We look at the division of 171331 by 71 
Let's see how many times 71 fits into 171331.

Step 1:
When dividing 1 by 71, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 71

Advancing to step 2:
If we divide 17 by 71, we get 0 and a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Append the next digit (1) from the dividend to 17 and continue with: 171 / 71

Going ahead to step 3:
The number 71 fits into 171 2 times, leaving a remainder of 29.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 142 from 171 and we're left with 29.
Bring next digit (3) of the dividend behind the 29 and repeat the process: 293 / 71

Moving on to step 4:
293 divided by 71 is 4 with a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 24.0
The remainder is 9 after subtracting 284 from 293.
Bring next digit (3) of the dividend behind the 9 and repeat the process: 93 / 71

On to step 5:
71 goes into 93 1 times with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 241.0
If we subtract 71 from 93, we get 22.
Bring next digit (1) of the dividend behind the 22 and repeat the process: 221 / 71

On to step 6:
The number 71 fits into 221 3 times, leaving a remainder of 8.
The next digit of our result is 3. 
Result so far: 2413.0
If we take 213 away from 221, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
71 can be fit into 80 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 2413.1
Subtracting 71 from 80 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 8:
90 divided by 71 is 1 with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 2413.11
Subtract 71 from 90 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The quotient of the division is 2413.11, and the remainder is 0.019.