409959 ÷ 26 
Our goal is to divide 409959 by 26.

Step 1:
The number 26 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 26

Going ahead to step 2:
26 goes into 40 1 times with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 26 from 40 leaves us with 14.
Take the next digit (9) from the dividend and append it to 14, then repeat: 149 / 26

Step 3:
26 goes into 149 5 times with a remainder of 19.
Write down 5 as next digit of the result. 
Result so far: 15.0
Subtract 130 from 149 to get 19.
Fetch the next digit (9) from the dividend, attach it to 19 and continue: 199 / 26

Moving on to step 4:
The number 26 fits into 199 7 times, leaving a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 157.0
Deduct 182 from 199 and we're left with 17.
Bring next digit (5) of the dividend behind the 17 and repeat the process: 175 / 26

Advancing to step 5:
26 can be fit into 175 6 times, resulting in a remainder of 19.
Use 6 as the next digit of our solution. 
Result so far: 1576.0
Deduct 156 from 175 and we're left with 19.
Include the next digit (9) from the dividend after 19, then repeat: 199 / 26

Going ahead to step 6:
26 goes into 199 7 times with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 15767.0
If we subtract 182 from 199, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
When dividing 170 by 26, we get 6 with a remainder of 14.
The next digit of our result is 6. 
Result so far: 15767.6
Subtracting 156 from 170 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
26 goes into 140 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 15767.65
Subtract 130 from 140 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
26 goes into 100 3 times with a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 15767.653
If we take 78 away from 100, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 10:
26 goes into 220 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 15767.6538
Deduct 208 from 220 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
26 can be fit into 120 4 times, resulting in a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 15767.65384
The remainder is 16 after subtracting 104 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 12:
26 goes into 160 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 15767.653846
Deduct 156 from 160 and we're left 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.

Step 13:
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: 15767.6538461
Deduct 26 from 40 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 14:
26 goes into 140 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 15767.65384615
If we take 130 away from 140, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 15767.65384615 with a balance of 1e-08.