We look at the division of 508319 by 41 
Our goal is to divide 508319 by 41.

On to step 1:
5 divided by 41 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 41

Going ahead to step 2:
When dividing 50 by 41, we get 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 41 from 50 leaves us with 9.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 41

Going ahead to step 3:
When dividing 98 by 41, we get 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtracting 82 from 98 leaves us with 16.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 41

Advancing to step 4:
The number 41 fits into 163 3 times, leaving a remainder of 40.
Write down 3 as next digit of the result. 
Result so far: 123.0
Deduct 123 from 163 and we're left with 40.
Append the next digit (1) from the dividend to 40 and continue with: 401 / 41

Let's proceed to step 5:
When dividing 401 by 41, we get 9 with a remainder of 32.
Write down 9 as next digit of the result. 
Result so far: 1239.0
Subtract 369 from 401 to get 32.
Append the next digit (9) from the dividend to 32 and continue with: 329 / 41

Going ahead to step 6:
329 divided by 41 is 8 with a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 12398.0
If we take 328 away from 329, we end up 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.

Advancing to step 7:
10 divided by 41 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 12398.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
The number 41 fits into 100 2 times, leaving a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 12398.02
Deduct 82 from 100 and we're left 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.

Advancing to step 9:
When dividing 180 by 41, we get 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 12398.024
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.

Step 10:
160 divided by 41 is 3 with a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 12398.0243
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.

Moving on to step 11:
If we divide 370 by 41, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 12398.02439
Subtract 369 from 370 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
The number 41 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 12398.02439
If we take 0 away from 10, we end up with 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 13:
The number 41 fits into 100 2 times, leaving a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 12398.0243902
Deduct 82 from 100 and we're left 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.

Going ahead to step 14:
If we divide 180 by 41, we get 4 and a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 12398.02439024
Deduct 164 from 180 and we're left 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.

The final outcome is 12398.02439024, with a leftover of 1.6e-08.