133419 ÷ 16 
The aim is to understand the frequency of 16 in 133419.

Let's proceed to step 1:
If we divide 1 by 16, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 16

Moving on to step 2:
13 divided by 16 is 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Take the next digit (3) from the dividend and append it to 13, then repeat: 133 / 16

Going ahead to step 3:
133 divided by 16 is 8 with a remainder of 5.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 128 from 133, we get 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 16

Moving on to step 4:
16 goes into 54 3 times with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 83.0
The remainder is 6 after subtracting 48 from 54.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 16

Going ahead to step 5:
The number 16 fits into 61 3 times, leaving a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 833.0
If we subtract 48 from 61, we get 13.
Include the next digit (9) from the dividend after 13, then repeat: 139 / 16

Let's proceed to step 6:
16 goes into 139 8 times with a remainder of 11.
Use 8 as the next digit of our solution. 
Result so far: 8338.0
Subtract 128 from 139 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
110 divided by 16 is 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 8338.6
Subtracting 96 from 110 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.

Let's proceed to step 8:
140 divided by 16 is 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 8338.68
The remainder is 12 after subtracting 128 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
The number 16 fits into 120 7 times, leaving a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 8338.687
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.

Going ahead to step 10:
16 goes into 80 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 8338.6875
Subtract 80 from 80 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.

Moving on to step 11:
16 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 8338.6875
Subtracting 0 from 0 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.

Let's proceed to step 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 8338.6875
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 8338.6875 with a remainder of 0.0.