We divide 261590 by 25
The aim is to understand the frequency of 25 in 261590.

Let's proceed to step 1:
25 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 25

Advancing to step 2:
If we divide 26 by 25, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 25 away from 26, we end up with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 25

On to step 3:
When dividing 11 by 25, we get 0 with a remainder of 11.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 11 and we're left with 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 25

Advancing to step 4:
The number 25 fits into 115 4 times, leaving a remainder of 15.
Put 4 as the next digit of the answer. 
Result so far: 104.0
Subtracting 100 from 115 leaves us with 15.
Fetch the next digit (9) from the dividend, attach it to 15 and continue: 159 / 25

Step 5:
If we divide 159 by 25, we get 6 and a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 1046.0
Subtract 150 from 159 to get 9.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 25

On to step 6:
The number 25 fits into 90 3 times, leaving a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 10463.0
Deduct 75 from 90 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 7:
150 divided by 25 is 6 with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 10463.6
Deduct 150 from 150 and we're left 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.

Moving on to step 8:
0 divided by 25 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10463.6
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 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10463.6
The remainder is 0 after subtracting 0 from 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 10463.6, and the remainder is 0.0.