We're dividing 80378 by 19 
Let's see how many times 19 fits into 80378.

On to step 1:
The number 19 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 19

Moving on to step 2:
19 goes into 80 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 76 from 80, we get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 19

Let's proceed to step 3:
If we divide 43 by 19, we get 2 and a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 42.0
Subtracting 38 from 43 leaves us with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 19

On to step 4:
The number 19 fits into 57 3 times, leaving a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 423.0
Subtracting 57 from 57 leaves us with 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 19

Going ahead to step 5:
19 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 4230.0
If we subtract 0 from 8, we get 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 6:
80 divided by 19 is 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 4230.4
Subtracting 76 from 80 leaves us 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.

Going ahead to step 7:
19 can be fit into 40 2 times, resulting in a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 4230.42
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 8:
When dividing 20 by 19, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 4230.421
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.

Moving on to step 9:
The number 19 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 4230.421
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.

Moving on to step 10:
When dividing 100 by 19, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 4230.42105
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.

Step 11:
When dividing 50 by 19, we get 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 4230.421052
If we subtract 38 from 50, we 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.

Advancing to step 12:
When dividing 120 by 19, we get 6 with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 4230.4210526
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.

Going ahead to step 13:
If we divide 60 by 19, we get 3 and a remainder of 3.
The next digit of our result is 3. 
Result so far: 4230.42105263
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.

The final result is 4230.42105263 with a remainder of 3e-09.