31709 divided by 16 
The aim is to understand the frequency of 16 in 31709.

On to step 1:
16 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 16

On to step 2:
31 divided by 16 is 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 16 from 31, we get 15.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 16

Step 3:
16 can be fit into 157 9 times, resulting in a remainder of 13.
Put 9 as the next digit of the answer. 
Result so far: 19.0
The remainder is 13 after subtracting 144 from 157.
Include the next digit (0) from the dividend after 13, then repeat: 130 / 16

Let's proceed to step 4:
16 goes into 130 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 198.0
Subtracting 128 from 130 leaves us with 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 16

Going ahead to step 5:
When dividing 29 by 16, we get 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1981.0
Subtracting 16 from 29 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 6:
16 can be fit into 130 8 times, resulting in a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 1981.8
Subtract 128 from 130 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
16 can be fit into 20 1 times, resulting in a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1981.81
Deduct 16 from 20 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.

Going ahead to step 8:
If we divide 40 by 16, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 1981.812
If we take 32 away from 40, 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.

Moving on to step 9:
80 divided by 16 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 1981.8125
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.

Step 10:
If we divide 0 by 16, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 1981.8125
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.

On to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1981.8125
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 1981.8125 with a balance of 0.0.