338913 divided by 19 
Let's see how many times 19 fits into 338913.

Going ahead to step 1:
When dividing 3 by 19, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 19

Going ahead to step 2:
The number 19 fits into 33 1 times, leaving a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 19 away from 33, we end up with 14.
Include the next digit (8) from the dividend after 14, then repeat: 148 / 19

On to step 3:
If we divide 148 by 19, we get 7 and a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 17.0
If we take 133 away from 148, we end up with 15.
Grab the next digit (9) from the dividend, add it to 15, then carry on: 159 / 19

Let's proceed to step 4:
19 can be fit into 159 8 times, resulting in a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 178.0
If we subtract 152 from 159, we get 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 19

Going ahead to step 5:
19 can be fit into 71 3 times, resulting in a remainder of 14.
Write down 3 as next digit of the result. 
Result so far: 1783.0
If we take 57 away from 71, we end up with 14.
Fetch the next digit (3) from the dividend, attach it to 14 and continue: 143 / 19

Step 6:
19 can be fit into 143 7 times, resulting in a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 17837.0
Subtract 133 from 143 to get 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 7:
19 can be fit into 100 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 17837.5
The remainder is 5 after subtracting 95 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
19 can be fit into 50 2 times, resulting in a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 17837.52
The remainder is 12 after subtracting 38 from 50.
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 9:
120 divided by 19 is 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 17837.526
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.

Going ahead to step 10:
60 divided by 19 is 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 17837.5263
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.

Step 11:
19 can be fit into 30 1 times, resulting in a remainder of 11.
The next digit of our result is 1. 
Result so far: 17837.52631
Deduct 19 from 30 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 12:
If we divide 110 by 19, we get 5 and a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 17837.526315
Subtracting 95 from 110 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 13:
If we divide 150 by 19, we get 7 and a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 17837.5263157
If we subtract 133 from 150, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 14:
170 divided by 19 is 8 with a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 17837.52631578
Subtracting 152 from 170 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final outcome is 17837.52631578, with a leftover of 1.8e-08.