We look at the division of 13567 by 52 
Our goal is to divide 13567 by 52.

Step 1:
The number 52 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 52

Let's proceed to step 2:
52 goes into 13 0 times with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 52

Step 3:
52 can be fit into 135 2 times, resulting in a remainder of 31.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 104 from 135, we get 31.
Append the next digit (6) from the dividend to 31 and continue with: 316 / 52

Let's proceed to step 4:
316 divided by 52 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
Subtract 312 from 316 to get 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 52

Moving on to step 5:
47 divided by 52 is 0 with a remainder of 47.
The number 0 becomes the next digit in our result. 
Result so far: 260.0
Deduct 0 from 47 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 6:
If we divide 470 by 52, we get 9 and a remainder of 2.
The next digit of our result is 9. 
Result so far: 260.9
Subtract 468 from 470 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.

Advancing to step 7:
When dividing 20 by 52, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 260.9
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
If we divide 200 by 52, we get 3 and a remainder of 44.
The number 3 becomes the next digit in our result. 
Result so far: 260.903
If we take 156 away from 200, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 9:
52 goes into 440 8 times with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 260.9038
If we take 416 away from 440, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 10:
52 can be fit into 240 4 times, resulting in a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 260.90384
If we take 208 away from 240, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 11:
52 goes into 320 6 times with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 260.903846
The remainder is 8 after subtracting 312 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 12:
The number 52 fits into 80 1 times, leaving a remainder of 28.
The next digit of our result is 1. 
Result so far: 260.9038461
If we take 52 away from 80, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 13:
280 divided by 52 is 5 with a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 260.90384615
If we subtract 260 from 280, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 260.90384615 with a balance of 2e-08.