We're dividing 204164 by 90 
Our goal is to divide 204164 by 90.

Going ahead to step 1:
90 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 90

Step 2:
20 divided by 90 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 20 to get 20.
Bring next digit (4) of the dividend behind the 20 and repeat the process: 204 / 90

Advancing to step 3:
204 divided by 90 is 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 180 from 204 and we're left with 24.
Append the next digit (1) from the dividend to 24 and continue with: 241 / 90

On to step 4:
90 can be fit into 241 2 times, resulting in a remainder of 61.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
The remainder is 61 after subtracting 180 from 241.
Append the next digit (6) from the dividend to 61 and continue with: 616 / 90

Advancing to step 5:
616 divided by 90 is 6 with a remainder of 76.
The number 6 becomes the next digit in our result. 
Result so far: 226.0
If we subtract 540 from 616, we get 76.
Grab the next digit (4) from the dividend, add it to 76, then carry on: 764 / 90

On to step 6:
764 divided by 90 is 8 with a remainder of 44.
Record the quotient 8 as the next digit in the result. 
Result so far: 2268.0
Subtracting 720 from 764 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 7:
If we divide 440 by 90, we get 4 and a remainder of 80.
Record the quotient 4 as the next digit in the result. 
Result so far: 2268.4
Subtract 360 from 440 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 8:
90 goes into 800 8 times with a remainder of 80.
The number 8 becomes the next digit in our result. 
Result so far: 2268.48
Subtract 720 from 800 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 9:
The number 90 fits into 800 8 times, leaving a remainder of 80.
The number 8 becomes the next digit in our result. 
Result so far: 2268.488
The remainder is 80 after subtracting 720 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

In conclusion, the division gives 2268.488 with a balance of 0.008.