We look at the division of 777942 by 25 
Our goal is to divide 777942 by 25.

Step 1:
25 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 25

Advancing to step 2:
If we divide 77 by 25, we get 3 and a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 75 from 77 and we're left with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 25

Let's proceed to step 3:
25 can be fit into 27 1 times, resulting in a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 31.0
The remainder is 2 after subtracting 25 from 27.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 25

Step 4:
If we divide 29 by 25, we get 1 and a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 311.0
Subtract 25 from 29 to get 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 25

Let's proceed to step 5:
When dividing 44 by 25, we get 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 3111.0
Subtract 25 from 44 to get 19.
Bring next digit (2) of the dividend behind the 19 and repeat the process: 192 / 25

Step 6:
192 divided by 25 is 7 with a remainder of 17.
The next digit of our result is 7. 
Result so far: 31117.0
Subtract 175 from 192 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
When dividing 170 by 25, we get 6 with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 31117.6
If we subtract 150 from 170, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
200 divided by 25 is 8 with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 31117.68
Deduct 200 from 200 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:
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: 31117.68
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.

Step 10:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 31117.68
Subtract 0 from 0 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.

In conclusion, the division gives 31117.68 with a balance of 0.0.