We're dividing 274171 by 96 
We're looking to find how many times 96 goes into 274171.

Advancing to step 1:
When dividing 2 by 96, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 96

Moving on to step 2:
27 divided by 96 is 0 with a remainder of 27.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 27 to get 27.
Grab the next digit (4) from the dividend, add it to 27, then carry on: 274 / 96

Going ahead to step 3:
When dividing 274 by 96, we get 2 with a remainder of 82.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 82 after subtracting 192 from 274.
Bring next digit (1) of the dividend behind the 82 and repeat the process: 821 / 96

Step 4:
The number 96 fits into 821 8 times, leaving a remainder of 53.
Write down 8 as next digit of the result. 
Result so far: 28.0
Subtract 768 from 821 to get 53.
Take the next digit (7) from the dividend and append it to 53, then repeat: 537 / 96

Let's proceed to step 5:
96 goes into 537 5 times with a remainder of 57.
The next digit of our result is 5. 
Result so far: 285.0
The remainder is 57 after subtracting 480 from 537.
Take the next digit (1) from the dividend and append it to 57, then repeat: 571 / 96

Step 6:
When dividing 571 by 96, we get 5 with a remainder of 91.
The next digit of our result is 5. 
Result so far: 2855.0
Subtracting 480 from 571 leaves us with 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Advancing to step 7:
96 goes into 910 9 times with a remainder of 46.
Record the quotient 9 as the next digit in the result. 
Result so far: 2855.9
Deduct 864 from 910 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 8:
460 divided by 96 is 4 with a remainder of 76.
Record the quotient 4 as the next digit in the result. 
Result so far: 2855.94
Deduct 384 from 460 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 9:
96 goes into 760 7 times with a remainder of 88.
The number 7 becomes the next digit in our result. 
Result so far: 2855.947
Subtract 672 from 760 to get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Step 10:
If we divide 880 by 96, we get 9 and a remainder of 16.
Record the quotient 9 as the next digit in the result. 
Result so far: 2855.9479
Subtracting 864 from 880 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 11:
If we divide 160 by 96, we get 1 and a remainder of 64.
Put 1 as the next digit of the answer. 
Result so far: 2855.94791
If we take 96 away from 160, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 12:
96 goes into 640 6 times with a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 2855.947916
Deduct 576 from 640 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 13:
When dividing 640 by 96, we get 6 with a remainder of 64.
The number 6 becomes the next digit in our result. 
Result so far: 2855.9479166
Subtract 576 from 640 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 2855.9479166 with a balance of 6.4e-07.