Let's divide 419859 by 16
The aim is to understand the frequency of 16 in 419859.

On to step 1:
If we divide 4 by 16, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 16

Step 2:
When dividing 41 by 16, we get 2 with a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 32 away from 41, we end up with 9.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 16

Going ahead to step 3:
16 can be fit into 99 6 times, resulting in a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
Subtract 96 from 99 to get 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 16

Let's proceed to step 4:
16 goes into 38 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 262.0
Subtract 32 from 38 to get 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 16

Advancing to step 5:
The number 16 fits into 65 4 times, leaving a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 2624.0
The remainder is 1 after subtracting 64 from 65.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 16

Moving on to step 6:
If we divide 19 by 16, we get 1 and a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 26241.0
Subtract 16 from 19 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
If we divide 30 by 16, we get 1 and a remainder of 14.
The next digit of our result is 1. 
Result so far: 26241.1
Subtracting 16 from 30 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
If we divide 140 by 16, we get 8 and a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 26241.18
If we take 128 away from 140, 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.

Advancing to step 9:
16 can be fit into 120 7 times, resulting in a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 26241.187
If we take 112 away from 120, we end up 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: 26241.1875
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.

Step 11:
0 divided by 16 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 26241.1875
If we subtract 0 from 0, we 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.

On to step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 26241.1875
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.

The final result is 26241.1875 with a remainder of 0.0.