We look at the division of 642725 by 16 
We want to divide 642725 by 16.

Step 1:
If we divide 6 by 16, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 16

Moving on to step 2:
16 can be fit into 64 4 times, resulting in a remainder of 0.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 64 from 64 and we're left with 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 16

Step 3:
If we divide 2 by 16, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 40.0
Subtract 0 from 2 to get 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 16

Going ahead to step 4:
27 divided by 16 is 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 401.0
Subtract 16 from 27 to get 11.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 16

On to step 5:
If we divide 112 by 16, we get 7 and a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 4017.0
Subtract 112 from 112 to get 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 16

Advancing to step 6:
When dividing 5 by 16, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 40170.0
Subtracting 0 from 5 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.

Let's proceed to step 7:
16 goes into 50 3 times with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 40170.3
Deduct 48 from 50 and we're left 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:
16 goes into 20 1 times with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 40170.31
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: 40170.312
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.

Step 10:
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: 40170.3125
Subtracting 80 from 80 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.

Let's proceed to step 11:
0 divided by 16 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 40170.3125
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.

Moving on to step 12:
0 divided by 16 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 40170.3125
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.

In conclusion, the division gives 40170.3125 with a balance of 0.0.