We're dividing 41077 by 26 
We want to figure out the number of times 41077 can be divided by 26.

Moving on to step 1:
When dividing 4 by 26, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 26

On to step 2:
26 goes into 41 1 times with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 26 from 41 and we're left with 15.
Take the next digit (0) from the dividend and append it to 15, then repeat: 150 / 26

Let's proceed to step 3:
26 goes into 150 5 times with a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 15.0
The remainder is 20 after subtracting 130 from 150.
Include the next digit (7) from the dividend after 20, then repeat: 207 / 26

Advancing to step 4:
When dividing 207 by 26, we get 7 with a remainder of 25.
The next digit of our result is 7. 
Result so far: 157.0
Deduct 182 from 207 and we're left with 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 26

Moving on to step 5:
The number 26 fits into 257 9 times, leaving a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 1579.0
The remainder is 23 after subtracting 234 from 257.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 6:
If we divide 230 by 26, we get 8 and a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 1579.8
Subtract 208 from 230 to get 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 7:
220 divided by 26 is 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 1579.88
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.

In conclusion, the division gives 1579.88 with a balance of 0.012.