We look at the division of 113785 by 13 
We want to figure out the number of times 113785 can be divided by 13.

On to step 1:
13 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 13

Moving on to step 2:
11 divided by 13 is 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 13

Advancing to step 3:
13 goes into 113 8 times with a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 104 from 113 and we're left with 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 13

Advancing to step 4:
If we divide 97 by 13, we get 7 and a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 87.0
Deduct 91 from 97 and we're left with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 13

Let's proceed to step 5:
When dividing 68 by 13, we get 5 with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 875.0
If we take 65 away from 68, we end up with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 13

On to step 6:
The number 13 fits into 35 2 times, leaving a remainder of 9.
The next digit of our result is 2. 
Result so far: 8752.0
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.

Going ahead to step 7:
If we divide 90 by 13, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 8752.6
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.

Step 8:
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: 8752.69
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.

Advancing to step 9:
If we divide 30 by 13, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 8752.692
Subtract 26 from 30 to 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.

Going ahead to step 10:
40 divided by 13 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 8752.6923
If we subtract 39 from 40, we 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 11:
When dividing 10 by 13, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 8752.6923
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.

Moving on to step 12:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 8752.692307
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.

Moving on to step 13:
If we divide 90 by 13, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 8752.6923076
The remainder is 12 after subtracting 78 from 90.
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 14:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 8752.69230769
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.

The final outcome is 8752.69230769, with a leftover of 3e-09.