We look at the division of 434042 by 16 
We want to figure out the number of times 434042 can be divided by 16.

Let's proceed to step 1:
If we divide 4 by 16, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 16

Step 2:
16 goes into 43 2 times with a remainder of 11.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 32 from 43 and we're left with 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 16

Moving on to step 3:
If we divide 114 by 16, we get 7 and a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 27.0
If we take 112 away from 114, we end up with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 16

On to step 4:
20 divided by 16 is 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 271.0
Subtract 16 from 20 to get 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 16

Moving on to step 5:
16 can be fit into 44 2 times, resulting in a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 2712.0
If we subtract 32 from 44, we get 12.
Fetch the next digit (2) from the dividend, attach it to 12 and continue: 122 / 16

Moving on to step 6:
122 divided by 16 is 7 with a remainder of 10.
Put 7 as the next digit of the answer. 
Result so far: 27127.0
Deduct 112 from 122 and we're left with 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 7:
16 goes into 100 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 27127.6
Subtract 96 from 100 to 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.

Let's proceed to step 8:
40 divided by 16 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 27127.62
Subtracting 32 from 40 leaves us 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 9:
80 divided by 16 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 27127.625
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.

Advancing to step 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 27127.625
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.

Let's proceed to step 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 27127.625
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 quotient of the division is 27127.625, and the remainder is 0.0.