We look at the division of 303001 by 19 
We want to divide 303001 by 19.

Moving on to step 1:
3 divided by 19 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 19

Let's proceed to step 2:
19 can be fit into 30 1 times, resulting in a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 11 after subtracting 19 from 30.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 19

Let's proceed to step 3:
When dividing 113 by 19, we get 5 with a remainder of 18.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we take 95 away from 113, we end up with 18.
Append the next digit (0) from the dividend to 18 and continue with: 180 / 19

Moving on to step 4:
The number 19 fits into 180 9 times, leaving a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 159.0
Deduct 171 from 180 and we're left with 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 19

Advancing to step 5:
The number 19 fits into 90 4 times, leaving a remainder of 14.
The next digit of our result is 4. 
Result so far: 1594.0
The remainder is 14 after subtracting 76 from 90.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 19

Advancing to step 6:
141 divided by 19 is 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 15947.0
Deduct 133 from 141 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.

Step 7:
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: 15947.4
Deduct 76 from 80 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
When dividing 40 by 19, we get 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 15947.42
If we take 38 away from 40, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
20 divided by 19 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 15947.421
Subtracting 19 from 20 leaves us 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 10:
If we divide 10 by 19, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 15947.421
Subtracting 0 from 10 leaves us 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 11:
19 goes into 100 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 15947.42105
Subtracting 95 from 100 leaves us with 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 12:
50 divided by 19 is 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 15947.421052
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.

Moving on to step 13:
If we divide 120 by 19, we get 6 and a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 15947.4210526
If we subtract 114 from 120, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 14:
If we divide 60 by 19, we get 3 and a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 15947.42105263
Deduct 57 from 60 and we're left 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.

After the division, we end up with 15947.42105263 and a remainder of 3e-09.