635997 ÷ 16 
The aim is to understand the frequency of 16 in 635997.

Let's proceed to step 1:
If we divide 6 by 16, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 16

Step 2:
The number 16 fits into 63 3 times, leaving a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 48 from 63 leaves us with 15.
Grab the next digit (5) from the dividend, add it to 15, then carry on: 155 / 16

On to step 3:
16 can be fit into 155 9 times, resulting in a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 39.0
Deduct 144 from 155 and we're left with 11.
Bring next digit (9) of the dividend behind the 11 and repeat the process: 119 / 16

Let's proceed to step 4:
119 divided by 16 is 7 with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 397.0
If we subtract 112 from 119, we get 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 16

On to step 5:
16 goes into 79 4 times with a remainder of 15.
The number 4 becomes the next digit in our result. 
Result so far: 3974.0
If we subtract 64 from 79, we get 15.
Fetch the next digit (7) from the dividend, attach it to 15 and continue: 157 / 16

Moving on to step 6:
If we divide 157 by 16, we get 9 and a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 39749.0
Deduct 144 from 157 and we're left 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.

On to step 7:
The number 16 fits into 130 8 times, leaving a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 39749.8
Deduct 128 from 130 and we're left with 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 8:
16 can be fit into 20 1 times, resulting in a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 39749.81
If we subtract 16 from 20, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
The number 16 fits into 40 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 39749.812
Deduct 32 from 40 and we're left 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.

Step 10:
16 can be fit into 80 5 times, resulting in a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 39749.8125
If we take 80 away from 80, 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.

On to step 11:
0 divided by 16 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 39749.8125
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.

Moving on to step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 39749.8125
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.

In conclusion, the division gives 39749.8125 with a balance of 0.0.