We look at the division of 966887 by 13 
Let's see how many times 13 fits into 966887.

On to step 1:
If we divide 9 by 13, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 13

Advancing to step 2:
If we divide 96 by 13, we get 7 and a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 91 from 96 to get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 13

Step 3:
If we divide 56 by 13, we get 4 and a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
The remainder is 4 after subtracting 52 from 56.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 13

Going ahead to step 4:
If we divide 48 by 13, we get 3 and a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 743.0
Subtracting 39 from 48 leaves us with 9.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 13

Going ahead to step 5:
13 goes into 98 7 times with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 7437.0
Deduct 91 from 98 and we're left with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 13

Advancing to step 6:
13 can be fit into 77 5 times, resulting in a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 74375.0
Subtracting 65 from 77 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
120 divided by 13 is 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 74375.9
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
When dividing 30 by 13, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 74375.92
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 74375.923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 10:
10 divided by 13 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 74375.923
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
When dividing 100 by 13, we get 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 74375.92307
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 12:
When dividing 90 by 13, we get 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 74375.923076
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 13:
13 goes into 120 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 74375.9230769
Subtracting 117 from 120 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 14:
30 divided by 13 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 74375.92307692
If we take 26 away from 30, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 74375.92307692 with a remainder of 4e-09.