We're dividing 820257 by 16 
We want to figure out the number of times 820257 can be divided by 16.

Going ahead to step 1:
When dividing 8 by 16, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 16

Step 2:
16 goes into 82 5 times with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 80 from 82, we get 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 16

Going ahead to step 3:
16 goes into 20 1 times with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
Subtract 16 from 20 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 16

Moving on to step 4:
When dividing 42 by 16, we get 2 with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 512.0
Subtract 32 from 42 to get 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 16

Going ahead to step 5:
16 can be fit into 105 6 times, resulting in a remainder of 9.
The next digit of our result is 6. 
Result so far: 5126.0
Deduct 96 from 105 and we're left with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 16

Step 6:
If we divide 97 by 16, we get 6 and a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 51266.0
The remainder is 1 after subtracting 96 from 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
16 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 51266.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
16 goes into 100 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 51266.06
Subtract 96 from 100 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.

Moving on to step 9:
When dividing 40 by 16, we get 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 51266.062
If we subtract 32 from 40, we 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.

On to step 10:
16 goes into 80 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 51266.0625
Subtract 80 from 80 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 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 51266.0625
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.

Step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 51266.0625
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.

The quotient of the division is 51266.0625, and the remainder is 0.0.