We're dividing 25586 by 55 
We want to divide 25586 by 55.

Step 1:
55 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 55

Advancing to step 2:
55 goes into 25 0 times with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Take the next digit (5) from the dividend and append it to 25, then repeat: 255 / 55

Advancing to step 3:
When dividing 255 by 55, we get 4 with a remainder of 35.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 220 from 255 and we're left with 35.
Append the next digit (8) from the dividend to 35 and continue with: 358 / 55

Advancing to step 4:
55 can be fit into 358 6 times, resulting in a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 46.0
If we take 330 away from 358, we end up with 28.
Fetch the next digit (6) from the dividend, attach it to 28 and continue: 286 / 55

Advancing to step 5:
286 divided by 55 is 5 with a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 465.0
The remainder is 11 after subtracting 275 from 286.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 6:
If we divide 110 by 55, we get 2 and a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 465.2
Subtract 110 from 110 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
If we divide 0 by 55, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 465.2
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
When dividing 0 by 55, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 465.2
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 465.2, with a leftover of 0.0.