2565 divided by 69 
The aim is to understand the frequency of 69 in 2565.

Step 1:
If we divide 2 by 69, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 69

Moving on to step 2:
69 can be fit into 25 0 times, resulting in a remainder of 25.
Write down 0 as next digit of the 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 / 69

Moving on to step 3:
When dividing 256 by 69, we get 3 with a remainder of 49.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 207 from 256 to get 49.
Append the next digit (5) from the dividend to 49 and continue with: 495 / 69

Going ahead to step 4:
The number 69 fits into 495 7 times, leaving a remainder of 12.
The next digit of our result is 7. 
Result so far: 37.0
Subtracting 483 from 495 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 5:
When dividing 120 by 69, we get 1 with a remainder of 51.
Write down 1 as next digit of the result. 
Result so far: 37.1
Deduct 69 from 120 and we're left 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.

Step 6:
69 goes into 510 7 times with a remainder of 27.
The next digit of our result is 7. 
Result so far: 37.17
If we take 483 away from 510, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 7:
When dividing 270 by 69, we get 3 with a remainder of 63.
The next digit of our result is 3. 
Result so far: 37.173
If we take 207 away from 270, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 8:
When dividing 630 by 69, we get 9 with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 37.1739
If we take 621 away from 630, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 9:
The number 69 fits into 90 1 times, leaving a remainder of 21.
The next digit of our result is 1. 
Result so far: 37.17391
The remainder is 21 after subtracting 69 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 10:
If we divide 210 by 69, we get 3 and a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 37.173913
Subtract 207 from 210 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 11:
69 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 37.173913
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
69 goes into 300 4 times with a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 37.17391304
If we take 276 away from 300, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 37.17391304 with a balance of 2.4e-08.