338826 ÷ 19 
Let's see how many times 19 fits into 338826.

Advancing to step 1:
3 divided by 19 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 19

On to step 2:
The number 19 fits into 33 1 times, leaving a remainder of 14.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 19 from 33 to get 14.
Bring next digit (8) of the dividend behind the 14 and repeat the process: 148 / 19

Moving on to step 3:
19 can be fit into 148 7 times, resulting in a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Deduct 133 from 148 and we're left with 15.
Include the next digit (8) from the dividend after 15, then repeat: 158 / 19

Moving on to step 4:
The number 19 fits into 158 8 times, leaving a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 178.0
Subtract 152 from 158 to get 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 19

On to step 5:
19 goes into 62 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 1783.0
Deduct 57 from 62 and we're left with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 19

Advancing to step 6:
19 goes into 56 2 times with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 17832.0
Subtracting 38 from 56 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.

Step 7:
When dividing 180 by 19, we get 9 with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 17832.9
If we subtract 171 from 180, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 8:
90 divided by 19 is 4 with a remainder of 14.
The next digit of our result is 4. 
Result so far: 17832.94
The remainder is 14 after subtracting 76 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 9:
19 can be fit into 140 7 times, resulting in a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 17832.947
Deduct 133 from 140 and we're left with 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 10:
19 can be fit into 70 3 times, resulting in a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 17832.9473
If we take 57 away from 70, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 11:
When dividing 130 by 19, we get 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 17832.94736
If we take 114 away from 130, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 12:
160 divided by 19 is 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 17832.947368
Subtract 152 from 160 to 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.

Moving on to step 13:
The number 19 fits into 80 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 17832.9473684
Deduct 76 from 80 and we're left 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.

Moving on to step 14:
The number 19 fits into 40 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 17832.94736842
If we subtract 38 from 40, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 17832.94736842 with a remainder of 2e-09.