Let's divide 434542 by 16
We're looking to find how many times 16 goes into 434542.

Step 1:
When dividing 4 by 16, we get 0 with 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.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 16

Advancing to step 2:
16 goes into 43 2 times with a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 32 from 43 and we're left with 11.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 16

On to step 3:
114 divided by 16 is 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 27.0
If we subtract 112 from 114, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 16

Step 4:
16 can be fit into 25 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 271.0
Subtracting 16 from 25 leaves us with 9.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 16

Step 5:
When dividing 94 by 16, we get 5 with a remainder of 14.
The number 5 becomes the next digit in our result. 
Result so far: 2715.0
Deduct 80 from 94 and we're left with 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 16

Advancing to step 6:
16 goes into 142 8 times with a remainder of 14.
The next digit of our result is 8. 
Result so far: 27158.0
If we subtract 128 from 142, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
16 goes into 140 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 27158.8
Subtract 128 from 140 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
When dividing 120 by 16, we get 7 with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 27158.87
Deduct 112 from 120 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 9:
16 goes into 80 5 times with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 27158.875
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.

Let's proceed to step 10:
16 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 27158.875
Subtract 0 from 0 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.

Step 11:
0 divided by 16 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 27158.875
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.

Our division results in 27158.875 with a remaining 0.0.