We're dividing 271101 by 84 
We want to figure out the number of times 271101 can be divided by 84.

Moving on to step 1:
When dividing 2 by 84, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 84

Advancing to step 2:
27 divided by 84 is 0 with a remainder of 27.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 27 to get 27.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 84

Moving on to step 3:
The number 84 fits into 271 3 times, leaving a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 252 from 271, we get 19.
Bring next digit (1) of the dividend behind the 19 and repeat the process: 191 / 84

Advancing to step 4:
191 divided by 84 is 2 with a remainder of 23.
Record the quotient 2 as the next digit in the result. 
Result so far: 32.0
If we subtract 168 from 191, we get 23.
Grab the next digit (0) from the dividend, add it to 23, then carry on: 230 / 84

Advancing to step 5:
The number 84 fits into 230 2 times, leaving a remainder of 62.
Write down 2 as next digit of the result. 
Result so far: 322.0
Subtract 168 from 230 to get 62.
Bring next digit (1) of the dividend behind the 62 and repeat the process: 621 / 84

Going ahead to step 6:
84 goes into 621 7 times with a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 3227.0
Subtracting 588 from 621 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
If we divide 330 by 84, we get 3 and a remainder of 78.
The next digit of our result is 3. 
Result so far: 3227.3
Deduct 252 from 330 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 8:
The number 84 fits into 780 9 times, leaving a remainder of 24.
Write down 9 as next digit of the result. 
Result so far: 3227.39
Subtracting 756 from 780 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 9:
When dividing 240 by 84, we get 2 with a remainder of 72.
The next digit of our result is 2. 
Result so far: 3227.392
If we subtract 168 from 240, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 10:
When dividing 720 by 84, we get 8 with a remainder of 48.
Record the quotient 8 as the next digit in the result. 
Result so far: 3227.3928
If we take 672 away from 720, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 11:
84 can be fit into 480 5 times, resulting in a remainder of 60.
Record the quotient 5 as the next digit in the result. 
Result so far: 3227.39285
Subtracting 420 from 480 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 12:
If we divide 600 by 84, we get 7 and a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 3227.392857
If we subtract 588 from 600, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 13:
84 can be fit into 120 1 times, resulting in a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 3227.3928571
The remainder is 36 after subtracting 84 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 14:
84 can be fit into 360 4 times, resulting in a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 3227.39285714
Deduct 336 from 360 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 3227.39285714 with a balance of 2.4e-08.