We're dividing 542659 by 26 
We're looking to find how many times 26 goes into 542659.

Step 1:
26 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 26

Step 2:
26 can be fit into 54 2 times, resulting in a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 52 away from 54, we end up with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 26

Advancing to step 3:
26 can be fit into 22 0 times, resulting in a remainder of 22.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
The remainder is 22 after subtracting 0 from 22.
Fetch the next digit (6) from the dividend, attach it to 22 and continue: 226 / 26

Moving on to step 4:
26 can be fit into 226 8 times, resulting in a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 208.0
If we take 208 away from 226, we end up with 18.
Include the next digit (5) from the dividend after 18, then repeat: 185 / 26

Step 5:
26 can be fit into 185 7 times, resulting in a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 2087.0
If we take 182 away from 185, we end up with 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 26

On to step 6:
26 can be fit into 39 1 times, resulting in a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 20871.0
If we take 26 away from 39, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
When dividing 130 by 26, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 20871.5
The remainder is 0 after subtracting 130 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
0 divided by 26 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 20871.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
When dividing 0 by 26, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 20871.5
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 20871.5 and a remainder of 0.0.