We're dividing 796594 by 13 
Let's see how many times 13 fits into 796594.

Advancing to step 1:
When dividing 7 by 13, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 13

Advancing to step 2:
79 divided by 13 is 6 with a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 1 after subtracting 78 from 79.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 13

Let's proceed to step 3:
16 divided by 13 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
Subtracting 13 from 16 leaves us with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 13

On to step 4:
13 can be fit into 35 2 times, resulting in a remainder of 9.
The next digit of our result is 2. 
Result so far: 612.0
The remainder is 9 after subtracting 26 from 35.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 13

Advancing to step 5:
13 can be fit into 99 7 times, resulting in a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 6127.0
Deduct 91 from 99 and we're left with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 13

Let's proceed to step 6:
13 goes into 84 6 times with a remainder of 6.
The next digit of our result is 6. 
Result so far: 61276.0
Deduct 78 from 84 and we're left 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.

Going ahead to step 7:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 61276.4
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.

Moving on to step 8:
If we divide 80 by 13, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 61276.46
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.

Moving on to step 9:
When dividing 20 by 13, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 61276.461
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.

Step 10:
13 goes into 70 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 61276.4615
Subtracting 65 from 70 leaves us 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.

Advancing to step 11:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 61276.46153
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.

Moving on to step 12:
13 goes into 110 8 times with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 61276.461538
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.

Step 13:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 61276.4615384
Subtract 52 from 60 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 14:
80 divided by 13 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 61276.46153846
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.

The final result is 61276.46153846 with a remainder of 2e-09.