We divide 4281641 by 16
The aim is to understand the frequency of 16 in 4281641.

Let's proceed to step 1:
When dividing 4 by 16, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 16

Let's proceed to step 2:
When dividing 42 by 16, we get 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 32 from 42 and we're left with 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 16

Advancing to step 3:
The number 16 fits into 108 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
Subtracting 96 from 108 leaves us with 12.
Append the next digit (1) from the dividend to 12 and continue with: 121 / 16

Step 4:
16 goes into 121 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 267.0
Subtracting 112 from 121 leaves us with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 16

Moving on to step 5:
96 divided by 16 is 6 with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 2676.0
If we subtract 96 from 96, we get 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 16

Going ahead to step 6:
If we divide 4 by 16, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 26760.0
If we take 0 away from 4, we end up with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 16

Let's proceed to step 7:
The number 16 fits into 41 2 times, leaving a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 267602.0
If we take 32 away from 41, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
If we divide 90 by 16, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 267602.5
Subtract 80 from 90 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
The number 16 fits into 100 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 267602.56
The remainder is 4 after subtracting 96 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
40 divided by 16 is 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 267602.562
If we take 32 away from 40, 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 11:
The number 16 fits into 80 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 267602.5625
If we take 80 away from 80, 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.

Let's proceed to step 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 267602.5625
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.

Step 13:
0 divided by 16 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 267602.5625
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.

The final outcome is 267602.5625, with a leftover of 0.0.