33637 ÷ 16 
We want to figure out the number of times 33637 can be divided by 16.

Moving on to step 1:
If we divide 3 by 16, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 16

Advancing to step 2:
If we divide 33 by 16, we get 2 and a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 32 from 33 and we're left with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 16

Step 3:
16 goes into 16 1 times with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Deduct 16 from 16 and we're left with 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 16

Let's proceed to step 4:
When dividing 3 by 16, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 210.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 16

Advancing to step 5:
16 can be fit into 37 2 times, resulting in a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 2102.0
Deduct 32 from 37 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 6:
The number 16 fits into 50 3 times, leaving a remainder of 2.
The next digit of our result is 3. 
Result so far: 2102.3
Subtract 48 from 50 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.

On to step 7:
The number 16 fits into 20 1 times, leaving a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 2102.31
Deduct 16 from 20 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
16 goes into 40 2 times with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 2102.312
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.

Moving on to step 9:
16 can be fit into 80 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 2102.3125
Subtracting 80 from 80 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.

On to step 10:
If we divide 0 by 16, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 2102.3125
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.

Step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 2102.3125
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.

The final result is 2102.3125 with a remainder of 0.0.