We look at the division of 729679 by 16 
Our goal is to divide 729679 by 16.

Step 1:
If we divide 7 by 16, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 16

Let's proceed to step 2:
16 goes into 72 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 64 from 72, we get 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 16

Moving on to step 3:
16 goes into 89 5 times with a remainder of 9.
Write down 5 as next digit of the result. 
Result so far: 45.0
Subtract 80 from 89 to get 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 16

Let's proceed to step 4:
16 goes into 96 6 times with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 456.0
If we take 96 away from 96, we end up with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 16

Advancing to step 5:
When dividing 7 by 16, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 4560.0
If we subtract 0 from 7, we get 7.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 16

Let's proceed to step 6:
16 goes into 79 4 times with a remainder of 15.
Write down 4 as next digit of the result. 
Result so far: 45604.0
Deduct 64 from 79 and we're left 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:
If we divide 150 by 16, we get 9 and a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 45604.9
If we subtract 144 from 150, we get 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 8:
16 goes into 60 3 times with a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 45604.93
Subtracting 48 from 60 leaves us 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.

Going ahead to step 9:
When dividing 120 by 16, we get 7 with a remainder of 8.
The next digit of our result is 7. 
Result so far: 45604.937
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.

Let's proceed to step 10:
The number 16 fits into 80 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 45604.9375
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 11:
0 divided by 16 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 45604.9375
Deduct 0 from 0 and we're left 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.

Advancing to 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: 45604.9375
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.

The quotient of the division is 45604.9375, and the remainder is 0.0.