235186 divided by 13 
We want to figure out the number of times 235186 can be divided by 13.

Going ahead to step 1:
13 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 13

Going ahead to step 2:
13 goes into 23 1 times with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 13 from 23, we get 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 13

On to step 3:
13 can be fit into 105 8 times, resulting in a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 18.0
If we subtract 104 from 105, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 13

Moving on to step 4:
If we divide 11 by 13, we get 0 and a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 180.0
The remainder is 11 after subtracting 0 from 11.
Include the next digit (8) from the dividend after 11, then repeat: 118 / 13

Step 5:
13 goes into 118 9 times with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 1809.0
If we subtract 117 from 118, we get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 13

Advancing to step 6:
16 divided by 13 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 18091.0
If we take 13 away from 16, 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 7:
When dividing 30 by 13, we get 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 18091.2
Subtracting 26 from 30 leaves us 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.

Advancing to step 8:
40 divided by 13 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 18091.23
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.

Let's proceed to step 9:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 18091.23
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 18091.2307
Subtract 91 from 100 to 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.

On to step 11:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 18091.23076
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 12:
When dividing 120 by 13, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 18091.230769
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.

Step 13:
When dividing 30 by 13, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 18091.2307692
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.

Moving on to step 14:
When dividing 40 by 13, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 18091.23076923
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.

After the division, we end up with 18091.23076923 and a remainder of 1e-09.