We look at the division of 817338 by 13 
Let's see how many times 13 fits into 817338.

Going ahead to step 1:
The number 13 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of 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 / 13

Let's proceed to step 2:
When dividing 81 by 13, we get 6 with a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 78 from 81 to get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 13

Step 3:
If we divide 37 by 13, we get 2 and a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 62.0
Subtracting 26 from 37 leaves us with 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 13

Moving on to step 4:
113 divided by 13 is 8 with a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 628.0
Deduct 104 from 113 and we're left with 9.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 13

Step 5:
The number 13 fits into 93 7 times, leaving a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 6287.0
If we take 91 away from 93, we end up with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 13

Going ahead to step 6:
13 can be fit into 28 2 times, resulting in a remainder of 2.
The next digit of our result is 2. 
Result so far: 62872.0
The remainder is 2 after subtracting 26 from 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 62872.1
Subtract 13 from 20 to get 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 8:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 62872.15
If we subtract 65 from 70, we 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.

Advancing to step 9:
If we divide 50 by 13, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 62872.153
Subtracting 39 from 50 leaves us 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.

On to step 10:
13 goes into 110 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 62872.1538
If we take 104 away from 110, we end up 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.

Advancing to step 11:
60 divided by 13 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 62872.15384
If we subtract 52 from 60, we 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 12:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 62872.153846
Subtracting 78 from 80 leaves us 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.

Let's proceed to step 13:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 62872.1538461
Deduct 13 from 20 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.

Let's proceed to step 14:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 62872.15384615
If we take 65 away from 70, 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.

After the division, we end up with 62872.15384615 and a remainder of 5e-09.