We're dividing 437638 by 16 
Let's see how many times 16 fits into 437638.

Let's proceed to step 1:
4 divided by 16 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 16

Advancing to step 2:
43 divided by 16 is 2 with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 32 from 43 and we're left with 11.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 16

Going ahead to step 3:
117 divided by 16 is 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 27.0
If we take 112 away from 117, we end up with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 16

Moving on to step 4:
56 divided by 16 is 3 with a remainder of 8.
The next digit of our result is 3. 
Result so far: 273.0
Subtract 48 from 56 to get 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 16

Going ahead to step 5:
16 goes into 83 5 times with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 2735.0
Subtracting 80 from 83 leaves us with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 16

Moving on to step 6:
When dividing 38 by 16, we get 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 27352.0
Subtracting 32 from 38 leaves us with 6.
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 7:
If we divide 60 by 16, we get 3 and a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 27352.3
If we subtract 48 from 60, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
120 divided by 16 is 7 with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 27352.37
If we take 112 away from 120, we end up 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.

Advancing to step 9:
80 divided by 16 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 27352.375
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.

Moving on to step 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 27352.375
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.

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: 27352.375
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.

The quotient of the division is 27352.375, and the remainder is 0.0.