We divide 581312 by 60
We want to figure out the number of times 581312 can be divided by 60.

Let's proceed to step 1:
When dividing 5 by 60, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 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
If we subtract 0 from 58, we get 58.
Take the next digit (1) from the dividend and append it to 58, then repeat: 581 / 60

Advancing to step 3:
60 goes into 581 9 times with a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 540 from 581 and we're left with 41.
Bring next digit (3) of the dividend behind the 41 and repeat the process: 413 / 60

Moving on to step 4:
60 can be fit into 413 6 times, resulting in a remainder of 53.
Put 6 as the next digit of the answer. 
Result so far: 96.0
If we subtract 360 from 413, we get 53.
Bring next digit (1) of the dividend behind the 53 and repeat the process: 531 / 60

On to step 5:
If we divide 531 by 60, we get 8 and a remainder of 51.
The number 8 becomes the next digit in our result. 
Result so far: 968.0
If we take 480 away from 531, we end up with 51.
Take the next digit (2) from the dividend and append it to 51, then repeat: 512 / 60

Moving on to step 6:
When dividing 512 by 60, we get 8 with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 9688.0
If we subtract 480 from 512, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 7:
60 goes into 320 5 times with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 9688.5
Subtracting 300 from 320 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.

Advancing to step 8:
200 divided by 60 is 3 with a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 9688.53
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.

Advancing to step 9:
If we divide 200 by 60, we get 3 and a remainder of 20.
Write down 3 as next digit of the result. 
Result so far: 9688.533
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.

In conclusion, the division gives 9688.533 with a balance of 0.002.