We look at the division of 42225979 by 557 
The aim is to understand the frequency of 557 in 42225979.

Let's proceed to step 1:
The number 557 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 557

Step 2:
42 divided by 557 is 0 with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Take the next digit (2) from the dividend and append it to 42, then repeat: 422 / 557

On to step 3:
422 divided by 557 is 0 with a remainder of 422.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 422, we get 422.
Take the next digit (2) from the dividend and append it to 422, then repeat: 4222 / 557

On to step 4:
4222 divided by 557 is 7 with a remainder of 323.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 3899 from 4222 leaves us with 323.
Fetch the next digit (5) from the dividend, attach it to 323 and continue: 3235 / 557

On to step 5:
557 can be fit into 3235 5 times, resulting in a remainder of 450.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
Deduct 2785 from 3235 and we're left with 450.
Take the next digit (9) from the dividend and append it to 450, then repeat: 4509 / 557

On to step 6:
The number 557 fits into 4509 8 times, leaving a remainder of 53.
Put 8 as the next digit of the answer. 
Result so far: 758.0
Deduct 4456 from 4509 and we're left with 53.
Include the next digit (7) from the dividend after 53, then repeat: 537 / 557

Moving on to step 7:
537 divided by 557 is 0 with a remainder of 537.
Record the quotient 0 as the next digit in the result. 
Result so far: 7580.0
Subtracting 0 from 537 leaves us with 537.
Include the next digit (9) from the dividend after 537, then repeat: 5379 / 557

Going ahead to step 8:
557 can be fit into 5379 9 times, resulting in a remainder of 366.
Write down 9 as next digit of the result. 
Result so far: 75809.0
If we take 5013 away from 5379, we end up with 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

Going ahead to step 9:
If we divide 3660 by 557, we get 6 and a remainder of 318.
The next digit of our result is 6. 
Result so far: 75809.6
Subtracting 3342 from 3660 leaves us with 318.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3180, and continue the process.

Advancing to step 10:
3180 divided by 557 is 5 with a remainder of 395.
Put 5 as the next digit of the answer. 
Result so far: 75809.65
Subtract 2785 from 3180 to get 395.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3950, and continue the process.

Step 11:
557 goes into 3950 7 times with a remainder of 51.
Put 7 as the next digit of the answer. 
Result so far: 75809.657
If we take 3899 away from 3950, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing to step 12:
The number 557 fits into 510 0 times, leaving a remainder of 510.
Record the quotient 0 as the next digit in the result. 
Result so far: 75809.657
If we take 0 away from 510, we end up with 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5100, and continue the process.

Moving on to step 13:
When dividing 5100 by 557, we get 9 with a remainder of 87.
Record the quotient 9 as the next digit in the result. 
Result so far: 75809.65709
Subtract 5013 from 5100 to get 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Moving on to step 14:
557 can be fit into 870 1 times, resulting in a remainder of 313.
Write down 1 as next digit of the result. 
Result so far: 75809.657091
If we take 557 away from 870, we end up with 313.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3130, and continue the process.

Moving on to step 15:
If we divide 3130 by 557, we get 5 and a remainder of 345.
Put 5 as the next digit of the answer. 
Result so far: 75809.6570915
If we take 2785 away from 3130, we end up with 345.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3450, and continue the process.

Advancing to step 16:
If we divide 3450 by 557, we get 6 and a remainder of 108.
Put 6 as the next digit of the answer. 
Result so far: 75809.65709156
If we take 3342 away from 3450, we end up with 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

The quotient of the division is 75809.65709156, and the remainder is 1.08e-07.