We look at the division of 963411 by 13 
Let's see how many times 13 fits into 963411.

Advancing to step 1:
When dividing 9 by 13, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 13

Step 2:
When dividing 96 by 13, we get 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 7.0
The remainder is 5 after subtracting 91 from 96.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 13

Advancing to step 3:
13 goes into 53 4 times with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
If we take 52 away from 53, we end up with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 13

Advancing to step 4:
The number 13 fits into 14 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 741.0
If we subtract 13 from 14, we get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 13

Let's proceed to step 5:
13 goes into 11 0 times with a remainder of 11.
The next digit of our result is 0. 
Result so far: 7410.0
Subtract 0 from 11 to get 11.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 13

Advancing to step 6:
13 goes into 111 8 times with a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 74108.0
If we take 104 away from 111, we end up 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 7:
13 goes into 70 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 74108.5
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.

Going ahead to step 8:
If we divide 50 by 13, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 74108.53
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.

Advancing to step 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 74108.538
If we subtract 104 from 110, we 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.

On to step 10:
If we divide 60 by 13, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 74108.5384
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.

Going ahead to step 11:
When dividing 80 by 13, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 74108.53846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 12:
If we divide 20 by 13, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 74108.538461
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.

On to step 13:
When dividing 70 by 13, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 74108.5384615
Deduct 65 from 70 and we're left 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.

Moving on to step 14:
50 divided by 13 is 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 74108.53846153
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.

Our division results in 74108.53846153 with a remaining 1.1e-08.