We're dividing 172338 by 16 
The aim is to understand the frequency of 16 in 172338.

Step 1:
When dividing 1 by 16, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 16

Let's proceed to step 2:
If we divide 17 by 16, we get 1 and a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 1 after subtracting 16 from 17.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 16

Going ahead to step 3:
12 divided by 16 is 0 with a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 12 after subtracting 0 from 12.
Append the next digit (3) from the dividend to 12 and continue with: 123 / 16

Let's proceed to step 4:
If we divide 123 by 16, we get 7 and a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 107.0
If we take 112 away from 123, we end up with 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 16

Step 5:
113 divided by 16 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 1077.0
Deduct 112 from 113 and we're left with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 16

Moving on to step 6:
16 can be fit into 18 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 10771.0
Subtract 16 from 18 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
When dividing 20 by 16, we get 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 10771.1
The remainder is 4 after subtracting 16 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
16 can be fit into 40 2 times, resulting in a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 10771.12
The remainder is 8 after subtracting 32 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
The number 16 fits into 80 5 times, leaving a remainder of 0.
The next digit of our result is 5. 
Result so far: 10771.125
If we take 80 away from 80, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 10771.125
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 11:
16 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10771.125
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 10771.125 with a remainder of 0.0.