25191977 ÷ 778 
Our goal is to divide 25191977 by 778.

Moving on to step 1:
778 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 778

Step 2:
If we divide 25 by 778, we get 0 and 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

On to step 3:
778 goes into 251 0 times with a remainder of 251.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 251 leaves us with 251.
Take the next digit (9) from the dividend and append it to 251, then repeat: 2519 / 778

Step 4:
2519 divided by 778 is 3 with a remainder of 185.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 2334 from 2519 leaves us with 185.
Fetch the next digit (1) from the dividend, attach it to 185 and continue: 1851 / 778

Step 5:
The number 778 fits into 1851 2 times, leaving a remainder of 295.
Record the quotient 2 as the next digit in the result. 
Result so far: 32.0
The remainder is 295 after subtracting 1556 from 1851.
Grab the next digit (9) from the dividend, add it to 295, then carry on: 2959 / 778

Moving on to step 6:
778 goes into 2959 3 times with a remainder of 625.
Put 3 as the next digit of the answer. 
Result so far: 323.0
If we subtract 2334 from 2959, we get 625.
Take the next digit (7) from the dividend and append it to 625, then repeat: 6257 / 778

Let's proceed to step 7:
If we divide 6257 by 778, we get 8 and a remainder of 33.
Put 8 as the next digit of the answer. 
Result so far: 3238.0
Deduct 6224 from 6257 and we're left with 33.
Grab the next digit (7) from the dividend, add it to 33, then carry on: 337 / 778

Step 8:
337 divided by 778 is 0 with a remainder of 337.
The number 0 becomes the next digit in our result. 
Result so far: 32380.0
Subtracting 0 from 337 leaves us with 337.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3370, and continue the process.

Going ahead to step 9:
778 can be fit into 3370 4 times, resulting in a remainder of 258.
Write down 4 as next digit of the result. 
Result so far: 32380.4
If we subtract 3112 from 3370, we get 258.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2580, and continue the process.

Let's proceed to step 10:
778 goes into 2580 3 times with a remainder of 246.
Put 3 as the next digit of the answer. 
Result so far: 32380.43
If we take 2334 away from 2580, we end up with 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

Going ahead to step 11:
The number 778 fits into 2460 3 times, leaving a remainder of 126.
Use 3 as the next digit of our solution. 
Result so far: 32380.433
Deduct 2334 from 2460 and we're left with 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

In conclusion, the division gives 32380.433 with a balance of 0.0126.