We look at the division of 25677911 by 522 
The aim is to understand the frequency of 522 in 25677911.

Step 1:
When dividing 2 by 522, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 522

Let's proceed to step 2:
When dividing 25 by 522, we get 0 with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Include the next digit (6) from the dividend after 25, then repeat: 256 / 522

Advancing to step 3:
If we divide 256 by 522, we get 0 and a remainder of 256.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 256 and we're left with 256.
Fetch the next digit (7) from the dividend, attach it to 256 and continue: 2567 / 522

Going ahead to step 4:
If we divide 2567 by 522, we get 4 and a remainder of 479.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 2088 from 2567, we get 479.
Grab the next digit (7) from the dividend, add it to 479, then carry on: 4797 / 522

Moving on to step 5:
4797 divided by 522 is 9 with a remainder of 99.
The next digit of our result is 9. 
Result so far: 49.0
Deduct 4698 from 4797 and we're left with 99.
Take the next digit (9) from the dividend and append it to 99, then repeat: 999 / 522

Going ahead to step 6:
When dividing 999 by 522, we get 1 with a remainder of 477.
Put 1 as the next digit of the answer. 
Result so far: 491.0
The remainder is 477 after subtracting 522 from 999.
Append the next digit (1) from the dividend to 477 and continue with: 4771 / 522

Let's proceed to step 7:
4771 divided by 522 is 9 with a remainder of 73.
Use 9 as the next digit of our solution. 
Result so far: 4919.0
The remainder is 73 after subtracting 4698 from 4771.
Include the next digit (1) from the dividend after 73, then repeat: 731 / 522

Going ahead to step 8:
If we divide 731 by 522, we get 1 and a remainder of 209.
The number 1 becomes the next digit in our result. 
Result so far: 49191.0
Subtract 522 from 731 to get 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

On to step 9:
522 can be fit into 2090 4 times, resulting in a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 49191.4
The remainder is 2 after subtracting 2088 from 2090.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
20 divided by 522 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 49191.4
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 11:
When dividing 200 by 522, we get 0 with a remainder of 200.
The number 0 becomes the next digit in our result. 
Result so far: 49191.4
Subtract 0 from 200 to get 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

After the division, we end up with 49191.4 and a remainder of 0.02.