We're dividing 772134 by 25 
We want to figure out the number of times 772134 can be divided by 25.

Step 1:
When dividing 7 by 25, we get 0 with a remainder of 7.
The next digit of our result is 0. 
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

Moving on 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
Subtract 75 from 77 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 25

Step 3:
25 can be fit into 22 0 times, resulting in a remainder of 22.
Use 0 as the next digit of our solution. 
Result so far: 30.0
The remainder is 22 after subtracting 0 from 22.
Take the next digit (1) from the dividend and append it to 22, then repeat: 221 / 25

Moving on to step 4:
When dividing 221 by 25, we get 8 with a remainder of 21.
Put 8 as the next digit of the answer. 
Result so far: 308.0
Subtract 200 from 221 to get 21.
Bring next digit (3) of the dividend behind the 21 and repeat the process: 213 / 25

Let's proceed to step 5:
25 can be fit into 213 8 times, resulting in a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 3088.0
The remainder is 13 after subtracting 200 from 213.
Take the next digit (4) from the dividend and append it to 13, then repeat: 134 / 25

Going ahead to step 6:
134 divided by 25 is 5 with a remainder of 9.
Write down 5 as next digit of the result. 
Result so far: 30885.0
Subtract 125 from 134 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
When dividing 90 by 25, we get 3 with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 30885.3
If we take 75 away from 90, we end up with 15.
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:
25 goes into 150 6 times with a remainder of 0.
The next digit of our result is 6. 
Result so far: 30885.36
The remainder is 0 after subtracting 150 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
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: 30885.36
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.

Going ahead to step 10:
If we divide 0 by 25, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 30885.36
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.

In conclusion, the division gives 30885.36 with a balance of 0.0.