We divide 205375 by 96
We want to figure out the number of times 205375 can be divided by 96.

Going ahead to step 1:
2 divided by 96 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 96

Let's proceed to step 2:
20 divided by 96 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 20, we end up with 20.
Append the next digit (5) from the dividend to 20 and continue with: 205 / 96

Let's proceed to step 3:
The number 96 fits into 205 2 times, leaving a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 192 from 205 to get 13.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 96

Advancing to step 4:
96 goes into 133 1 times with a remainder of 37.
The next digit of our result is 1. 
Result so far: 21.0
Subtract 96 from 133 to get 37.
Include the next digit (7) from the dividend after 37, then repeat: 377 / 96

Going ahead to step 5:
96 can be fit into 377 3 times, resulting in a remainder of 89.
The next digit of our result is 3. 
Result so far: 213.0
The remainder is 89 after subtracting 288 from 377.
Include the next digit (5) from the dividend after 89, then repeat: 895 / 96

Step 6:
895 divided by 96 is 9 with a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 2139.0
Subtracting 864 from 895 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 7:
310 divided by 96 is 3 with a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 2139.3
The remainder is 22 after subtracting 288 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
220 divided by 96 is 2 with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 2139.32
If we take 192 away from 220, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 9:
If we divide 280 by 96, we get 2 and a remainder of 88.
The number 2 becomes the next digit in our result. 
Result so far: 2139.322
If we take 192 away from 280, we end up with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

In conclusion, the division gives 2139.322 with a balance of 0.0088.