We're dividing 157416 by 16 
The aim is to understand the frequency of 16 in 157416.

Moving on to step 1:
1 divided by 16 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 16

Advancing to step 2:
16 can be fit into 15 0 times, resulting in a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 16

Advancing to step 3:
16 can be fit into 157 9 times, resulting in a remainder of 13.
The next digit of our result is 9. 
Result so far: 9.0
If we take 144 away from 157, we end up with 13.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 16

Let's proceed to step 4:
16 goes into 134 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 98.0
If we take 128 away from 134, we end up with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 16

Advancing to step 5:
61 divided by 16 is 3 with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 983.0
The remainder is 13 after subtracting 48 from 61.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 16

Step 6:
136 divided by 16 is 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 9838.0
If we take 128 away from 136, we end up 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 7:
The number 16 fits into 80 5 times, leaving a remainder of 0.
The next digit of our result is 5. 
Result so far: 9838.5
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.

Advancing to step 8:
16 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 9838.5
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.

Step 9:
16 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 9838.5
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.

In conclusion, the division gives 9838.5 with a balance of 0.0.