417919 divided by 16 
The aim is to understand the frequency of 16 in 417919.

Let's proceed to step 1:
16 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 16

Moving on to step 2:
When dividing 41 by 16, we get 2 with a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 32 from 41 and we're left with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 16

Going ahead to step 3:
When dividing 97 by 16, we get 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 26.0
Deduct 96 from 97 and we're left with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 16

Step 4:
16 goes into 19 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 261.0
Subtracting 16 from 19 leaves us with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 16

Going ahead to step 5:
16 can be fit into 31 1 times, resulting in a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 2611.0
The remainder is 15 after subtracting 16 from 31.
Bring next digit (9) of the dividend behind the 15 and repeat the process: 159 / 16

On to step 6:
When dividing 159 by 16, we get 9 with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 26119.0
Subtracting 144 from 159 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.

On to step 7:
150 divided by 16 is 9 with a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 26119.9
If we take 144 away from 150, we end up with 6.
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:
When dividing 60 by 16, we get 3 with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 26119.93
Subtract 48 from 60 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
When dividing 120 by 16, we get 7 with a remainder of 8.
The next digit of our result is 7. 
Result so far: 26119.937
Subtracting 112 from 120 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.

Moving on to step 10:
When dividing 80 by 16, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 26119.9375
The remainder is 0 after subtracting 80 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 26119.9375
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.

Going ahead to step 12:
0 divided by 16 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 26119.9375
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.

In conclusion, the division gives 26119.9375 with a balance of 0.0.