We look at the division of 776394 by 25 
We want to figure out the number of times 776394 can be divided by 25.

On to step 1:
The number 25 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 25

Going ahead to step 2:
When dividing 77 by 25, we get 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 3.0
If we take 75 away from 77, we end up with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 25

On to step 3:
If we divide 26 by 25, we get 1 and a remainder of 1.
The next digit of our result is 1. 
Result so far: 31.0
Deduct 25 from 26 and we're left with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 25

Moving on to step 4:
When dividing 13 by 25, we get 0 with a remainder of 13.
The next digit of our result is 0. 
Result so far: 310.0
The remainder is 13 after subtracting 0 from 13.
Bring next digit (9) of the dividend behind the 13 and repeat the process: 139 / 25

On to step 5:
If we divide 139 by 25, we get 5 and a remainder of 14.
Use 5 as the next digit of our solution. 
Result so far: 3105.0
The remainder is 14 after subtracting 125 from 139.
Append the next digit (4) from the dividend to 14 and continue with: 144 / 25

On to step 6:
The number 25 fits into 144 5 times, leaving a remainder of 19.
The next digit of our result is 5. 
Result so far: 31055.0
If we take 125 away from 144, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
When dividing 190 by 25, we get 7 with a remainder of 15.
Put 7 as the next digit of the answer. 
Result so far: 31055.7
The remainder is 15 after subtracting 175 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
150 divided by 25 is 6 with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 31055.76
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 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 31055.76
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.

Going ahead to step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 31055.76
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 final result is 31055.76 with a remainder of 0.0.