We divide 566543 by 26
We want to figure out the number of times 566543 can be divided by 26.

Moving on to step 1:
The number 26 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 26

Let's proceed to step 2:
If we divide 56 by 26, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 52 from 56, we get 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 26

Advancing to step 3:
26 can be fit into 46 1 times, resulting in a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 21.0
If we take 26 away from 46, we end up with 20.
Include the next digit (5) from the dividend after 20, then repeat: 205 / 26

Going ahead to step 4:
26 goes into 205 7 times with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 217.0
If we subtract 182 from 205, we get 23.
Include the next digit (4) from the dividend after 23, then repeat: 234 / 26

Moving on to step 5:
26 can be fit into 234 9 times, resulting in a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 2179.0
Subtracting 234 from 234 leaves us with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 26

On to step 6:
26 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 21790.0
If we subtract 0 from 3, 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.

Let's proceed to step 7:
26 goes into 30 1 times with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 21790.1
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.

On to step 8:
When dividing 40 by 26, we get 1 with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 21790.11
The remainder is 14 after subtracting 26 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 21790.11 with a remainder of 0.014.