153262 ÷ 16 
The aim is to understand the frequency of 16 in 153262.

Going ahead to step 1:
16 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 16

Going ahead to step 2:
The number 16 fits into 15 0 times, leaving a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 16

Advancing to step 3:
The number 16 fits into 153 9 times, leaving a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 144 from 153 to get 9.
Take the next digit (2) from the dividend and append it to 9, then repeat: 92 / 16

Step 4:
16 goes into 92 5 times with a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 95.0
Subtracting 80 from 92 leaves us with 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 16

Let's proceed to step 5:
16 goes into 126 7 times with a remainder of 14.
The next digit of our result is 7. 
Result so far: 957.0
If we take 112 away from 126, we end up with 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 16

Let's proceed to step 6:
16 can be fit into 142 8 times, resulting in a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 9578.0
If we take 128 away from 142, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
If we divide 140 by 16, we get 8 and a remainder of 12.
The next digit of our result is 8. 
Result so far: 9578.8
Subtract 128 from 140 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.
The next digit of our result is 7. 
Result so far: 9578.87
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.

Advancing to step 9:
When dividing 80 by 16, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 9578.875
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 10:
If we divide 0 by 16, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 9578.875
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.

Moving on to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 9578.875
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.

In conclusion, the division gives 9578.875 with a balance of 0.0.