Let's divide 116775 by 13
We're looking to find how many times 13 goes into 116775.

Advancing to step 1:
If we divide 1 by 13, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 13

Moving on to step 2:
The number 13 fits into 11 0 times, leaving a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 13

Moving on to step 3:
If we divide 116 by 13, we get 8 and a remainder of 12.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 12 after subtracting 104 from 116.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 13

Moving on to step 4:
13 can be fit into 127 9 times, resulting in a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 89.0
Subtracting 117 from 127 leaves us with 10.
Take the next digit (7) from the dividend and append it to 10, then repeat: 107 / 13

Moving on to step 5:
If we divide 107 by 13, we get 8 and a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 898.0
If we subtract 104 from 107, we get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 13

Going ahead to step 6:
When dividing 35 by 13, we get 2 with a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 8982.0
If we subtract 26 from 35, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 8982.6
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 8982.69
If we take 117 away from 120, we end up 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.

Going ahead to step 9:
30 divided by 13 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 8982.692
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.

Step 10:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 8982.6923
If we take 39 away from 40, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 11:
13 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 8982.6923
The remainder is 10 after subtracting 0 from 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 12:
When dividing 100 by 13, we get 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 8982.692307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 13:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 8982.6923076
Subtracting 78 from 90 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 14:
120 divided by 13 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 8982.69230769
Subtract 117 from 120 to 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.

The final outcome is 8982.69230769, with a leftover of 3e-09.