We're dividing 478390 by 19 
Our goal is to divide 478390 by 19.

Advancing to step 1:
4 divided by 19 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 19

Let's proceed to step 2:
19 can be fit into 47 2 times, resulting in a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 38 away from 47, we end up with 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 19

Let's proceed to step 3:
The number 19 fits into 98 5 times, leaving a remainder of 3.
The next digit of our result is 5. 
Result so far: 25.0
Subtracting 95 from 98 leaves us with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 19

On to step 4:
19 goes into 33 1 times with a remainder of 14.
The next digit of our result is 1. 
Result so far: 251.0
Subtracting 19 from 33 leaves us with 14.
Take the next digit (9) from the dividend and append it to 14, then repeat: 149 / 19

Going ahead to step 5:
19 can be fit into 149 7 times, resulting in a remainder of 16.
Put 7 as the next digit of the answer. 
Result so far: 2517.0
Deduct 133 from 149 and we're left with 16.
Fetch the next digit (0) from the dividend, attach it to 16 and continue: 160 / 19

Step 6:
19 goes into 160 8 times with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 25178.0
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.

Advancing to step 7:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 25178.4
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.

On to step 8:
19 can be fit into 40 2 times, resulting in a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 25178.42
Deduct 38 from 40 and we're left 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:
19 goes into 20 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 25178.421
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 10:
19 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 25178.421
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.

Advancing to step 11:
100 divided by 19 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 25178.42105
If we take 95 away from 100, we end up 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:
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: 25178.421052
If we take 38 away from 50, we end up with 12.
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:
120 divided by 19 is 6 with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 25178.4210526
Deduct 114 from 120 and we're left 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.

Let's proceed to step 14:
The number 19 fits into 60 3 times, leaving a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 25178.42105263
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.

The final outcome is 25178.42105263, with a leftover of 3e-09.