We look at the division of 842725 by 16 
We want to figure out the number of times 842725 can be divided by 16.

Going ahead to step 1:
8 divided by 16 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 16

Step 2:
If we divide 84 by 16, we get 5 and a remainder of 4.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 80 from 84, we get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 16

Moving on to step 3:
16 can be fit into 42 2 times, resulting in a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 52.0
Subtracting 32 from 42 leaves us with 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 16

On to step 4:
16 goes into 107 6 times with a remainder of 11.
Put 6 as the next digit of the answer. 
Result so far: 526.0
Subtracting 96 from 107 leaves us with 11.
Append the next digit (2) from the dividend to 11 and continue with: 112 / 16

Moving on to step 5:
The number 16 fits into 112 7 times, leaving a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 5267.0
Subtract 112 from 112 to get 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 16

Moving on to step 6:
16 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 52670.0
Deduct 0 from 5 and we're left 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.

On to step 7:
If we divide 50 by 16, we get 3 and a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 52670.3
If we take 48 away from 50, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
The number 16 fits into 20 1 times, leaving a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 52670.31
Subtract 16 from 20 to 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.

Going ahead to step 9:
16 goes into 40 2 times with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 52670.312
Subtracting 32 from 40 leaves us 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.

Step 10:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 52670.3125
If we subtract 80 from 80, 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.

Advancing to 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: 52670.3125
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 12:
16 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 52670.3125
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.

The quotient of the division is 52670.3125, and the remainder is 0.0.