We're dividing 171171 by 41 
Let's see how many times 41 fits into 171171.

On to step 1:
41 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 41

Moving on to step 2:
41 can be fit into 17 0 times, resulting in a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Bring next digit (1) of the dividend behind the 17 and repeat the process: 171 / 41

Let's proceed to step 3:
41 can be fit into 171 4 times, resulting in a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 164 from 171 leaves us with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 41

On to step 4:
If we divide 71 by 41, we get 1 and a remainder of 30.
The next digit of our result is 1. 
Result so far: 41.0
Subtracting 41 from 71 leaves us with 30.
Fetch the next digit (7) from the dividend, attach it to 30 and continue: 307 / 41

Moving on to step 5:
The number 41 fits into 307 7 times, leaving a remainder of 20.
Put 7 as the next digit of the answer. 
Result so far: 417.0
If we subtract 287 from 307, we get 20.
Take the next digit (1) from the dividend and append it to 20, then repeat: 201 / 41

Going ahead to step 6:
201 divided by 41 is 4 with a remainder of 37.
The next digit of our result is 4. 
Result so far: 4174.0
Subtract 164 from 201 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 7:
When dividing 370 by 41, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 4174.9
The remainder is 1 after subtracting 369 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
41 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 4174.9
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
The number 41 fits into 100 2 times, leaving a remainder of 18.
The next digit of our result is 2. 
Result so far: 4174.902
If we take 82 away from 100, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 10:
41 can be fit into 180 4 times, resulting in a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 4174.9024
If we take 164 away from 180, we end up 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.

On to step 11:
When dividing 160 by 41, we get 3 with a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 4174.90243
If we subtract 123 from 160, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 12:
The number 41 fits into 370 9 times, leaving a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 4174.902439
Deduct 369 from 370 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 13:
10 divided by 41 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 4174.902439
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 14:
100 divided by 41 is 2 with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 4174.90243902
Subtract 82 from 100 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 4174.90243902 with a balance of 1.8e-08.