205837 ÷ 2 
Let's see how many times 2 fits into 205837.

Step 1:
The number 2 fits into 2 1 times, leaving a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 2 from 2 leaves us with 0.
Take the next digit (0) from the dividend and append it to 0, then repeat: 0 / 2

On to step 2:
If we divide 0 by 2, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Deduct 0 from 0 and we're left with 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 2

Going ahead to step 3:
If we divide 5 by 2, we get 2 and a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 102.0
If we subtract 4 from 5, we get 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 2

Moving on to step 4:
2 can be fit into 18 9 times, resulting in a remainder of 0.
The next digit of our result is 9. 
Result so far: 1029.0
Subtract 18 from 18 to get 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 2

Step 5:
3 divided by 2 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 10291.0
The remainder is 1 after subtracting 2 from 3.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 2

Going ahead to step 6:
When dividing 17 by 2, we get 8 with a remainder of 1.
The next digit of our result is 8. 
Result so far: 102918.0
Subtracting 16 from 17 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
2 goes into 10 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 102918.5
Deduct 10 from 10 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.

Let's proceed to step 8:
When dividing 0 by 2, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 102918.5
If we take 0 away from 0, we end up 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.

Let's proceed to step 9:
2 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 102918.5
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.

The final outcome is 102918.5, with a leftover of 0.0.