We look at the division of 235436 by 13 
We're looking to find how many times 13 goes into 235436.

Advancing to step 1:
13 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 13

Step 2:
23 divided by 13 is 1 with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 13 away from 23, we end up with 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 13

Let's proceed to step 3:
The number 13 fits into 105 8 times, leaving a remainder of 1.
The next digit of our result is 8. 
Result so far: 18.0
Subtract 104 from 105 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 13

Moving on to step 4:
13 goes into 14 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 181.0
Subtract 13 from 14 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 13

Step 5:
If we divide 13 by 13, we get 1 and a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1811.0
Deduct 13 from 13 and we're left with 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 13

Step 6:
When dividing 6 by 13, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 18110.0
Subtract 0 from 6 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
If we divide 60 by 13, we get 4 and a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 18110.4
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
13 goes into 80 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 18110.46
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.

On to step 9:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 18110.461
Subtract 13 from 20 to 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.

Let's proceed to step 10:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 18110.4615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 11:
When dividing 50 by 13, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 18110.46153
Deduct 39 from 50 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 12:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 18110.461538
The remainder is 6 after subtracting 104 from 110.
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 13:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 18110.4615384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 14:
80 divided by 13 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 18110.46153846
Subtracting 78 from 80 leaves us 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.

Our division results in 18110.46153846 with a remaining 2e-09.