We look at the division of 842838 by 16 
We want to figure out the number of times 842838 can be divided by 16.

Advancing to step 1:
16 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 16

On to step 2:
If we divide 84 by 16, we get 5 and a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 80 from 84 to get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 16

Moving on to step 3:
The number 16 fits into 42 2 times, leaving a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 52.0
If we subtract 32 from 42, we get 10.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 16

Going ahead to step 4:
16 can be fit into 108 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 526.0
Subtract 96 from 108 to get 12.
Include the next digit (3) from the dividend after 12, then repeat: 123 / 16

Going ahead to step 5:
If we divide 123 by 16, we get 7 and a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 5267.0
Subtracting 112 from 123 leaves us with 11.
Bring next digit (8) of the dividend behind the 11 and repeat the process: 118 / 16

Advancing to step 6:
If we divide 118 by 16, we get 7 and a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 52677.0
If we take 112 away from 118, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
16 goes into 60 3 times with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 52677.3
If we take 48 away from 60, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
120 divided by 16 is 7 with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 52677.37
If we take 112 away from 120, 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 9:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 52677.375
Deduct 80 from 80 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.

Advancing 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: 52677.375
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.

Moving on to step 11:
16 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 52677.375
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.

After the division, we end up with 52677.375 and a remainder of 0.0.