We're dividing 777425 by 80 
Our goal is to divide 777425 by 80.

Moving on to step 1:
80 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 80

Step 2:
If we divide 77 by 80, we get 0 and a remainder of 77.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 77, we end up with 77.
Grab the next digit (7) from the dividend, add it to 77, then carry on: 777 / 80

Moving on to step 3:
If we divide 777 by 80, we get 9 and a remainder of 57.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtracting 720 from 777 leaves us with 57.
Append the next digit (4) from the dividend to 57 and continue with: 574 / 80

Advancing to step 4:
When dividing 574 by 80, we get 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 97.0
Deduct 560 from 574 and we're left with 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 80

Step 5:
80 can be fit into 142 1 times, resulting in a remainder of 62.
Record the quotient 1 as the next digit in the result. 
Result so far: 971.0
Deduct 80 from 142 and we're left with 62.
Bring next digit (5) of the dividend behind the 62 and repeat the process: 625 / 80

On to step 6:
625 divided by 80 is 7 with a remainder of 65.
Record the quotient 7 as the next digit in the result. 
Result so far: 9717.0
Deduct 560 from 625 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 7:
80 goes into 650 8 times with a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 9717.8
If we take 640 away from 650, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
The number 80 fits into 100 1 times, leaving a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 9717.81
If we subtract 80 from 100, 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.

On to step 9:
If we divide 200 by 80, we get 2 and a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 9717.812
If we take 160 away from 200, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
400 divided by 80 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 9717.8125
Subtracting 400 from 400 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 11:
The number 80 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 9717.8125
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.

Let's proceed to step 12:
If we divide 0 by 80, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 9717.8125
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.

In conclusion, the division gives 9717.8125 with a balance of 0.0.