435893 divided by 16 
The aim is to understand the frequency of 16 in 435893.

On to step 1:
4 divided by 16 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 16

On to step 2:
The number 16 fits into 43 2 times, leaving a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 32 from 43 to get 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 16

Step 3:
The number 16 fits into 115 7 times, leaving a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 27.0
Deduct 112 from 115 and we're left with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 16

Let's proceed to step 4:
The number 16 fits into 38 2 times, leaving a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 272.0
Subtract 32 from 38 to get 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 16

On to step 5:
When dividing 69 by 16, we get 4 with a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 2724.0
If we take 64 away from 69, we end up with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 16

Let's proceed to step 6:
When dividing 53 by 16, we get 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 27243.0
If we take 48 away from 53, we end up 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.

Going ahead to step 7:
When dividing 50 by 16, we get 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 27243.3
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.

Advancing to step 8:
16 can be fit into 20 1 times, resulting in a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 27243.31
If we take 16 away from 20, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
When dividing 40 by 16, we get 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 27243.312
Subtracting 32 from 40 leaves us with 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:
80 divided by 16 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 27243.3125
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.

Let's proceed to step 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 27243.3125
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.

Going ahead to step 12:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 27243.3125
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.

In conclusion, the division gives 27243.3125 with a balance of 0.0.