We look at the division of 508113 by 19 
Let's see how many times 19 fits into 508113.

Advancing to step 1:
19 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 19

Let's proceed to step 2:
If we divide 50 by 19, we get 2 and a remainder of 12.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 38 from 50 to get 12.
Fetch the next digit (8) from the dividend, attach it to 12 and continue: 128 / 19

Step 3:
When dividing 128 by 19, we get 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
Deduct 114 from 128 and we're left with 14.
Take the next digit (1) from the dividend and append it to 14, then repeat: 141 / 19

Advancing to step 4:
19 goes into 141 7 times with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 267.0
Subtract 133 from 141 to get 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 19

Moving on to step 5:
81 divided by 19 is 4 with a remainder of 5.
The next digit of our result is 4. 
Result so far: 2674.0
If we subtract 76 from 81, we get 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 19

Moving on to step 6:
The number 19 fits into 53 2 times, leaving a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 26742.0
Deduct 38 from 53 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
19 can be fit into 150 7 times, resulting in a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 26742.7
Subtracting 133 from 150 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 8:
19 goes into 170 8 times with a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 26742.78
Subtract 152 from 170 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.

Going ahead to step 9:
19 goes into 180 9 times with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 26742.789
The remainder is 9 after subtracting 171 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 10:
When dividing 90 by 19, we get 4 with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 26742.7894
Subtracting 76 from 90 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 11:
When dividing 140 by 19, we get 7 with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 26742.78947
If we subtract 133 from 140, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 12:
When dividing 70 by 19, we get 3 with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 26742.789473
If we subtract 57 from 70, we 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.

Let's proceed to step 13:
If we divide 130 by 19, we get 6 and a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 26742.7894736
Subtract 114 from 130 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 14:
If we divide 160 by 19, we get 8 and a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 26742.78947368
Deduct 152 from 160 and we're left 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.

In conclusion, the division gives 26742.78947368 with a balance of 8e-09.