We're dividing 736338 by 16 
Our goal is to divide 736338 by 16.

Let's proceed to step 1:
16 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 16

Let's proceed to step 2:
73 divided by 16 is 4 with a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 64 from 73, we get 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 16

Advancing to step 3:
16 can be fit into 96 6 times, resulting in a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 46.0
Deduct 96 from 96 and we're left with 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 16

Moving on to step 4:
16 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 460.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 16

Going ahead to step 5:
The number 16 fits into 33 2 times, leaving a remainder of 1.
The next digit of our result is 2. 
Result so far: 4602.0
The remainder is 1 after subtracting 32 from 33.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 16

On to step 6:
16 can be fit into 18 1 times, resulting in a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 46021.0
Subtract 16 from 18 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
When dividing 20 by 16, we get 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 46021.1
If we subtract 16 from 20, 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.

On to step 8:
40 divided by 16 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 46021.12
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 9:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 46021.125
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.

Moving on to step 10:
If we divide 0 by 16, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 46021.125
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.

Advancing to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 46021.125
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.

The quotient of the division is 46021.125, and the remainder is 0.0.