We're dividing 729663 by 16 
We're looking to find how many times 16 goes into 729663.

Going ahead to step 1:
If we divide 7 by 16, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 16

Going ahead to step 2:
16 can be fit into 72 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 64 from 72 to get 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 16

Step 3:
89 divided by 16 is 5 with a remainder of 9.
Use 5 as the next digit of our solution. 
Result so far: 45.0
Subtracting 80 from 89 leaves us with 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 16

Advancing to step 4:
96 divided by 16 is 6 with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 456.0
The remainder is 0 after subtracting 96 from 96.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 16

Moving on to step 5:
6 divided by 16 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 4560.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 16

Let's proceed to step 6:
If we divide 63 by 16, we get 3 and a remainder of 15.
The next digit of our result is 3. 
Result so far: 45603.0
If we take 48 away from 63, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 7:
16 can be fit into 150 9 times, resulting in a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 45603.9
The remainder is 6 after subtracting 144 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
When dividing 60 by 16, we get 3 with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 45603.93
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.

Step 9:
The number 16 fits into 120 7 times, leaving a remainder of 8.
The next digit of our result is 7. 
Result so far: 45603.937
Deduct 112 from 120 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.

On to step 10:
The number 16 fits into 80 5 times, leaving a remainder of 0.
The next digit of our result is 5. 
Result so far: 45603.9375
The remainder is 0 after subtracting 80 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 45603.9375
If we subtract 0 from 0, 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.

On to step 12:
0 divided by 16 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 45603.9375
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.

After the division, we end up with 45603.9375 and a remainder of 0.0.