422429 ÷ 16 
The aim is to understand the frequency of 16 in 422429.

Going ahead to step 1:
The number 16 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 16

On to step 2:
16 can be fit into 42 2 times, resulting in a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 32 from 42 to get 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 16

Going ahead to step 3:
If we divide 102 by 16, we get 6 and a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
Subtract 96 from 102 to get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 16

Moving on to step 4:
If we divide 64 by 16, we get 4 and a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 264.0
If we subtract 64 from 64, we get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 16

Step 5:
16 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 2640.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 16

On to step 6:
The number 16 fits into 29 1 times, leaving a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 26401.0
Subtracting 16 from 29 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
If we divide 130 by 16, we get 8 and a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 26401.8
If we take 128 away from 130, 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.

Going ahead to step 8:
The number 16 fits into 20 1 times, leaving a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 26401.81
Subtracting 16 from 20 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
If we divide 40 by 16, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 26401.812
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.

Let's proceed to step 10:
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: 26401.8125
The remainder is 0 after subtracting 80 from 80.
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 11:
16 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 26401.8125
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.

Going ahead 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: 26401.8125
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.

The quotient of the division is 26401.8125, and the remainder is 0.0.