175021 ÷ 15 
The aim is to understand the frequency of 15 in 175021.

Let's proceed to step 1:
If we divide 1 by 15, we get 0 and 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.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 15

Advancing to step 2:
15 goes into 17 1 times with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 2 after subtracting 15 from 17.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 15

Let's proceed to step 3:
15 goes into 25 1 times with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we subtract 15 from 25, we get 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 15

Step 4:
If we divide 100 by 15, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 116.0
Subtracting 90 from 100 leaves us with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 15

Advancing to step 5:
The number 15 fits into 102 6 times, leaving a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 1166.0
The remainder is 12 after subtracting 90 from 102.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 15

Let's proceed to step 6:
The number 15 fits into 121 8 times, leaving a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 11668.0
If we take 120 away from 121, we end up 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.

Going ahead to step 7:
If we divide 10 by 15, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 11668.0
The remainder is 10 after subtracting 0 from 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 8:
100 divided by 15 is 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 11668.06
Deduct 90 from 100 and we're left 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 9:
When dividing 100 by 15, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 11668.066
If we subtract 90 from 100, we 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.

The quotient of the division is 11668.066, and the remainder is 0.001.