1165 divided by 13 
Our goal is to divide 1165 by 13.

Advancing to step 1:
1 divided by 13 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 13

Advancing to step 2:
If we divide 11 by 13, we get 0 and a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Include the next digit (6) from the dividend after 11, then repeat: 116 / 13

On to step 3:
The number 13 fits into 116 8 times, leaving a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we subtract 104 from 116, we get 12.
Append the next digit (5) from the dividend to 12 and continue with: 125 / 13

Going ahead to step 4:
When dividing 125 by 13, we get 9 with a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 89.0
If we take 117 away from 125, 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 5:
If we divide 80 by 13, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 89.6
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.

Going ahead to step 6:
If we divide 20 by 13, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 89.61
If we subtract 13 from 20, we 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.

Going ahead to step 7:
70 divided by 13 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 89.615
If we take 65 away from 70, we end up 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.

Step 8:
If we divide 50 by 13, we get 3 and a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 89.6153
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 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 89.61538
Subtracting 104 from 110 leaves us 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.

On to step 10:
13 goes into 60 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 89.615384
Subtracting 52 from 60 leaves us 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.

On to step 11:
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: 89.6153846
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
If we divide 20 by 13, we get 1 and a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 89.61538461
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.

The final result is 89.61538461 with a remainder of 7e-09.