We look at the division of 963384 by 13 
We want to figure out the number of times 963384 can be divided by 13.

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.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 13

Moving on to step 2:
96 divided by 13 is 7 with a remainder of 5.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 91 from 96 to get 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 13

Advancing to step 3:
When dividing 53 by 13, we get 4 with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
Deduct 52 from 53 and we're left with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 13

Advancing to step 4:
The number 13 fits into 13 1 times, leaving a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 741.0
Subtracting 13 from 13 leaves us with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 13

Going ahead to step 5:
13 goes into 8 0 times with a remainder of 8.
The next digit of our result is 0. 
Result so far: 7410.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 13

Going ahead to step 6:
13 goes into 84 6 times with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 74106.0
If we take 78 away from 84, 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 7:
When dividing 60 by 13, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 74106.4
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
80 divided by 13 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 74106.46
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.

On to step 9:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 74106.461
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.

Advancing to step 10:
If we divide 70 by 13, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 74106.4615
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 11:
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: 74106.46153
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.

Let's proceed to step 12:
The number 13 fits into 110 8 times, leaving a remainder of 6.
The next digit of our result is 8. 
Result so far: 74106.461538
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.

Step 13:
13 goes into 60 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 74106.4615384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 14:
13 goes into 80 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 74106.46153846
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.

The quotient of the division is 74106.46153846, and the remainder is 2e-09.