We're dividing 251625 by 16 
The aim is to understand the frequency of 16 in 251625.

Step 1:
16 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 16

Going ahead to step 2:
When dividing 25 by 16, we get 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 16 from 25, we get 9.
Fetch the next digit (1) from the dividend, attach it to 9 and continue: 91 / 16

Step 3:
The number 16 fits into 91 5 times, leaving a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we take 80 away from 91, we end up with 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 16

Advancing to step 4:
16 can be fit into 116 7 times, resulting in a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 157.0
If we take 112 away from 116, we end up with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 16

Going ahead to step 5:
When dividing 42 by 16, we get 2 with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 1572.0
Subtract 32 from 42 to get 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 16

Step 6:
105 divided by 16 is 6 with a remainder of 9.
The next digit of our result is 6. 
Result so far: 15726.0
Subtract 96 from 105 to get 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:
16 goes into 90 5 times with a remainder of 10.
The next digit of our result is 5. 
Result so far: 15726.5
If we take 80 away from 90, we end up 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.

Moving on to step 8:
100 divided by 16 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 15726.56
Subtract 96 from 100 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
16 goes into 40 2 times with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 15726.562
Deduct 32 from 40 and we're left 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.

On to step 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 15726.5625
Subtract 80 from 80 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.
Write down 0 as next digit of the result. 
Result so far: 15726.5625
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.

Let's proceed to step 12:
16 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 15726.5625
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.

In conclusion, the division gives 15726.5625 with a balance of 0.0.