We divide 125581 by 25
The aim is to understand the frequency of 25 in 125581.

Advancing to step 1:
When dividing 1 by 25, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 25

Moving on to step 2:
25 can be fit into 12 0 times, resulting in a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 25

Going ahead to step 3:
125 divided by 25 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 125 away from 125, we end up with 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 25

Advancing to step 4:
5 divided by 25 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 50.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 25

On to step 5:
25 goes into 58 2 times with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 502.0
The remainder is 8 after subtracting 50 from 58.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 25

Moving on to step 6:
If we divide 81 by 25, we get 3 and a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 5023.0
If we subtract 75 from 81, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
When dividing 60 by 25, we get 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 5023.2
Deduct 50 from 60 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
When dividing 100 by 25, we get 4 with a remainder of 0.
The next digit of our result is 4. 
Result so far: 5023.24
If we take 100 away from 100, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 5023.24
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
25 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5023.24
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 5023.24, and the remainder is 0.0.