We're dividing 25905229 by 641 
The aim is to understand the frequency of 641 in 25905229.

Going ahead to step 1:
The number 641 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 641

Moving on to step 2:
25 divided by 641 is 0 with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Take the next digit (9) from the dividend and append it to 25, then repeat: 259 / 641

Advancing to step 3:
When dividing 259 by 641, we get 0 with a remainder of 259.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 259 after subtracting 0 from 259.
Grab the next digit (0) from the dividend, add it to 259, then carry on: 2590 / 641

Advancing to step 4:
641 goes into 2590 4 times with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 2564 from 2590 leaves us with 26.
Bring next digit (5) of the dividend behind the 26 and repeat the process: 265 / 641

Moving on to step 5:
641 can be fit into 265 0 times, resulting in a remainder of 265.
The next digit of our result is 0. 
Result so far: 40.0
If we take 0 away from 265, we end up with 265.
Bring next digit (2) of the dividend behind the 265 and repeat the process: 2652 / 641

Moving on to step 6:
641 goes into 2652 4 times with a remainder of 88.
Write down 4 as next digit of the result. 
Result so far: 404.0
Subtract 2564 from 2652 to get 88.
Append the next digit (2) from the dividend to 88 and continue with: 882 / 641

Advancing to step 7:
641 goes into 882 1 times with a remainder of 241.
Put 1 as the next digit of the answer. 
Result so far: 4041.0
If we take 641 away from 882, we end up with 241.
Append the next digit (9) from the dividend to 241 and continue with: 2419 / 641

Moving on to step 8:
641 can be fit into 2419 3 times, resulting in a remainder of 496.
Write down 3 as next digit of the result. 
Result so far: 40413.0
If we take 1923 away from 2419, we end up with 496.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4960, and continue the process.

Let's proceed to step 9:
641 can be fit into 4960 7 times, resulting in a remainder of 473.
Use 7 as the next digit of our solution. 
Result so far: 40413.7
The remainder is 473 after subtracting 4487 from 4960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4730, and continue the process.

Moving on to step 10:
4730 divided by 641 is 7 with a remainder of 243.
The number 7 becomes the next digit in our result. 
Result so far: 40413.77
Deduct 4487 from 4730 and we're left with 243.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2430, and continue the process.

After the division, we end up with 40413.77 and a remainder of 0.243.