35101 ÷ 60 
The aim is to understand the frequency of 60 in 35101.

Advancing to step 1:
If we divide 3 by 60, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 60

On to step 2:
The number 60 fits into 35 0 times, leaving a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Append the next digit (1) from the dividend to 35 and continue with: 351 / 60

On to step 3:
The number 60 fits into 351 5 times, leaving a remainder of 51.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 300 from 351 leaves us with 51.
Bring next digit (0) of the dividend behind the 51 and repeat the process: 510 / 60

Advancing to step 4:
If we divide 510 by 60, we get 8 and a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
Subtract 480 from 510 to get 30.
Bring next digit (1) of the dividend behind the 30 and repeat the process: 301 / 60

Moving on to step 5:
If we divide 301 by 60, we get 5 and a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 585.0
Subtracting 300 from 301 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.

Moving on to step 6:
60 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 585.0
If we take 0 away from 10, 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.

Moving on to step 7:
60 goes into 100 1 times with a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 585.01
If we subtract 60 from 100, 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.

On to step 8:
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: 585.016
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.

Let's proceed to step 9:
If we divide 400 by 60, we get 6 and a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 585.0166
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 585.0166 with a balance of 0.0004.