434213 ÷ 16 
We're looking to find how many times 16 goes into 434213.

Going ahead to step 1:
16 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 16

Moving on to step 2:
16 can be fit into 43 2 times, resulting in a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 11 after subtracting 32 from 43.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 16

Step 3:
16 can be fit into 114 7 times, resulting in a remainder of 2.
The next digit of our result is 7. 
Result so far: 27.0
If we subtract 112 from 114, we get 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 16

On to step 4:
22 divided by 16 is 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 271.0
Subtract 16 from 22 to get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 16

Advancing to step 5:
The number 16 fits into 61 3 times, leaving a remainder of 13.
The next digit of our result is 3. 
Result so far: 2713.0
Subtracting 48 from 61 leaves us with 13.
Include the next digit (3) from the dividend after 13, then repeat: 133 / 16

Let's proceed to step 6:
The number 16 fits into 133 8 times, leaving a remainder of 5.
The next digit of our result is 8. 
Result so far: 27138.0
Subtracting 128 from 133 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
50 divided by 16 is 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 27138.3
The remainder is 2 after subtracting 48 from 50.
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:
20 divided by 16 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 27138.31
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.

Going ahead to step 9:
16 goes into 40 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 27138.312
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.

On to step 10:
80 divided by 16 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 27138.3125
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.

Step 11:
16 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 27138.3125
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.

Going ahead to step 12:
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: 27138.3125
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.

Our division results in 27138.3125 with a remaining 0.0.