205026 ÷ 2 
We want to figure out the number of times 205026 can be divided by 2.

Step 1:
2 divided by 2 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 2 from 2 and we're left with 0.
Take the next digit (0) from the dividend and append it to 0, then repeat: 0 / 2

Let's proceed to step 2:
When dividing 0 by 2, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 0 after subtracting 0 from 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 2

On to step 3:
The number 2 fits into 5 2 times, leaving a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 102.0
Subtracting 4 from 5 leaves us with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 2

Moving on to step 4:
2 can be fit into 10 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 1025.0
Subtract 10 from 10 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 2

Moving on to step 5:
If we divide 2 by 2, we get 1 and a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 10251.0
Deduct 2 from 2 and we're left with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 2

Step 6:
6 divided by 2 is 3 with a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 102513.0
Subtracting 6 from 6 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 7:
The number 2 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 102513.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
2 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 102513.0
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.

The final result is 102513.0 with a remainder of 0.0.