501005 ÷ 16 
We want to figure out the number of times 501005 can be divided by 16.

On to step 1:
16 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 16

Advancing to step 2:
The number 16 fits into 50 3 times, leaving a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 48 from 50 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 16

Step 3:
If we divide 21 by 16, we get 1 and a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 31.0
Deduct 16 from 21 and we're left with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 16

On to step 4:
50 divided by 16 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 313.0
If we subtract 48 from 50, we get 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 16

Moving on to step 5:
When dividing 20 by 16, we get 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 3131.0
Subtract 16 from 20 to get 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 16

Moving on to step 6:
16 goes into 45 2 times with a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 31312.0
Deduct 32 from 45 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
When dividing 130 by 16, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 31312.8
If we subtract 128 from 130, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
16 can be fit into 20 1 times, resulting in a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 31312.81
Deduct 16 from 20 and we're left 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.

Advancing to step 9:
40 divided by 16 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 31312.812
Subtract 32 from 40 to get 8.
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 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 31312.8125
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.

Let's proceed to step 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 31312.8125
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.

On to step 12:
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: 31312.8125
The remainder is 0 after subtracting 0 from 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 31312.8125 with a remaining 0.0.