We look at the division of 813819 by 38 
We want to divide 813819 by 38.

Advancing to step 1:
38 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 38

On to step 2:
38 can be fit into 81 2 times, resulting in a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 76 from 81 leaves us with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 38

Let's proceed to step 3:
If we divide 53 by 38, we get 1 and a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 21.0
Subtracting 38 from 53 leaves us with 15.
Grab the next digit (8) from the dividend, add it to 15, then carry on: 158 / 38

Advancing to step 4:
The number 38 fits into 158 4 times, leaving a remainder of 6.
The next digit of our result is 4. 
Result so far: 214.0
Deduct 152 from 158 and we're left with 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 38

Step 5:
38 goes into 61 1 times with a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 2141.0
Subtract 38 from 61 to get 23.
Grab the next digit (9) from the dividend, add it to 23, then carry on: 239 / 38

On to step 6:
The number 38 fits into 239 6 times, leaving a remainder of 11.
Write down 6 as next digit of the result. 
Result so far: 21416.0
The remainder is 11 after subtracting 228 from 239.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
The number 38 fits into 110 2 times, leaving a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 21416.2
Deduct 76 from 110 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 8:
340 divided by 38 is 8 with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 21416.28
Deduct 304 from 340 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
38 goes into 360 9 times with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 21416.289
Subtract 342 from 360 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 10:
38 can be fit into 180 4 times, resulting in a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 21416.2894
If we take 152 away from 180, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 11:
If we divide 280 by 38, we get 7 and a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 21416.28947
Deduct 266 from 280 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 12:
140 divided by 38 is 3 with a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 21416.289473
Subtracting 114 from 140 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 13:
38 can be fit into 260 6 times, resulting in a remainder of 32.
The next digit of our result is 6. 
Result so far: 21416.2894736
Deduct 228 from 260 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 14:
The number 38 fits into 320 8 times, leaving a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 21416.28947368
Subtract 304 from 320 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final outcome is 21416.28947368, with a leftover of 1.6e-08.