425642 divided by 16 
Our goal is to divide 425642 by 16.

On to step 1:
If we divide 4 by 16, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 16

On to step 2:
42 divided by 16 is 2 with a remainder of 10.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 32 from 42 and we're left with 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 16

Moving on to step 3:
If we divide 105 by 16, we get 6 and a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 26.0
If we take 96 away from 105, we end up with 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 16

Let's proceed to step 4:
When dividing 96 by 16, we get 6 with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 266.0
The remainder is 0 after subtracting 96 from 96.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 16

Advancing to step 5:
4 divided by 16 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 2660.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 16

Going ahead to step 6:
If we divide 42 by 16, we get 2 and a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 26602.0
Subtracting 32 from 42 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
When dividing 100 by 16, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 26602.6
If we take 96 away from 100, we end up 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.

Moving on to step 8:
16 goes into 40 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 26602.62
The remainder is 8 after subtracting 32 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
16 can be fit into 80 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 26602.625
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.

Step 10:
16 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 26602.625
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.

Going ahead to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 26602.625
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.

Our division results in 26602.625 with a remaining 0.0.