242291 ÷ 16 
The aim is to understand the frequency of 16 in 242291.

Going ahead to step 1:
When dividing 2 by 16, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 16

Moving on to step 2:
When dividing 24 by 16, we get 1 with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 16 from 24, we get 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 16

Step 3:
The number 16 fits into 82 5 times, leaving a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtracting 80 from 82 leaves us with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 16

On to step 4:
16 can be fit into 22 1 times, resulting in a remainder of 6.
The next digit of our result is 1. 
Result so far: 151.0
The remainder is 6 after subtracting 16 from 22.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 16

On to step 5:
If we divide 69 by 16, we get 4 and a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 1514.0
If we take 64 away from 69, we end up with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 16

On to step 6:
The number 16 fits into 51 3 times, leaving a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 15143.0
Subtracting 48 from 51 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
16 goes into 30 1 times with a remainder of 14.
The next digit of our result is 1. 
Result so far: 15143.1
Subtracting 16 from 30 leaves us 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.

Let's proceed to step 8:
16 can be fit into 140 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 15143.18
If we take 128 away from 140, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
16 goes into 120 7 times with a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 15143.187
If we subtract 112 from 120, we get 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:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 15143.1875
Subtracting 80 from 80 leaves us 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.

Going ahead to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 15143.1875
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.

On to step 12:
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: 15143.1875
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.

The final result is 15143.1875 with a remainder of 0.0.