We look at the division of 271177 by 74 
We're looking to find how many times 74 goes into 271177.

Let's proceed to step 1:
74 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 74

Advancing to step 2:
The number 74 fits into 27 0 times, leaving a remainder of 27.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 27 leaves us with 27.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 74

Going ahead to step 3:
74 goes into 271 3 times with a remainder of 49.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 222 away from 271, we end up with 49.
Include the next digit (1) from the dividend after 49, then repeat: 491 / 74

Moving on to step 4:
74 goes into 491 6 times with a remainder of 47.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
Deduct 444 from 491 and we're left with 47.
Include the next digit (7) from the dividend after 47, then repeat: 477 / 74

Let's proceed to step 5:
477 divided by 74 is 6 with a remainder of 33.
Put 6 as the next digit of the answer. 
Result so far: 366.0
Subtracting 444 from 477 leaves us with 33.
Include the next digit (7) from the dividend after 33, then repeat: 337 / 74

Let's proceed to step 6:
When dividing 337 by 74, we get 4 with a remainder of 41.
Put 4 as the next digit of the answer. 
Result so far: 3664.0
If we subtract 296 from 337, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 7:
74 goes into 410 5 times with a remainder of 40.
The next digit of our result is 5. 
Result so far: 3664.5
Subtracting 370 from 410 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
74 can be fit into 400 5 times, resulting in a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 3664.55
Deduct 370 from 400 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 3664.55 with a remainder of 0.03.