We look at the division of 105685 by 80 
We want to figure out the number of times 105685 can be divided by 80.

Going ahead to step 1:
When dividing 1 by 80, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 80

Advancing to step 2:
When dividing 10 by 80, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 80

Step 3:
80 can be fit into 105 1 times, resulting in a remainder of 25.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 25 after subtracting 80 from 105.
Include the next digit (6) from the dividend after 25, then repeat: 256 / 80

Step 4:
256 divided by 80 is 3 with a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtract 240 from 256 to get 16.
Append the next digit (8) from the dividend to 16 and continue with: 168 / 80

Moving on to step 5:
The number 80 fits into 168 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 132.0
Subtracting 160 from 168 leaves us with 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 80

Step 6:
If we divide 85 by 80, we get 1 and a remainder of 5.
The next digit of our result is 1. 
Result so far: 1321.0
The remainder is 5 after subtracting 80 from 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
When dividing 50 by 80, we get 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 1321.0
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 8:
80 goes into 500 6 times with a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 1321.06
Subtracting 480 from 500 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
200 divided by 80 is 2 with a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 1321.062
If we subtract 160 from 200, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 10:
80 can be fit into 400 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 1321.0625
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.

Moving on to step 11:
If we divide 0 by 80, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 1321.0625
If we take 0 away from 0, we end up 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:
80 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 1321.0625
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.

In conclusion, the division gives 1321.0625 with a balance of 0.0.