We're dividing 235567 by 13 
We're looking to find how many times 13 goes into 235567.

Step 1:
The number 13 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
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

Advancing to 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
Deduct 13 from 23 and we're left with 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 13

Going ahead to step 3:
105 divided by 13 is 8 with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Subtract 104 from 105 to get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 13

Let's proceed to step 4:
When dividing 15 by 13, we get 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 181.0
Deduct 13 from 15 and we're left with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 13

Moving on to step 5:
If we divide 26 by 13, we get 2 and a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 1812.0
If we subtract 26 from 26, we get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 13

On to step 6:
7 divided by 13 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 18120.0
If we take 0 away from 7, we end up 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.

Let's proceed to step 7:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 18120.5
Subtract 65 from 70 to 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 8:
When dividing 50 by 13, we get 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 18120.53
Subtracting 39 from 50 leaves us 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.

Going ahead to step 9:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 18120.538
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.

Going ahead to step 10:
When dividing 60 by 13, we get 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 18120.5384
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.

Moving 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: 18120.53846
If we subtract 78 from 80, we 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.

Step 12:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 18120.538461
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.

Going ahead to step 13:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 18120.5384615
Deduct 65 from 70 and we're left 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.

Going ahead to step 14:
50 divided by 13 is 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 18120.53846153
Subtracting 39 from 50 leaves us 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.

The quotient of the division is 18120.53846153, and the remainder is 1.1e-08.