We look at the division of 674566 by 16 
We want to figure out the number of times 674566 can be divided by 16.

Let's proceed to step 1:
6 divided by 16 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 16

Advancing to step 2:
16 goes into 67 4 times with a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 64 from 67, we get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 16

Going ahead to step 3:
34 divided by 16 is 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 42.0
Subtract 32 from 34 to get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 16

Step 4:
The number 16 fits into 25 1 times, leaving a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 421.0
Subtract 16 from 25 to get 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 16

On to step 5:
16 goes into 96 6 times with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 4216.0
If we take 96 away from 96, we end up with 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 16

Advancing to step 6:
16 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 42160.0
Subtracting 0 from 6 leaves us 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.

Let's proceed to step 7:
16 can be fit into 60 3 times, resulting in a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 42160.3
Deduct 48 from 60 and we're left 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.

Moving on to step 8:
16 can be fit into 120 7 times, resulting in a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 42160.37
Subtracting 112 from 120 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.

Let's proceed to step 9:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 42160.375
If we take 80 away from 80, 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.

Step 10:
If we divide 0 by 16, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 42160.375
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.

Going ahead to step 11:
0 divided by 16 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 42160.375
Subtract 0 from 0 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.

Our division results in 42160.375 with a remaining 0.0.