683217 ÷ 16 
Our goal is to divide 683217 by 16.

Advancing to step 1:
When dividing 6 by 16, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 16

Advancing to step 2:
If we divide 68 by 16, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 64 from 68 leaves us with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 16

Let's proceed to step 3:
16 can be fit into 43 2 times, resulting in a remainder of 11.
The next digit of our result is 2. 
Result so far: 42.0
If we take 32 away from 43, we end up with 11.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 16

Moving on to step 4:
The number 16 fits into 112 7 times, leaving a remainder of 0.
The next digit of our result is 7. 
Result so far: 427.0
If we subtract 112 from 112, we get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 16

On to step 5:
When dividing 1 by 16, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 4270.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 16

Going ahead to step 6:
If we divide 17 by 16, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 42701.0
The remainder is 1 after subtracting 16 from 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
If we divide 10 by 16, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 42701.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
16 goes into 100 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 42701.06
The remainder is 4 after subtracting 96 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
The number 16 fits into 40 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 42701.062
Deduct 32 from 40 and we're left 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.

Going ahead to step 10:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 42701.0625
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.

Advancing to step 11:
16 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 42701.0625
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.

On to step 12:
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: 42701.0625
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.

After the division, we end up with 42701.0625 and a remainder of 0.0.