Let's divide 582289 by 60
Our goal is to divide 582289 by 60.

Going ahead to step 1:
If we divide 5 by 60, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 60

Going ahead to step 2:
When dividing 58 by 60, we get 0 with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 58 to get 58.
Append the next digit (2) from the dividend to 58 and continue with: 582 / 60

Advancing to step 3:
When dividing 582 by 60, we get 9 with a remainder of 42.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 42 after subtracting 540 from 582.
Bring next digit (2) of the dividend behind the 42 and repeat the process: 422 / 60

On to step 4:
If we divide 422 by 60, we get 7 and a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 97.0
Subtracting 420 from 422 leaves us with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 60

Advancing to step 5:
When dividing 28 by 60, we get 0 with a remainder of 28.
Put 0 as the next digit of the answer. 
Result so far: 970.0
If we subtract 0 from 28, we get 28.
Include the next digit (9) from the dividend after 28, then repeat: 289 / 60

Advancing to step 6:
The number 60 fits into 289 4 times, leaving a remainder of 49.
The next digit of our result is 4. 
Result so far: 9704.0
If we take 240 away from 289, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 7:
490 divided by 60 is 8 with a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 9704.8
If we take 480 away from 490, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
100 divided by 60 is 1 with a remainder of 40.
Write down 1 as next digit of the result. 
Result so far: 9704.81
Subtracting 60 from 100 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.

Step 9:
60 can be fit into 400 6 times, resulting in a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 9704.816
Deduct 360 from 400 and we're left 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.

Moving on to step 10:
60 goes into 400 6 times with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 9704.8166
Subtract 360 from 400 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.

The quotient of the division is 9704.8166, and the remainder is 0.0004.