25186925 ÷ 778 
The aim is to understand the frequency of 778 in 25186925.

Step 1:
If we divide 2 by 778, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 778

Going ahead to step 2:
25 divided by 778 is 0 with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Include the next digit (1) from the dividend after 25, then repeat: 251 / 778

Moving on to step 3:
If we divide 251 by 778, we get 0 and a remainder of 251.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 251 to get 251.
Grab the next digit (8) from the dividend, add it to 251, then carry on: 2518 / 778

Moving on to step 4:
When dividing 2518 by 778, we get 3 with a remainder of 184.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 2334 from 2518 to get 184.
Grab the next digit (6) from the dividend, add it to 184, then carry on: 1846 / 778

Step 5:
If we divide 1846 by 778, we get 2 and a remainder of 290.
Record the quotient 2 as the next digit in the result. 
Result so far: 32.0
Subtracting 1556 from 1846 leaves us with 290.
Fetch the next digit (9) from the dividend, attach it to 290 and continue: 2909 / 778

Let's proceed to step 6:
When dividing 2909 by 778, we get 3 with a remainder of 575.
Record the quotient 3 as the next digit in the result. 
Result so far: 323.0
If we subtract 2334 from 2909, we get 575.
Include the next digit (2) from the dividend after 575, then repeat: 5752 / 778

Moving on to step 7:
When dividing 5752 by 778, we get 7 with a remainder of 306.
Record the quotient 7 as the next digit in the result. 
Result so far: 3237.0
Deduct 5446 from 5752 and we're left with 306.
Include the next digit (5) from the dividend after 306, then repeat: 3065 / 778

On to step 8:
778 can be fit into 3065 3 times, resulting in a remainder of 731.
The next digit of our result is 3. 
Result so far: 32373.0
If we subtract 2334 from 3065, we get 731.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7310, and continue the process.

Advancing to step 9:
The number 778 fits into 7310 9 times, leaving a remainder of 308.
Record the quotient 9 as the next digit in the result. 
Result so far: 32373.9
Subtracting 7002 from 7310 leaves us with 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

On to step 10:
If we divide 3080 by 778, we get 3 and a remainder of 746.
The number 3 becomes the next digit in our result. 
Result so far: 32373.93
Subtracting 2334 from 3080 leaves us with 746.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7460, and continue the process.

On to step 11:
The number 778 fits into 7460 9 times, leaving a remainder of 458.
Put 9 as the next digit of the answer. 
Result so far: 32373.939
Subtract 7002 from 7460 to get 458.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4580, and continue the process.

Let's proceed to step 12:
778 can be fit into 4580 5 times, resulting in a remainder of 690.
Record the quotient 5 as the next digit in the result. 
Result so far: 32373.9395
If we take 3890 away from 4580, we end up with 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6900, and continue the process.

Advancing to step 13:
When dividing 6900 by 778, we get 8 with a remainder of 676.
Put 8 as the next digit of the answer. 
Result so far: 32373.93958
If we take 6224 away from 6900, we end up with 676.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6760, and continue the process.

Moving on to step 14:
If we divide 6760 by 778, we get 8 and a remainder of 536.
The number 8 becomes the next digit in our result. 
Result so far: 32373.939588
If we subtract 6224 from 6760, we get 536.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5360, and continue the process.

In conclusion, the division gives 32373.939588 with a balance of 5.36e-05.