We divide 78965 by 16
The aim is to understand the frequency of 16 in 78965.

On to step 1:
If we divide 7 by 16, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 16

Step 2:
16 goes into 78 4 times with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 64 away from 78, we end up with 14.
Include the next digit (9) from the dividend after 14, then repeat: 149 / 16

Let's proceed to step 3:
149 divided by 16 is 9 with a remainder of 5.
The next digit of our result is 9. 
Result so far: 49.0
The remainder is 5 after subtracting 144 from 149.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 16

Going ahead to step 4:
When dividing 56 by 16, we get 3 with a remainder of 8.
The next digit of our result is 3. 
Result so far: 493.0
Subtract 48 from 56 to get 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 16

Going ahead to step 5:
85 divided by 16 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 4935.0
Subtract 80 from 85 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 6:
16 can be fit into 50 3 times, resulting in a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 4935.3
Deduct 48 from 50 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 7:
The number 16 fits into 20 1 times, leaving a remainder of 4.
The next digit of our result is 1. 
Result so far: 4935.31
Subtracting 16 from 20 leaves us 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:
The number 16 fits into 40 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 4935.312
If we subtract 32 from 40, we get 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 9:
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: 4935.3125
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 10:
When dividing 0 by 16, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 4935.3125
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.

Let's proceed 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: 4935.3125
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.

The final result is 4935.3125 with a remainder of 0.0.