We look at the division of 589025 by 60 
Our goal is to divide 589025 by 60.

Moving on to step 1:
When dividing 5 by 60, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 60

Going ahead to step 2:
60 goes into 58 0 times with a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Fetch the next digit (9) from the dividend, attach it to 58 and continue: 589 / 60

On to step 3:
60 can be fit into 589 9 times, resulting in a remainder of 49.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we take 540 away from 589, we end up with 49.
Include the next digit (0) from the dividend after 49, then repeat: 490 / 60

Step 4:
The number 60 fits into 490 8 times, leaving a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 98.0
If we take 480 away from 490, we end up with 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 60

Step 5:
The number 60 fits into 102 1 times, leaving a remainder of 42.
The next digit of our result is 1. 
Result so far: 981.0
If we take 60 away from 102, we end up with 42.
Take the next digit (5) from the dividend and append it to 42, then repeat: 425 / 60

Advancing to step 6:
If we divide 425 by 60, we get 7 and a remainder of 5.
The next digit of our result is 7. 
Result so far: 9817.0
The remainder is 5 after subtracting 420 from 425.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
50 divided by 60 is 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 9817.0
Subtracting 0 from 50 leaves us 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 8:
60 can be fit into 500 8 times, resulting in a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 9817.08
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.

Let's proceed to step 9:
When dividing 200 by 60, we get 3 with a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 9817.083
Subtracting 180 from 200 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.

Step 10:
60 goes into 200 3 times with a remainder of 20.
Write down 3 as next digit of the result. 
Result so far: 9817.0833
If we subtract 180 from 200, we 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 quotient of the division is 9817.0833, and the remainder is 0.0002.