583210 ÷ 60 
We want to figure out the number of times 583210 can be divided by 60.

Advancing to step 1:
If we divide 5 by 60, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 60

Advancing to step 2:
When dividing 58 by 60, we get 0 with a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Grab the next digit (3) from the dividend, add it to 58, then carry on: 583 / 60

Let's proceed to step 3:
60 can be fit into 583 9 times, resulting in a remainder of 43.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtracting 540 from 583 leaves us with 43.
Fetch the next digit (2) from the dividend, attach it to 43 and continue: 432 / 60

Advancing to step 4:
When dividing 432 by 60, we get 7 with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 97.0
The remainder is 12 after subtracting 420 from 432.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 60

On to step 5:
121 divided by 60 is 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 972.0
If we take 120 away from 121, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 60

Going ahead to step 6:
The number 60 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 9720.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
60 can be fit into 100 1 times, resulting in a remainder of 40.
Use 1 as the next digit of our solution. 
Result so far: 9720.1
Subtract 60 from 100 to 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.

Moving on to step 8:
400 divided by 60 is 6 with a remainder of 40.
The next digit of our result is 6. 
Result so far: 9720.16
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:
The number 60 fits into 400 6 times, leaving a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 9720.166
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 9720.166 with a balance of 0.004.