380603 ÷ 19 
We want to figure out the number of times 380603 can be divided by 19.

Step 1:
The number 19 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 19

Going ahead to step 2:
The number 19 fits into 38 2 times, leaving a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 0 after subtracting 38 from 38.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 19

Moving on to step 3:
The number 19 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
Deduct 0 from 0 and we're left with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 19

Going ahead to step 4:
The number 19 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 200.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 19

Moving on to step 5:
When dividing 60 by 19, we get 3 with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 2003.0
Subtracting 57 from 60 leaves us with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 19

On to step 6:
The number 19 fits into 33 1 times, leaving a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 20031.0
Deduct 19 from 33 and we're left 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.

Going ahead to step 7:
19 goes into 140 7 times with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 20031.7
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 8:
The number 19 fits into 70 3 times, leaving a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 20031.73
The remainder is 13 after subtracting 57 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 9:
If we divide 130 by 19, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 20031.736
The remainder is 16 after subtracting 114 from 130.
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 10:
19 can be fit into 160 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 20031.7368
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 11:
19 goes into 80 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 20031.73684
If we subtract 76 from 80, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 12:
The number 19 fits into 40 2 times, leaving a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 20031.736842
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.

Let's proceed to step 13:
When dividing 20 by 19, we get 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 20031.7368421
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 14:
The number 19 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 20031.7368421
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.

After the division, we end up with 20031.7368421 and a remainder of 1e-08.