803394 ÷ 13 
We're looking to find how many times 13 goes into 803394.

Step 1:
8 divided by 13 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (0) from the dividend to 8 and continue with: 80 / 13

On to step 2:
If we divide 80 by 13, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 78 from 80 and we're left with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 13

Going ahead to step 3:
If we divide 23 by 13, we get 1 and a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 61.0
Subtracting 13 from 23 leaves us with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 13

Step 4:
When dividing 103 by 13, we get 7 with a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 617.0
If we take 91 away from 103, we end up with 12.
Bring next digit (9) of the dividend behind the 12 and repeat the process: 129 / 13

Advancing to step 5:
13 goes into 129 9 times with a remainder of 12.
Record the quotient 9 as the next digit in the result. 
Result so far: 6179.0
The remainder is 12 after subtracting 117 from 129.
Bring next digit (4) of the dividend behind the 12 and repeat the process: 124 / 13

Step 6:
The number 13 fits into 124 9 times, leaving a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 61799.0
Subtract 117 from 124 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.

Advancing to step 7:
If we divide 70 by 13, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 61799.5
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.

On to step 8:
When dividing 50 by 13, we get 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 61799.53
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 61799.538
Subtract 104 from 110 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.

Let's proceed to step 10:
When dividing 60 by 13, we get 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 61799.5384
If we take 52 away from 60, we end up 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.

Let's proceed to step 11:
When dividing 80 by 13, we get 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 61799.53846
If we take 78 away from 80, we end up 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.

Advancing to step 12:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 61799.538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
13 goes into 70 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 61799.5384615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 14:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 61799.53846153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final result is 61799.53846153 with a remainder of 1.1e-08.