Let's divide 419042 by 16
Our goal is to divide 419042 by 16.

Advancing to step 1:
If we divide 4 by 16, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 16

Step 2:
16 goes into 41 2 times with a remainder of 9.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 9 after subtracting 32 from 41.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 16

Moving on to step 3:
If we divide 99 by 16, we get 6 and a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 26.0
Subtracting 96 from 99 leaves us with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 16

Advancing to step 4:
The number 16 fits into 30 1 times, leaving a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 261.0
Deduct 16 from 30 and we're left with 14.
Grab the next digit (4) from the dividend, add it to 14, then carry on: 144 / 16

On to step 5:
The number 16 fits into 144 9 times, leaving a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 2619.0
The remainder is 0 after subtracting 144 from 144.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 16

Moving on to step 6:
16 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 26190.0
Subtract 0 from 2 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
20 divided by 16 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 26190.1
If we subtract 16 from 20, we 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.

On to step 8:
16 goes into 40 2 times with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 26190.12
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 9:
When dividing 80 by 16, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 26190.125
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:
0 divided by 16 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 26190.125
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.

Let's proceed to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 26190.125
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.

The final result is 26190.125 with a remainder of 0.0.