935823 ÷ 16 
The aim is to understand the frequency of 16 in 935823.

Advancing to step 1:
If we divide 9 by 16, we get 0 and a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 16

Moving on to step 2:
16 goes into 93 5 times with a remainder of 13.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 80 from 93 leaves us with 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 16

Going ahead to step 3:
When dividing 135 by 16, we get 8 with a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
Deduct 128 from 135 and we're left with 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 16

On to step 4:
If we divide 78 by 16, we get 4 and a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 584.0
The remainder is 14 after subtracting 64 from 78.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 16

Advancing to step 5:
142 divided by 16 is 8 with a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 5848.0
Subtracting 128 from 142 leaves us with 14.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 16

On to step 6:
143 divided by 16 is 8 with a remainder of 15.
Use 8 as the next digit of our solution. 
Result so far: 58488.0
Subtracting 128 from 143 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 7:
150 divided by 16 is 9 with a remainder of 6.
The next digit of our result is 9. 
Result so far: 58488.9
The remainder is 6 after subtracting 144 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
If we divide 60 by 16, we get 3 and a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 58488.93
If we take 48 away from 60, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
16 can be fit into 120 7 times, resulting in a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 58488.937
The remainder is 8 after subtracting 112 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
16 goes into 80 5 times with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 58488.9375
Subtracting 80 from 80 leaves us 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:
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: 58488.9375
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.

Going ahead to step 12:
If we divide 0 by 16, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 58488.9375
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 quotient of the division is 58488.9375, and the remainder is 0.0.