517110 ÷ 16 
The aim is to understand the frequency of 16 in 517110.

Moving on to step 1:
The number 16 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 16

Advancing to step 2:
The number 16 fits into 51 3 times, leaving a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 48 from 51 to get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 16

Moving on to step 3:
16 can be fit into 37 2 times, resulting in a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 32.0
If we subtract 32 from 37, we get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 16

Let's proceed to step 4:
16 goes into 51 3 times with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 323.0
Subtract 48 from 51 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 16

Moving on to step 5:
The number 16 fits into 31 1 times, leaving a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 3231.0
Subtracting 16 from 31 leaves us with 15.
Bring next digit (0) of the dividend behind the 15 and repeat the process: 150 / 16

Step 6:
The number 16 fits into 150 9 times, leaving a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 32319.0
If we subtract 144 from 150, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
When dividing 60 by 16, we get 3 with a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 32319.3
The remainder is 12 after subtracting 48 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
If we divide 120 by 16, we get 7 and a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 32319.37
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.

Advancing to step 9:
16 goes into 80 5 times with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 32319.375
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 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 32319.375
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.

Let's proceed to step 11:
16 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 32319.375
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.

The quotient of the division is 32319.375, and the remainder is 0.0.