We're dividing 77865 by 85 
We want to divide 77865 by 85.

Advancing to step 1:
7 divided by 85 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 85

Advancing to step 2:
85 can be fit into 77 0 times, resulting in a remainder of 77.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 77 to get 77.
Include the next digit (8) from the dividend after 77, then repeat: 778 / 85

Going ahead to step 3:
The number 85 fits into 778 9 times, leaving a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtract 765 from 778 to get 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 85

Let's proceed to step 4:
85 can be fit into 136 1 times, resulting in a remainder of 51.
The number 1 becomes the next digit in our result. 
Result so far: 91.0
Deduct 85 from 136 and we're left with 51.
Include the next digit (5) from the dividend after 51, then repeat: 515 / 85

On to step 5:
The number 85 fits into 515 6 times, leaving a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 916.0
If we subtract 510 from 515, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 6:
If we divide 50 by 85, we get 0 and a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 916.0
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 7:
The number 85 fits into 500 5 times, leaving a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 916.05
The remainder is 75 after subtracting 425 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 8:
The number 85 fits into 750 8 times, leaving a remainder of 70.
The number 8 becomes the next digit in our result. 
Result so far: 916.058
The remainder is 70 after subtracting 680 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 9:
700 divided by 85 is 8 with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 916.0588
Subtract 680 from 700 to 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.

In conclusion, the division gives 916.0588 with a balance of 0.0002.