129610 ÷ 16 
The aim is to understand the frequency of 16 in 129610.

On to step 1:
If we divide 1 by 16, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 16

Advancing to step 2:
The number 16 fits into 12 0 times, leaving a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 16

Going ahead to step 3:
16 goes into 129 8 times with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 128 from 129, we get 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 16

On to step 4:
If we divide 16 by 16, we get 1 and a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 81.0
Subtracting 16 from 16 leaves us with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 16

On to step 5:
If we divide 1 by 16, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 810.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 16

Let's proceed to step 6:
If we divide 10 by 16, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 8100.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
16 can be fit into 100 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 8100.6
Deduct 96 from 100 and we're left 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 8:
The number 16 fits into 40 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 8100.62
The remainder is 8 after subtracting 32 from 40.
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:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 8100.625
Deduct 80 from 80 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 10:
If we divide 0 by 16, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 8100.625
Subtract 0 from 0 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.

Step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 8100.625
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 final outcome is 8100.625, with a leftover of 0.0.