5842 divided by 16 
The aim is to understand the frequency of 16 in 5842.

Let's proceed to step 1:
5 divided by 16 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 16

Let's proceed to step 2:
16 goes into 58 3 times with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 48 away from 58, we end up with 10.
Append the next digit (4) from the dividend to 10 and continue with: 104 / 16

Step 3:
If we divide 104 by 16, we get 6 and a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 36.0
If we take 96 away from 104, we end up with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 16

Moving on to step 4:
The number 16 fits into 82 5 times, leaving a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 365.0
If we take 80 away from 82, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 5:
If we divide 20 by 16, we get 1 and a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 365.1
If we subtract 16 from 20, we 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 6:
When dividing 40 by 16, we get 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 365.12
If we subtract 32 from 40, 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.

Let's proceed to step 7:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 365.125
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.

Moving on 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: 365.125
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.

Going ahead to step 9:
When dividing 0 by 16, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 365.125
Subtracting 0 from 0 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.

The final outcome is 365.125, with a leftover of 0.0.