We're dividing 181411 by 871 
We're looking to find how many times 871 goes into 181411.

Step 1:
1 divided by 871 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 871

Advancing to step 2:
18 divided by 871 is 0 with a remainder of 18.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 18 leaves us with 18.
Take the next digit (1) from the dividend and append it to 18, then repeat: 181 / 871

Going ahead to step 3:
If we divide 181 by 871, we get 0 and a remainder of 181.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 181 and we're left with 181.
Bring next digit (4) of the dividend behind the 181 and repeat the process: 1814 / 871

Going ahead to step 4:
871 can be fit into 1814 2 times, resulting in a remainder of 72.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 1742 away from 1814, we end up with 72.
Take the next digit (1) from the dividend and append it to 72, then repeat: 721 / 871

Moving on to step 5:
When dividing 721 by 871, we get 0 with a remainder of 721.
The next digit of our result is 0. 
Result so far: 20.0
If we subtract 0 from 721, we get 721.
Fetch the next digit (1) from the dividend, attach it to 721 and continue: 7211 / 871

Step 6:
871 goes into 7211 8 times with a remainder of 243.
Use 8 as the next digit of our solution. 
Result so far: 208.0
The remainder is 243 after subtracting 6968 from 7211.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2430, and continue the process.

Step 7:
When dividing 2430 by 871, we get 2 with a remainder of 688.
Write down 2 as next digit of the result. 
Result so far: 208.2
The remainder is 688 after subtracting 1742 from 2430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6880, and continue the process.

Moving on to step 8:
If we divide 6880 by 871, we get 7 and a remainder of 783.
The number 7 becomes the next digit in our result. 
Result so far: 208.27
If we subtract 6097 from 6880, we get 783.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7830, and continue the process.

Advancing to step 9:
7830 divided by 871 is 8 with a remainder of 862.
Use 8 as the next digit of our solution. 
Result so far: 208.278
If we subtract 6968 from 7830, we get 862.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8620, and continue the process.

Advancing to step 10:
The number 871 fits into 8620 9 times, leaving a remainder of 781.
The number 9 becomes the next digit in our result. 
Result so far: 208.2789
The remainder is 781 after subtracting 7839 from 8620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7810, and continue the process.

On to step 11:
When dividing 7810 by 871, we get 8 with a remainder of 842.
The number 8 becomes the next digit in our result. 
Result so far: 208.27898
If we take 6968 away from 7810, we end up with 842.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8420, and continue the process.

On to step 12:
871 goes into 8420 9 times with a remainder of 581.
Use 9 as the next digit of our solution. 
Result so far: 208.278989
If we subtract 7839 from 8420, we get 581.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5810, and continue the process.

Let's proceed to step 13:
871 can be fit into 5810 6 times, resulting in a remainder of 584.
Record the quotient 6 as the next digit in the result. 
Result so far: 208.2789896
Subtracting 5226 from 5810 leaves us with 584.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5840, and continue the process.

Going ahead to step 14:
When dividing 5840 by 871, we get 6 with a remainder of 614.
Record the quotient 6 as the next digit in the result. 
Result so far: 208.27898966
Deduct 5226 from 5840 and we're left with 614.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6140, and continue the process.

The quotient of the division is 208.27898966, and the remainder is 6.14e-07.