We look at the division of 517173 by 41 
Our goal is to divide 517173 by 41.

Advancing to step 1:
The number 41 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 41

Moving on to step 2:
When dividing 51 by 41, we get 1 with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 41 from 51 to get 10.
Take the next digit (7) from the dividend and append it to 10, then repeat: 107 / 41

Moving on to step 3:
41 can be fit into 107 2 times, resulting in a remainder of 25.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we take 82 away from 107, we end up with 25.
Bring next digit (1) of the dividend behind the 25 and repeat the process: 251 / 41

Moving on to step 4:
41 can be fit into 251 6 times, resulting in a remainder of 5.
The next digit of our result is 6. 
Result so far: 126.0
If we take 246 away from 251, we end up with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 41

Let's proceed to step 5:
41 goes into 57 1 times with a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 1261.0
Subtract 41 from 57 to get 16.
Grab the next digit (3) from the dividend, add it to 16, then carry on: 163 / 41

Advancing to step 6:
41 can be fit into 163 3 times, resulting in a remainder of 40.
Record the quotient 3 as the next digit in the result. 
Result so far: 12613.0
Deduct 123 from 163 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 7:
The number 41 fits into 400 9 times, leaving a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 12613.9
Subtract 369 from 400 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 8:
When dividing 310 by 41, we get 7 with a remainder of 23.
The next digit of our result is 7. 
Result so far: 12613.97
If we subtract 287 from 310, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 9:
41 can be fit into 230 5 times, resulting in a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 12613.975
Deduct 205 from 230 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
When dividing 250 by 41, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 12613.9756
If we subtract 246 from 250, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
41 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 12613.9756
Subtract 0 from 40 to 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.

Moving on to step 12:
41 can be fit into 400 9 times, resulting in a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 12613.975609
If we take 369 away from 400, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 13:
41 can be fit into 310 7 times, resulting in a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 12613.9756097
Deduct 287 from 310 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 14:
41 goes into 230 5 times with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 12613.97560975
Deduct 205 from 230 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final outcome is 12613.97560975, with a leftover of 2.5e-08.