We're dividing 905577 by 16 
The aim is to understand the frequency of 16 in 905577.

Advancing to step 1:
When dividing 9 by 16, we get 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 16

Going ahead to step 2:
16 goes into 90 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 80 from 90, we get 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 16

Step 3:
105 divided by 16 is 6 with a remainder of 9.
Use 6 as the next digit of our solution. 
Result so far: 56.0
If we take 96 away from 105, we end up with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 16

On to step 4:
16 can be fit into 95 5 times, resulting in a remainder of 15.
The next digit of our result is 5. 
Result so far: 565.0
Deduct 80 from 95 and we're left with 15.
Fetch the next digit (7) from the dividend, attach it to 15 and continue: 157 / 16

Let's proceed to step 5:
The number 16 fits into 157 9 times, leaving a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 5659.0
Subtracting 144 from 157 leaves us with 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 16

On to step 6:
The number 16 fits into 137 8 times, leaving a remainder of 9.
The next digit of our result is 8. 
Result so far: 56598.0
Subtracting 128 from 137 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
When dividing 90 by 16, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 56598.5
If we subtract 80 from 90, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
When dividing 100 by 16, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 56598.56
Deduct 96 from 100 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.

Step 9:
When dividing 40 by 16, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 56598.562
Subtracting 32 from 40 leaves us 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.

Advancing to step 10:
16 goes into 80 5 times with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 56598.5625
If we subtract 80 from 80, 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.

On to step 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 56598.5625
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.

Let's proceed to step 12:
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: 56598.5625
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.

The final result is 56598.5625 with a remainder of 0.0.