771606 ÷ 80 
We want to figure out the number of times 771606 can be divided by 80.

Let's proceed to step 1:
80 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 80

Going ahead to 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 subtract 0 from 77, we get 77.
Take the next digit (1) from the dividend and append it to 77, then repeat: 771 / 80

Going ahead to step 3:
771 divided by 80 is 9 with a remainder of 51.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 720 away from 771, we end up with 51.
Include the next digit (6) from the dividend after 51, then repeat: 516 / 80

Going ahead to step 4:
516 divided by 80 is 6 with a remainder of 36.
Record the quotient 6 as the next digit in the result. 
Result so far: 96.0
If we take 480 away from 516, we end up with 36.
Take the next digit (0) from the dividend and append it to 36, then repeat: 360 / 80

Moving on to step 5:
80 can be fit into 360 4 times, resulting in a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 964.0
Subtract 320 from 360 to get 40.
Append the next digit (6) from the dividend to 40 and continue with: 406 / 80

Advancing to step 6:
If we divide 406 by 80, we get 5 and a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 9645.0
If we subtract 400 from 406, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
60 divided by 80 is 0 with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 9645.0
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 8:
80 can be fit into 600 7 times, resulting in a remainder of 40.
Record the quotient 7 as the next digit in the result. 
Result so far: 9645.07
If we take 560 away from 600, 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.

Going ahead to step 9:
When dividing 400 by 80, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 9645.075
Deduct 400 from 400 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.

On to step 10:
When dividing 0 by 80, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 9645.075
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.

On to step 11:
When dividing 0 by 80, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 9645.075
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.

In conclusion, the division gives 9645.075 with a balance of 0.0.