We're dividing 803 by 19 
We want to divide 803 by 19.

Advancing to step 1:
19 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 19

Going ahead to step 2:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 76 from 80 leaves us with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 19

Moving on to step 3:
43 divided by 19 is 2 with a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 42.0
If we subtract 38 from 43, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 4:
19 goes into 50 2 times with a remainder of 12.
The next digit of our result is 2. 
Result so far: 42.2
The remainder is 12 after subtracting 38 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 5:
19 goes into 120 6 times with a remainder of 6.
The next digit of our result is 6. 
Result so far: 42.26
Subtracting 114 from 120 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 6:
60 divided by 19 is 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 42.263
Subtracting 57 from 60 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.

Going ahead to step 7:
19 goes into 30 1 times with a remainder of 11.
The next digit of our result is 1. 
Result so far: 42.2631
Subtracting 19 from 30 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 8:
19 goes into 110 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 42.26315
Deduct 95 from 110 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.

On to step 9:
150 divided by 19 is 7 with a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 42.263157
Deduct 133 from 150 and we're left 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.

Let's proceed to step 10:
If we divide 170 by 19, we get 8 and a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 42.2631578
If we subtract 152 from 170, we 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 11:
When dividing 180 by 19, we get 9 with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 42.26315789
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.

The final outcome is 42.26315789, with a leftover of 9e-09.