We look at the division of 86171 by 71 
Our goal is to divide 86171 by 71.

Advancing to step 1:
71 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 71

Step 2:
When dividing 86 by 71, we get 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 71 from 86, we get 15.
Include the next digit (1) from the dividend after 15, then repeat: 151 / 71

Moving on to step 3:
The number 71 fits into 151 2 times, leaving a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we subtract 142 from 151, we get 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 71

Moving on to step 4:
97 divided by 71 is 1 with a remainder of 26.
Put 1 as the next digit of the answer. 
Result so far: 121.0
If we subtract 71 from 97, we get 26.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 71

Let's proceed to step 5:
If we divide 261 by 71, we get 3 and a remainder of 48.
Use 3 as the next digit of our solution. 
Result so far: 1213.0
If we take 213 away from 261, 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.

Step 6:
71 can be fit into 480 6 times, resulting in a remainder of 54.
Put 6 as the next digit of the answer. 
Result so far: 1213.6
Subtracting 426 from 480 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 7:
The number 71 fits into 540 7 times, leaving a remainder of 43.
Use 7 as the next digit of our solution. 
Result so far: 1213.67
Deduct 497 from 540 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 8:
The number 71 fits into 430 6 times, leaving a remainder of 4.
The next digit of our result is 6. 
Result so far: 1213.676
Subtracting 426 from 430 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
71 goes into 40 0 times with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 1213.676
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 10:
71 goes into 400 5 times with a remainder of 45.
The next digit of our result is 5. 
Result so far: 1213.67605
Subtracting 355 from 400 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 11:
450 divided by 71 is 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 1213.676056
If we subtract 426 from 450, we get 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 12:
The number 71 fits into 240 3 times, leaving a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 1213.6760563
Subtracting 213 from 240 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 13:
If we divide 270 by 71, we get 3 and a remainder of 57.
Write down 3 as next digit of the result. 
Result so far: 1213.67605633
If we take 213 away from 270, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The final result is 1213.67605633 with a remainder of 5.7e-08.