We look at the division of 25964588 by 653 
The aim is to understand the frequency of 653 in 25964588.

On to step 1:
If we divide 2 by 653, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 653

Moving on to step 2:
25 divided by 653 is 0 with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Include the next digit (9) from the dividend after 25, then repeat: 259 / 653

Let's proceed to step 3:
653 goes into 259 0 times with a remainder of 259.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 259 and we're left with 259.
Take the next digit (6) from the dividend and append it to 259, then repeat: 2596 / 653

On to step 4:
If we divide 2596 by 653, we get 3 and a remainder of 637.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 1959 from 2596 leaves us with 637.
Include the next digit (4) from the dividend after 637, then repeat: 6374 / 653

Let's proceed to step 5:
653 goes into 6374 9 times with a remainder of 497.
Use 9 as the next digit of our solution. 
Result so far: 39.0
Subtracting 5877 from 6374 leaves us with 497.
Grab the next digit (5) from the dividend, add it to 497, then carry on: 4975 / 653

Let's proceed to step 6:
The number 653 fits into 4975 7 times, leaving a remainder of 404.
Use 7 as the next digit of our solution. 
Result so far: 397.0
Deduct 4571 from 4975 and we're left with 404.
Fetch the next digit (8) from the dividend, attach it to 404 and continue: 4048 / 653

Going ahead to step 7:
4048 divided by 653 is 6 with a remainder of 130.
Use 6 as the next digit of our solution. 
Result so far: 3976.0
If we take 3918 away from 4048, we end up with 130.
Fetch the next digit (8) from the dividend, attach it to 130 and continue: 1308 / 653

Moving on to step 8:
653 goes into 1308 2 times with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 39762.0
Deduct 1306 from 1308 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
If we divide 20 by 653, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 39762.0
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 10:
If we divide 200 by 653, we get 0 and a remainder of 200.
Use 0 as the next digit of our solution. 
Result so far: 39762.0
If we take 0 away from 200, we end up with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

In conclusion, the division gives 39762.0 with a balance of 0.2.