742721 divided by 16 
We want to figure out the number of times 742721 can be divided by 16.

Going ahead to step 1:
16 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 16

Moving on to step 2:
74 divided by 16 is 4 with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 64 away from 74, we end up with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 16

Advancing to step 3:
When dividing 102 by 16, we get 6 with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 46.0
If we subtract 96 from 102, we get 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 16

Step 4:
The number 16 fits into 67 4 times, leaving a remainder of 3.
The next digit of our result is 4. 
Result so far: 464.0
Deduct 64 from 67 and we're left with 3.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 16

Let's proceed to step 5:
If we divide 32 by 16, we get 2 and a remainder of 0.
The next digit of our result is 2. 
Result so far: 4642.0
If we take 32 away from 32, we end up with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 16

Moving on to step 6:
1 divided by 16 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 46420.0
Subtracting 0 from 1 leaves us with 1.
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:
The number 16 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 46420.0
If we subtract 0 from 10, we 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.

Going ahead to step 8:
16 can be fit into 100 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 46420.06
If we subtract 96 from 100, we 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.

Step 9:
16 can be fit into 40 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 46420.062
The remainder is 8 after subtracting 32 from 40.
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:
80 divided by 16 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 46420.0625
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.

Let's proceed to step 11:
0 divided by 16 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 46420.0625
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.

Advancing to step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 46420.0625
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.

The final result is 46420.0625 with a remainder of 0.0.