We look at the division of 420459 by 26 
We're looking to find how many times 26 goes into 420459.

Step 1:
If we divide 4 by 26, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 26

Moving on to step 2:
26 goes into 42 1 times with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 16 after subtracting 26 from 42.
Take the next digit (0) from the dividend and append it to 16, then repeat: 160 / 26

On to step 3:
The number 26 fits into 160 6 times, leaving a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Deduct 156 from 160 and we're left with 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 26

Going ahead to step 4:
When dividing 44 by 26, we get 1 with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 161.0
Subtracting 26 from 44 leaves us with 18.
Include the next digit (5) from the dividend after 18, then repeat: 185 / 26

Advancing to step 5:
If we divide 185 by 26, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 1617.0
Subtract 182 from 185 to get 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 26

On to step 6:
The number 26 fits into 39 1 times, leaving a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 16171.0
Subtract 26 from 39 to get 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:
26 can be fit into 130 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 16171.5
Deduct 130 from 130 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
26 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 16171.5
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.

Step 9:
The number 26 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 16171.5
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.

Our division results in 16171.5 with a remaining 0.0.