We look at the division of 136971 by 16 
The aim is to understand the frequency of 16 in 136971.

On to step 1:
1 divided by 16 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 16

Going ahead to step 2:
When dividing 13 by 16, we get 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 16

Going ahead to step 3:
If we divide 136 by 16, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 128 from 136 to get 8.
Bring next digit (9) of the dividend behind the 8 and repeat the process: 89 / 16

On to step 4:
16 can be fit into 89 5 times, resulting in a remainder of 9.
The next digit of our result is 5. 
Result so far: 85.0
The remainder is 9 after subtracting 80 from 89.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 16

On to step 5:
When dividing 97 by 16, we get 6 with a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 856.0
If we subtract 96 from 97, we get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 16

On to step 6:
When dividing 11 by 16, we get 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 8560.0
If we take 0 away from 11, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
16 goes into 110 6 times with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 8560.6
The remainder is 14 after subtracting 96 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead 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: 8560.68
Deduct 128 from 140 and we're left 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.

Going ahead to step 9:
16 goes into 120 7 times with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 8560.687
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.

Let's proceed to step 10:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 8560.6875
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.

On to step 11:
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: 8560.6875
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 12:
0 divided by 16 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 8560.6875
The remainder is 0 after subtracting 0 from 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 8560.6875 with a balance of 0.0.