We look at the division of 509161 by 60 
The aim is to understand the frequency of 60 in 509161.

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.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 60

On to step 2:
The number 60 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Append the next digit (9) from the dividend to 50 and continue with: 509 / 60

Step 3:
If we divide 509 by 60, we get 8 and a remainder of 29.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 480 from 509, we get 29.
Fetch the next digit (1) from the dividend, attach it to 29 and continue: 291 / 60

Step 4:
60 goes into 291 4 times with a remainder of 51.
Write down 4 as next digit of the result. 
Result so far: 84.0
Deduct 240 from 291 and we're left with 51.
Append the next digit (6) from the dividend to 51 and continue with: 516 / 60

On to step 5:
If we divide 516 by 60, we get 8 and a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 848.0
Subtracting 480 from 516 leaves us with 36.
Append the next digit (1) from the dividend to 36 and continue with: 361 / 60

Going ahead to step 6:
60 can be fit into 361 6 times, resulting in a remainder of 1.
The next digit of our result is 6. 
Result so far: 8486.0
Subtracting 360 from 361 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
If we divide 10 by 60, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 8486.0
Subtract 0 from 10 to 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.

Let's proceed to step 8:
100 divided by 60 is 1 with a remainder of 40.
Use 1 as the next digit of our solution. 
Result so far: 8486.01
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 9:
60 can be fit into 400 6 times, resulting in a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 8486.016
Subtracting 360 from 400 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.

Going ahead to step 10:
400 divided by 60 is 6 with a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 8486.0166
If we take 360 away from 400, we end up 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.

Our division results in 8486.0166 with a remaining 0.0004.