777738 ÷ 25 
The aim is to understand the frequency of 25 in 777738.

Advancing to step 1:
25 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 25

Let's proceed to step 2:
When dividing 77 by 25, we get 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 2 after subtracting 75 from 77.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 25

Advancing to step 3:
If we divide 27 by 25, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 31.0
Subtracting 25 from 27 leaves us with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 25

Moving on to step 4:
If we divide 27 by 25, we get 1 and a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 311.0
The remainder is 2 after subtracting 25 from 27.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 25

Going ahead to step 5:
If we divide 23 by 25, we get 0 and a remainder of 23.
Put 0 as the next digit of the answer. 
Result so far: 3110.0
The remainder is 23 after subtracting 0 from 23.
Fetch the next digit (8) from the dividend, attach it to 23 and continue: 238 / 25

On to step 6:
25 goes into 238 9 times with a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 31109.0
Deduct 225 from 238 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
When dividing 130 by 25, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 31109.5
Subtracting 125 from 130 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
25 can be fit into 50 2 times, resulting in a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 31109.52
Deduct 50 from 50 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.

Let's proceed to step 9:
When dividing 0 by 25, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 31109.52
If we subtract 0 from 0, we 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:
If we divide 0 by 25, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 31109.52
Subtracting 0 from 0 leaves us 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 31109.52, and the remainder is 0.0.