We look at the division of 585598 by 60 
Let's see how many times 60 fits into 585598.

Advancing to step 1:
60 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 60

Moving on to step 2:
60 can be fit into 58 0 times, resulting in a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 58 to get 58.
Append the next digit (5) from the dividend to 58 and continue with: 585 / 60

Going ahead to step 3:
The number 60 fits into 585 9 times, leaving a remainder of 45.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 45 after subtracting 540 from 585.
Take the next digit (5) from the dividend and append it to 45, then repeat: 455 / 60

Going ahead to step 4:
The number 60 fits into 455 7 times, leaving a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 97.0
Subtracting 420 from 455 leaves us with 35.
Include the next digit (9) from the dividend after 35, then repeat: 359 / 60

On to step 5:
If we divide 359 by 60, we get 5 and a remainder of 59.
Use 5 as the next digit of our solution. 
Result so far: 975.0
Subtracting 300 from 359 leaves us with 59.
Append the next digit (8) from the dividend to 59 and continue with: 598 / 60

Let's proceed to step 6:
When dividing 598 by 60, we get 9 with a remainder of 58.
Record the quotient 9 as the next digit in the result. 
Result so far: 9759.0
Subtracting 540 from 598 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 7:
If we divide 580 by 60, we get 9 and a remainder of 40.
Use 9 as the next digit of our solution. 
Result so far: 9759.9
Subtracting 540 from 580 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
If we divide 400 by 60, we get 6 and a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 9759.96
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
60 goes into 400 6 times with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 9759.966
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 9759.966 with a balance of 0.004.