155271 ÷ 25 
Our goal is to divide 155271 by 25.

Advancing to step 1:
The number 25 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 25

Going ahead to step 2:
When dividing 15 by 25, we get 0 with a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Bring next digit (5) of the dividend behind the 15 and repeat the process: 155 / 25

Let's proceed to step 3:
25 goes into 155 6 times with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 5 after subtracting 150 from 155.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 25

Step 4:
When dividing 52 by 25, we get 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 62.0
Subtract 50 from 52 to get 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 25

Moving on to step 5:
If we divide 27 by 25, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 621.0
Deduct 25 from 27 and we're left with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 25

Step 6:
If we divide 21 by 25, we get 0 and a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 6210.0
If we take 0 away from 21, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
210 divided by 25 is 8 with a remainder of 10.
The next digit of our result is 8. 
Result so far: 6210.8
If we subtract 200 from 210, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
25 can be fit into 100 4 times, resulting in a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 6210.84
If we take 100 away from 100, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 6210.84
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.

On to step 10:
0 divided by 25 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 6210.84
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 6210.84 with a remaining 0.0.