We look at the division of 25582960 by 581 
Our goal is to divide 25582960 by 581.

Step 1:
581 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 581

Moving on to step 2:
581 goes into 25 0 times with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Fetch the next digit (5) from the dividend, attach it to 25 and continue: 255 / 581

Moving on to step 3:
581 can be fit into 255 0 times, resulting in a remainder of 255.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 255 and we're left with 255.
Grab the next digit (8) from the dividend, add it to 255, then carry on: 2558 / 581

On to step 4:
581 goes into 2558 4 times with a remainder of 234.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 2324 from 2558, we get 234.
Append the next digit (2) from the dividend to 234 and continue with: 2342 / 581

Step 5:
The number 581 fits into 2342 4 times, leaving a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 44.0
Subtracting 2324 from 2342 leaves us with 18.
Append the next digit (9) from the dividend to 18 and continue with: 189 / 581

Step 6:
If we divide 189 by 581, we get 0 and a remainder of 189.
Write down 0 as next digit of the result. 
Result so far: 440.0
The remainder is 189 after subtracting 0 from 189.
Append the next digit (6) from the dividend to 189 and continue with: 1896 / 581

Going ahead to step 7:
1896 divided by 581 is 3 with a remainder of 153.
The number 3 becomes the next digit in our result. 
Result so far: 4403.0
Subtract 1743 from 1896 to get 153.
Bring next digit (0) of the dividend behind the 153 and repeat the process: 1530 / 581

Step 8:
If we divide 1530 by 581, we get 2 and a remainder of 368.
The next digit of our result is 2. 
Result so far: 44032.0
Deduct 1162 from 1530 and we're left with 368.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3680, and continue the process.

Let's proceed to step 9:
581 can be fit into 3680 6 times, resulting in a remainder of 194.
Put 6 as the next digit of the answer. 
Result so far: 44032.6
If we take 3486 away from 3680, we end up with 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Step 10:
The number 581 fits into 1940 3 times, leaving a remainder of 197.
Write down 3 as next digit of the result. 
Result so far: 44032.63
Subtract 1743 from 1940 to get 197.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1970, and continue the process.

On to step 11:
When dividing 1970 by 581, we get 3 with a remainder of 227.
Write down 3 as next digit of the result. 
Result so far: 44032.633
Deduct 1743 from 1970 and we're left with 227.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2270, and continue the process.

The final outcome is 44032.633, with a leftover of 0.0227.