We're dividing 505741 by 2 
Our goal is to divide 505741 by 2.

On to step 1:
2 goes into 5 2 times with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 4 from 5, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 2

Moving on to step 2:
The number 2 fits into 10 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 25.0
Deduct 10 from 10 and we're left with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 2

Advancing to step 3:
When dividing 5 by 2, we get 2 with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 252.0
The remainder is 1 after subtracting 4 from 5.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 2

On to step 4:
17 divided by 2 is 8 with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 2528.0
If we take 16 away from 17, we end up with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 2

Let's proceed to step 5:
When dividing 14 by 2, we get 7 with a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 25287.0
If we subtract 14 from 14, we get 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 2

Let's proceed to step 6:
2 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 252870.0
Deduct 0 from 1 and we're left 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.

Going ahead to step 7:
10 divided by 2 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 252870.5
If we subtract 10 from 10, 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.

On to step 8:
2 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 252870.5
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.

Moving on to step 9:
0 divided by 2 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 252870.5
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 252870.5, with a leftover of 0.0.