We look at the division of 259828 by 26 
We want to figure out the number of times 259828 can be divided by 26.

Going ahead to step 1:
When dividing 2 by 26, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 26

On to step 2:
26 goes into 25 0 times with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Fetch the next digit (9) from the dividend, attach it to 25 and continue: 259 / 26

Going ahead to step 3:
When dividing 259 by 26, we get 9 with a remainder of 25.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 234 from 259 and we're left with 25.
Append the next digit (8) from the dividend to 25 and continue with: 258 / 26

Going ahead to step 4:
258 divided by 26 is 9 with a remainder of 24.
Write down 9 as next digit of the result. 
Result so far: 99.0
Subtracting 234 from 258 leaves us with 24.
Grab the next digit (2) from the dividend, add it to 24, then carry on: 242 / 26

Let's proceed to step 5:
26 can be fit into 242 9 times, resulting in a remainder of 8.
Write down 9 as next digit of the result. 
Result so far: 999.0
Subtract 234 from 242 to get 8.
Grab the next digit (8) from the dividend, add it to 8, then carry on: 88 / 26

Advancing to step 6:
When dividing 88 by 26, we get 3 with a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 9993.0
Deduct 78 from 88 and we're left 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.

Let's proceed to step 7:
26 can be fit into 100 3 times, resulting in a remainder of 22.
The next digit of our result is 3. 
Result so far: 9993.3
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.

Step 8:
The number 26 fits into 220 8 times, leaving a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 9993.38
Subtract 208 from 220 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
26 can be fit into 120 4 times, resulting in a remainder of 16.
The next digit of our result is 4. 
Result so far: 9993.384
If we subtract 104 from 120, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 10:
160 divided by 26 is 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 9993.3846
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.

On to step 11:
40 divided by 26 is 1 with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 9993.38461
Subtract 26 from 40 to get 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 12:
The number 26 fits into 140 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 9993.384615
The remainder is 10 after subtracting 130 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
100 divided by 26 is 3 with a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 9993.3846153
The remainder is 22 after subtracting 78 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 14:
26 can be fit into 220 8 times, resulting in a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 9993.38461538
The remainder is 12 after subtracting 208 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 9993.38461538 with a balance of 1.2e-08.