We look at the division of 25579 by 41 
Let's see how many times 41 fits into 25579.

Advancing to step 1:
When dividing 2 by 41, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 41

Advancing to step 2:
When dividing 25 by 41, we get 0 with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Take the next digit (5) from the dividend and append it to 25, then repeat: 255 / 41

Let's proceed to step 3:
If we divide 255 by 41, we get 6 and a remainder of 9.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 246 from 255 and we're left with 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 41

Moving on to step 4:
41 can be fit into 97 2 times, resulting in a remainder of 15.
Use 2 as the next digit of our solution. 
Result so far: 62.0
If we subtract 82 from 97, we get 15.
Bring next digit (9) of the dividend behind the 15 and repeat the process: 159 / 41

Step 5:
When dividing 159 by 41, we get 3 with a remainder of 36.
Use 3 as the next digit of our solution. 
Result so far: 623.0
Subtracting 123 from 159 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 6:
If we divide 360 by 41, we get 8 and a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 623.8
Deduct 328 from 360 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 7:
When dividing 320 by 41, we get 7 with a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 623.87
Deduct 287 from 320 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 8:
330 divided by 41 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 623.878
If we subtract 328 from 330, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
41 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 623.878
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 10:
41 goes into 200 4 times with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 623.87804
Deduct 164 from 200 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 11:
The number 41 fits into 360 8 times, leaving a remainder of 32.
The next digit of our result is 8. 
Result so far: 623.878048
Deduct 328 from 360 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 12:
When dividing 320 by 41, we get 7 with a remainder of 33.
The next digit of our result is 7. 
Result so far: 623.8780487
Subtract 287 from 320 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 13:
41 goes into 330 8 times with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 623.87804878
If we take 328 away from 330, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 623.87804878 and a remainder of 2e-09.