25779201 ÷ 557 
The aim is to understand the frequency of 557 in 25779201.

Let's proceed to step 1:
When dividing 2 by 557, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 557

On to step 2:
The number 557 fits into 25 0 times, leaving a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 557

Advancing to step 3:
557 goes into 257 0 times with a remainder of 257.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 257 to get 257.
Append the next digit (7) from the dividend to 257 and continue with: 2577 / 557

On to step 4:
The number 557 fits into 2577 4 times, leaving a remainder of 349.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 2228 from 2577 and we're left with 349.
Include the next digit (9) from the dividend after 349, then repeat: 3499 / 557

Advancing to step 5:
If we divide 3499 by 557, we get 6 and a remainder of 157.
Write down 6 as next digit of the result. 
Result so far: 46.0
Subtract 3342 from 3499 to get 157.
Grab the next digit (2) from the dividend, add it to 157, then carry on: 1572 / 557

Moving on to step 6:
557 can be fit into 1572 2 times, resulting in a remainder of 458.
Use 2 as the next digit of our solution. 
Result so far: 462.0
If we take 1114 away from 1572, we end up with 458.
Include the next digit (0) from the dividend after 458, then repeat: 4580 / 557

Step 7:
The number 557 fits into 4580 8 times, leaving a remainder of 124.
Write down 8 as next digit of the result. 
Result so far: 4628.0
The remainder is 124 after subtracting 4456 from 4580.
Bring next digit (1) of the dividend behind the 124 and repeat the process: 1241 / 557

Moving on to step 8:
557 goes into 1241 2 times with a remainder of 127.
Put 2 as the next digit of the answer. 
Result so far: 46282.0
Deduct 1114 from 1241 and we're left with 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1270, and continue the process.

On to step 9:
557 goes into 1270 2 times with a remainder of 156.
The number 2 becomes the next digit in our result. 
Result so far: 46282.2
Subtract 1114 from 1270 to get 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

On to step 10:
The number 557 fits into 1560 2 times, leaving a remainder of 446.
Use 2 as the next digit of our solution. 
Result so far: 46282.22
Subtracting 1114 from 1560 leaves us with 446.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4460, and continue the process.

After the division, we end up with 46282.22 and a remainder of 0.446.