115775 ÷ 13 
Let's see how many times 13 fits into 115775.

Let's proceed to step 1:
13 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 13

Moving on to step 2:
13 goes into 11 0 times with 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.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 13

Going ahead to step 3:
The number 13 fits into 115 8 times, leaving a remainder of 11.
The next digit of our result is 8. 
Result so far: 8.0
If we take 104 away from 115, we end up with 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 13

Let's proceed to step 4:
13 goes into 117 9 times with a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 89.0
If we subtract 117 from 117, we get 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 13

On to step 5:
If we divide 7 by 13, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 890.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 13

Moving on to step 6:
13 goes into 75 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 8905.0
The remainder is 10 after subtracting 65 from 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 8905.7
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 8:
If we divide 90 by 13, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 8905.76
If we subtract 78 from 90, we 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.

Moving on to step 9:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 8905.769
Deduct 117 from 120 and we're left 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.

On to step 10:
13 goes into 30 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 8905.7692
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.

Going ahead to step 11:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 8905.76923
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 12:
13 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 8905.76923
If we take 0 away from 10, we end up 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.

Going ahead to step 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 8905.7692307
Deduct 91 from 100 and we're left 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.

Advancing to step 14:
13 goes into 90 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 8905.76923076
If we subtract 78 from 90, we 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.

Our division results in 8905.76923076 with a remaining 1.2e-08.