We divide 35311 by 16
The aim is to understand the frequency of 16 in 35311.

Advancing to step 1:
16 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 16

Advancing to step 2:
16 goes into 35 2 times with a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 32 from 35 and we're left with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 16

On to step 3:
33 divided by 16 is 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 22.0
If we subtract 32 from 33, we get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 16

On to step 4:
16 can be fit into 11 0 times, resulting in a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 220.0
Deduct 0 from 11 and we're left with 11.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 16

Moving on to step 5:
When dividing 111 by 16, we get 6 with a remainder of 15.
Put 6 as the next digit of the answer. 
Result so far: 2206.0
Subtract 96 from 111 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 6:
When dividing 150 by 16, we get 9 with a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 2206.9
Subtracting 144 from 150 leaves us with 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:
16 goes into 60 3 times with a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 2206.93
Subtract 48 from 60 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
When dividing 120 by 16, we get 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 2206.937
The remainder is 8 after subtracting 112 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
The number 16 fits into 80 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 2206.9375
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.

Let's proceed to step 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 2206.9375
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.

Going ahead to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 2206.9375
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.

After the division, we end up with 2206.9375 and a remainder of 0.0.