83205 ÷ 81 
We're looking to find how many times 81 goes into 83205.

Let's proceed to step 1:
When dividing 8 by 81, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Grab the next digit (3) from the dividend, add it to 8, then carry on: 83 / 81

Step 2:
81 goes into 83 1 times with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 81 from 83, we get 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 81

Let's proceed to step 3:
81 goes into 22 0 times with a remainder of 22.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 22 after subtracting 0 from 22.
Include the next digit (0) from the dividend after 22, then repeat: 220 / 81

Let's proceed to step 4:
If we divide 220 by 81, we get 2 and a remainder of 58.
The next digit of our result is 2. 
Result so far: 102.0
Subtract 162 from 220 to get 58.
Fetch the next digit (5) from the dividend, attach it to 58 and continue: 585 / 81

Going ahead to step 5:
81 can be fit into 585 7 times, resulting in a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 1027.0
Deduct 567 from 585 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 6:
When dividing 180 by 81, we get 2 with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 1027.2
Deduct 162 from 180 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 7:
The number 81 fits into 180 2 times, leaving a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 1027.22
Subtracting 162 from 180 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 1027.22 with a balance of 0.018.