We look at the division of 25162 by 25 
We want to figure out the number of times 25162 can be divided by 25.

On to step 1:
When dividing 2 by 25, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 25

Going ahead to step 2:
If we divide 25 by 25, we get 1 and a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 25 from 25, we get 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 25

Going ahead to step 3:
When dividing 1 by 25, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 1 to get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 25

Let's proceed to step 4:
When dividing 16 by 25, we get 0 with a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 100.0
Subtract 0 from 16 to get 16.
Include the next digit (2) from the dividend after 16, then repeat: 162 / 25

Step 5:
25 can be fit into 162 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 1006.0
The remainder is 12 after subtracting 150 from 162.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 6:
If we divide 120 by 25, we get 4 and a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 1006.4
Deduct 100 from 120 and we're left 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.

On to step 7:
The number 25 fits into 200 8 times, leaving a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 1006.48
If we take 200 away from 200, 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.

Advancing to step 8:
0 divided by 25 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 1006.48
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.

Moving on to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 1006.48
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.

After the division, we end up with 1006.48 and a remainder of 0.0.