382853 divided by 16 
The aim is to understand the frequency of 16 in 382853.

Let's proceed to step 1:
If we divide 3 by 16, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 16

On to step 2:
If we divide 38 by 16, we get 2 and a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 6 after subtracting 32 from 38.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 16

Moving on to step 3:
16 goes into 62 3 times with a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 23.0
Subtract 48 from 62 to get 14.
Bring next digit (8) of the dividend behind the 14 and repeat the process: 148 / 16

On to step 4:
When dividing 148 by 16, we get 9 with a remainder of 4.
The next digit of our result is 9. 
Result so far: 239.0
Subtracting 144 from 148 leaves us with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 16

Moving on to step 5:
16 can be fit into 45 2 times, resulting in a remainder of 13.
The next digit of our result is 2. 
Result so far: 2392.0
Deduct 32 from 45 and we're left with 13.
Take the next digit (3) from the dividend and append it to 13, then repeat: 133 / 16

Step 6:
The number 16 fits into 133 8 times, leaving a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 23928.0
Deduct 128 from 133 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
50 divided by 16 is 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 23928.3
The remainder is 2 after subtracting 48 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
If we divide 20 by 16, we get 1 and a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 23928.31
If we subtract 16 from 20, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
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: 23928.312
Subtract 32 from 40 to get 8.
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 10:
When dividing 80 by 16, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 23928.3125
Deduct 80 from 80 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.

Going ahead to step 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 23928.3125
Subtract 0 from 0 to get 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 12:
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: 23928.3125
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 23928.3125 and a remainder of 0.0.