419319 divided by 19 
Our goal is to divide 419319 by 19.

Going ahead to step 1:
The number 19 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 19

On to step 2:
19 goes into 41 2 times with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 38 from 41 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 19

Moving on to step 3:
19 can be fit into 39 2 times, resulting in a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 22.0
Deduct 38 from 39 and we're left with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 19

Moving on to step 4:
13 divided by 19 is 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 220.0
If we take 0 away from 13, we end up with 13.
Fetch the next digit (1) from the dividend, attach it to 13 and continue: 131 / 19

Moving on to step 5:
131 divided by 19 is 6 with a remainder of 17.
Record the quotient 6 as the next digit in the result. 
Result so far: 2206.0
If we subtract 114 from 131, we get 17.
Grab the next digit (9) from the dividend, add it to 17, then carry on: 179 / 19

Step 6:
19 can be fit into 179 9 times, resulting in a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 22069.0
Deduct 171 from 179 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.

Going ahead to step 7:
If we divide 80 by 19, we get 4 and a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 22069.4
The remainder is 4 after subtracting 76 from 80.
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:
If we divide 40 by 19, we get 2 and a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 22069.42
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.

Moving on to step 9:
The number 19 fits into 20 1 times, leaving a remainder of 1.
The next digit of our result is 1. 
Result so far: 22069.421
The remainder is 1 after subtracting 19 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 10:
When dividing 10 by 19, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 22069.421
Deduct 0 from 10 and we're left 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.

On to step 11:
When dividing 100 by 19, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 22069.42105
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.

Step 12:
If we divide 50 by 19, we get 2 and a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 22069.421052
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.

On to step 13:
19 can be fit into 120 6 times, resulting in a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 22069.4210526
Subtract 114 from 120 to 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.

Step 14:
19 goes into 60 3 times with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 22069.42105263
If we subtract 57 from 60, we get 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 22069.42105263, with a leftover of 3e-09.