97770 divided by 16 
The aim is to understand the frequency of 16 in 97770.

Advancing to step 1:
16 goes into 9 0 times with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 16

Advancing to step 2:
97 divided by 16 is 6 with a remainder of 1.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 96 from 97 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 16

Let's proceed to step 3:
17 divided by 16 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 61.0
If we take 16 away from 17, we end up with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 16

Going ahead to step 4:
16 goes into 17 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 611.0
If we subtract 16 from 17, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 16

Advancing to step 5:
16 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 6110.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 6:
If we divide 100 by 16, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 6110.6
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.

On to step 7:
When dividing 40 by 16, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 6110.62
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.

Moving on to step 8:
80 divided by 16 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 6110.625
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 9:
When dividing 0 by 16, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 6110.625
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 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 6110.625
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.

After the division, we end up with 6110.625 and a remainder of 0.0.