37033 ÷ 16 
Our goal is to divide 37033 by 16.

On to step 1:
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: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 16

On to step 2:
The number 16 fits into 37 2 times, leaving a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 32 from 37 and we're left with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 16

Step 3:
If we divide 50 by 16, we get 3 and a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 23.0
The remainder is 2 after subtracting 48 from 50.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 16

On to step 4:
23 divided by 16 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 231.0
Deduct 16 from 23 and we're left with 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 16

Step 5:
When dividing 73 by 16, we get 4 with a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 2314.0
If we subtract 64 from 73, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 6:
The number 16 fits into 90 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 2314.5
If we take 80 away from 90, we end up with 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 7:
If we divide 100 by 16, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 2314.56
Deduct 96 from 100 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.

Going ahead 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: 2314.562
Subtract 32 from 40 to get 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.
Record the quotient 5 as the next digit in the result. 
Result so far: 2314.5625
If we subtract 80 from 80, 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.

Moving on to step 10:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 2314.5625
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.

On to step 11:
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: 2314.5625
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 final result is 2314.5625 with a remainder of 0.0.