We're dividing 25253 by 60 
We're looking to find how many times 60 goes into 25253.

Advancing to step 1:
2 divided by 60 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 60

Let's proceed to step 2:
The number 60 fits into 25 0 times, leaving a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Grab the next digit (2) from the dividend, add it to 25, then carry on: 252 / 60

Moving on to step 3:
When dividing 252 by 60, we get 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 240 from 252, we get 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 60

On to step 4:
When dividing 125 by 60, we get 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 42.0
If we take 120 away from 125, we end up with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 60

On to step 5:
53 divided by 60 is 0 with a remainder of 53.
Put 0 as the next digit of the answer. 
Result so far: 420.0
Subtract 0 from 53 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 6:
The number 60 fits into 530 8 times, leaving a remainder of 50.
The number 8 becomes the next digit in our result. 
Result so far: 420.8
If we subtract 480 from 530, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 7:
500 divided by 60 is 8 with a remainder of 20.
The next digit of our result is 8. 
Result so far: 420.88
Subtract 480 from 500 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 420.88 with a remainder of 0.02.