25877 divided by 60 
We're looking to find how many times 60 goes into 25877.

On to step 1:
The number 60 fits into 2 0 times, leaving a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 60

Going ahead to step 2:
If we divide 25 by 60, we get 0 and a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Grab the next digit (8) from the dividend, add it to 25, then carry on: 258 / 60

Moving on to step 3:
258 divided by 60 is 4 with a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 240 from 258 and we're left with 18.
Take the next digit (7) from the dividend and append it to 18, then repeat: 187 / 60

On to step 4:
60 can be fit into 187 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 43.0
If we subtract 180 from 187, we get 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 60

Advancing to step 5:
60 goes into 77 1 times with a remainder of 17.
The next digit of our result is 1. 
Result so far: 431.0
Deduct 60 from 77 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 6:
If we divide 170 by 60, we get 2 and a remainder of 50.
The next digit of our result is 2. 
Result so far: 431.2
Deduct 120 from 170 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 7:
500 divided by 60 is 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 431.28
Subtracting 480 from 500 leaves us 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.

Let's proceed to step 8:
The number 60 fits into 200 3 times, leaving a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 431.283
Deduct 180 from 200 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.

Moving on to step 9:
When dividing 200 by 60, we get 3 with a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 431.2833
If we take 180 away from 200, we end up 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.

In conclusion, the division gives 431.2833 with a balance of 0.0002.