575969 divided by 60 
The aim is to understand the frequency of 60 in 575969.

On to step 1:
60 goes into 5 0 times 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.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 60

Moving on to step 2:
If we divide 57 by 60, we get 0 and a remainder of 57.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 57 leaves us with 57.
Append the next digit (5) from the dividend to 57 and continue with: 575 / 60

Moving on to step 3:
575 divided by 60 is 9 with a remainder of 35.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we subtract 540 from 575, we get 35.
Grab the next digit (9) from the dividend, add it to 35, then carry on: 359 / 60

Advancing to step 4:
If we divide 359 by 60, we get 5 and a remainder of 59.
Write down 5 as next digit of the result. 
Result so far: 95.0
If we take 300 away from 359, we end up with 59.
Take the next digit (6) from the dividend and append it to 59, then repeat: 596 / 60

Moving on to step 5:
The number 60 fits into 596 9 times, leaving a remainder of 56.
The next digit of our result is 9. 
Result so far: 959.0
Subtracting 540 from 596 leaves us with 56.
Grab the next digit (9) from the dividend, add it to 56, then carry on: 569 / 60

Moving on to step 6:
The number 60 fits into 569 9 times, leaving a remainder of 29.
Write down 9 as next digit of the result. 
Result so far: 9599.0
If we take 540 away from 569, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
290 divided by 60 is 4 with a remainder of 50.
Record the quotient 4 as the next digit in the result. 
Result so far: 9599.4
Deduct 240 from 290 and we're left 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.

Moving on to step 8:
The number 60 fits into 500 8 times, leaving a remainder of 20.
The next digit of our result is 8. 
Result so far: 9599.48
The remainder is 20 after subtracting 480 from 500.
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:
60 goes into 200 3 times with a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 9599.483
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.

On to step 10:
200 divided by 60 is 3 with a remainder of 20.
Write down 3 as next digit of the result. 
Result so far: 9599.4833
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 9599.4833, and the remainder is 0.0002.