205 ÷ 97 
Our goal is to divide 205 by 97.

On to step 1:
When dividing 2 by 97, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 97

Advancing to step 2:
When dividing 20 by 97, we get 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.
Include the next digit (5) from the dividend after 20, then repeat: 205 / 97

On to step 3:
97 can be fit into 205 2 times, resulting in a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 194 from 205 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 4:
When dividing 110 by 97, we get 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 2.1
Subtract 97 from 110 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 5:
When dividing 130 by 97, we get 1 with a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 2.11
If we take 97 away from 130, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Our division results in 2.11 with a remaining 0.033.