We're dividing 517900 by 41 
We want to figure out the number of times 517900 can be divided by 41.

Step 1:
41 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 41

Step 2:
If we divide 51 by 41, we get 1 and a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 41 from 51, we get 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 41

Step 3:
When dividing 107 by 41, we get 2 with a remainder of 25.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtract 82 from 107 to get 25.
Bring next digit (9) of the dividend behind the 25 and repeat the process: 259 / 41

Let's proceed to step 4:
259 divided by 41 is 6 with a remainder of 13.
Put 6 as the next digit of the answer. 
Result so far: 126.0
Deduct 246 from 259 and we're left with 13.
Include the next digit (0) from the dividend after 13, then repeat: 130 / 41

Advancing to step 5:
41 can be fit into 130 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 1263.0
If we subtract 123 from 130, we get 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 41

Step 6:
41 goes into 70 1 times with a remainder of 29.
The next digit of our result is 1. 
Result so far: 12631.0
The remainder is 29 after subtracting 41 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 7:
The number 41 fits into 290 7 times, leaving a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 12631.7
Subtract 287 from 290 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
41 goes into 30 0 times with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 12631.7
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 9:
300 divided by 41 is 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 12631.707
Subtract 287 from 300 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 10:
130 divided by 41 is 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 12631.7073
If we take 123 away from 130, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 11:
41 can be fit into 70 1 times, resulting in a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 12631.70731
If we take 41 away from 70, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 12:
When dividing 290 by 41, we get 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 12631.707317
Subtracting 287 from 290 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 13:
41 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 12631.707317
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 14:
The number 41 fits into 300 7 times, leaving a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 12631.70731707
Subtracting 287 from 300 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 12631.70731707, and the remainder is 1.3e-08.