We're dividing 259872 by 60 
We want to figure out the number of times 259872 can be divided by 60.

Going ahead to step 1:
The number 60 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 60

Advancing to step 2:
60 can be fit into 25 0 times, resulting in a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Fetch the next digit (9) from the dividend, attach it to 25 and continue: 259 / 60

Advancing to step 3:
When dividing 259 by 60, we get 4 with a remainder of 19.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 240 away from 259, we end up with 19.
Include the next digit (8) from the dividend after 19, then repeat: 198 / 60

Advancing to step 4:
60 can be fit into 198 3 times, resulting in a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 43.0
Deduct 180 from 198 and we're left with 18.
Take the next digit (7) from the dividend and append it to 18, then repeat: 187 / 60

Moving on to step 5:
The number 60 fits into 187 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 433.0
Subtracting 180 from 187 leaves us with 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 60

Step 6:
The number 60 fits into 72 1 times, leaving a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 4331.0
Subtract 60 from 72 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
60 goes into 120 2 times with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 4331.2
Deduct 120 from 120 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.

On to step 8:
When dividing 0 by 60, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 4331.2
Subtract 0 from 0 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 9:
If we divide 0 by 60, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4331.2
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.

The final result is 4331.2 with a remainder of 0.0.