We look at the division of 174271 by 2 
We want to figure out the number of times 174271 can be divided by 2.

Advancing to step 1:
2 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 2

Let's proceed to step 2:
2 goes into 17 8 times with a remainder of 1.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 16 from 17 leaves us with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 2

Advancing to step 3:
2 goes into 14 7 times with a remainder of 0.
The next digit of our result is 7. 
Result so far: 87.0
Subtracting 14 from 14 leaves us with 0.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 2

Moving on to step 4:
2 goes into 2 1 times with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 871.0
If we subtract 2 from 2, we get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 2

Going ahead to step 5:
2 goes into 7 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 8713.0
Subtract 6 from 7 to get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 2

Moving on to step 6:
If we divide 11 by 2, we get 5 and a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 87135.0
If we subtract 10 from 11, we get 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:
When dividing 10 by 2, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 87135.5
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.

Going ahead to step 8:
2 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 87135.5
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.

Step 9:
If we divide 0 by 2, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 87135.5
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 87135.5, with a leftover of 0.0.