4. 
Result so far: 53899.4
Subtracting 2228 from 2600 leaves us with 372.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3720, and continue the process.

Let's proceed to step 10:
When dividing 3720 by 557, we get 6 with a remainder of 378.
Use 6 as the next digit of our solution. 
Result so far: 53899.46
The remainder is 378 after subtracting 3342 from 3720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

Step 11:
The number 557 fits into 3780 6 times, leaving a remainder of 438.
The next digit of our result is 6. 
Result so far: 53899.466
Deduct 3342 from 3780 and we're left with 438.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4380, and continue the process.

The final result is 53899.466 with a remainder of 0.0438.