Let's divide 414212 by 16
We want to divide 414212 by 16.

Advancing to step 1:
4 divided by 16 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 16

On to step 2:
41 divided by 16 is 2 with a remainder of 9.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 32 from 41 to get 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 16

On to step 3:
If we divide 94 by 16, we get 5 and a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
If we subtract 80 from 94, we get 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 16

Going ahead to step 4:
When dividing 142 by 16, we get 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 258.0
Subtract 128 from 142 to get 14.
Take the next digit (1) from the dividend and append it to 14, then repeat: 141 / 16

Advancing to step 5:
16 can be fit into 141 8 times, resulting in a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 2588.0
Subtract 128 from 141 to get 13.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 16

Step 6:
If we divide 132 by 16, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 25888.0
Subtracting 128 from 132 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.

Advancing to step 7:
16 can be fit into 40 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 25888.2
If we subtract 32 from 40, we get 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 8:
When dividing 80 by 16, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 25888.25
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.

On to step 9:
0 divided by 16 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 25888.25
If we subtract 0 from 0, we 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.

Going ahead to step 10:
0 divided by 16 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 25888.25
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.

The final outcome is 25888.25, with a leftover of 0.0.