115172 ÷ 60 
The aim is to understand the frequency of 60 in 115172.

Advancing to step 1:
60 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 60

Let's proceed to step 2:
If we divide 11 by 60, we get 0 and a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Grab the next digit (5) from the dividend, add it to 11, then carry on: 115 / 60

On to step 3:
The number 60 fits into 115 1 times, leaving a remainder of 55.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 60 from 115, we get 55.
Fetch the next digit (1) from the dividend, attach it to 55 and continue: 551 / 60

Moving on to step 4:
60 goes into 551 9 times with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 19.0
Deduct 540 from 551 and we're left with 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 60

Moving on to step 5:
When dividing 117 by 60, we get 1 with a remainder of 57.
Put 1 as the next digit of the answer. 
Result so far: 191.0
If we subtract 60 from 117, we get 57.
Include the next digit (2) from the dividend after 57, then repeat: 572 / 60

Step 6:
60 goes into 572 9 times with a remainder of 32.
Record the quotient 9 as the next digit in the result. 
Result so far: 1919.0
If we subtract 540 from 572, 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.

On to step 7:
60 can be fit into 320 5 times, resulting in a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 1919.5
Subtract 300 from 320 to 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.

Moving on 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: 1919.53
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.

Step 9:
When dividing 200 by 60, we get 3 with a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 1919.533
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 1919.533, and the remainder is 0.002.