We look at the division of 603814 by 19 
We want to figure out the number of times 603814 can be divided by 19.

Moving on to step 1:
When dividing 6 by 19, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 19

Advancing to step 2:
19 can be fit into 60 3 times, resulting in a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 57 from 60 and we're left with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 19

Let's proceed to step 3:
19 can be fit into 33 1 times, resulting in a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
Deduct 19 from 33 and we're left with 14.
Include the next digit (8) from the dividend after 14, then repeat: 148 / 19

Advancing to step 4:
If we divide 148 by 19, we get 7 and a remainder of 15.
The next digit of our result is 7. 
Result so far: 317.0
Subtract 133 from 148 to get 15.
Fetch the next digit (1) from the dividend, attach it to 15 and continue: 151 / 19

On to step 5:
19 goes into 151 7 times with a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 3177.0
Deduct 133 from 151 and we're left with 18.
Grab the next digit (4) from the dividend, add it to 18, then carry on: 184 / 19

Step 6:
19 goes into 184 9 times with a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 31779.0
Deduct 171 from 184 and we're left 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.

Step 7:
130 divided by 19 is 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 31779.6
If we take 114 away from 130, 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.

Moving on to step 8:
160 divided by 19 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 31779.68
If we take 152 away from 160, we end up 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.

Going ahead to step 9:
80 divided by 19 is 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 31779.684
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.

Advancing to step 10:
40 divided by 19 is 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 31779.6842
Subtracting 38 from 40 leaves us 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.

Going ahead to step 11:
20 divided by 19 is 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 31779.68421
Subtract 19 from 20 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.

Going ahead to step 12:
The number 19 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 31779.68421
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 13:
19 can be fit into 100 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 31779.6842105
Subtract 95 from 100 to 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.

Advancing to step 14:
19 can be fit into 50 2 times, resulting in a remainder of 12.
The next digit of our result is 2. 
Result so far: 31779.68421052
Subtract 38 from 50 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 31779.68421052, and the remainder is 1.2e-08.