778719 ÷ 25 
Let's see how many times 25 fits into 778719.

Advancing to step 1:
25 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 25

Advancing to step 2:
25 can be fit into 77 3 times, resulting in a remainder of 2.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 75 from 77 and we're left with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 25

Let's proceed to step 3:
When dividing 28 by 25, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
If we take 25 away from 28, we end up with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 25

Advancing to step 4:
25 goes into 37 1 times with a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 311.0
Deduct 25 from 37 and we're left with 12.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 25

Advancing to step 5:
When dividing 121 by 25, we get 4 with a remainder of 21.
Use 4 as the next digit of our solution. 
Result so far: 3114.0
The remainder is 21 after subtracting 100 from 121.
Bring next digit (9) of the dividend behind the 21 and repeat the process: 219 / 25

Advancing to step 6:
The number 25 fits into 219 8 times, leaving a remainder of 19.
The next digit of our result is 8. 
Result so far: 31148.0
If we take 200 away from 219, 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.

Step 7:
When dividing 190 by 25, we get 7 with a remainder of 15.
The next digit of our result is 7. 
Result so far: 31148.7
If we subtract 175 from 190, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
When dividing 150 by 25, we get 6 with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 31148.76
Subtract 150 from 150 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.

On 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: 31148.76
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.

Let's proceed to step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 31148.76
Deduct 0 from 0 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.

In conclusion, the division gives 31148.76 with a balance of 0.0.