We look at the division of 127033 by 16 
We want to figure out the number of times 127033 can be divided by 16.

On to step 1:
16 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 16

On to step 2:
If we divide 12 by 16, we get 0 and a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 16

Let's proceed to step 3:
16 goes into 127 7 times with a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 112 from 127, we get 15.
Bring next digit (0) of the dividend behind the 15 and repeat the process: 150 / 16

Advancing to step 4:
If we divide 150 by 16, we get 9 and a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
If we subtract 144 from 150, we get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 16

On to step 5:
16 can be fit into 63 3 times, resulting in a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 793.0
If we subtract 48 from 63, we get 15.
Grab the next digit (3) from the dividend, add it to 15, then carry on: 153 / 16

Going ahead to step 6:
If we divide 153 by 16, we get 9 and a remainder of 9.
The next digit of our result is 9. 
Result so far: 7939.0
Deduct 144 from 153 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
The number 16 fits into 90 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 7939.5
Subtracting 80 from 90 leaves us 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.

Let's proceed to step 8:
16 can be fit into 100 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 7939.56
Subtracting 96 from 100 leaves us 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.

On to step 9:
40 divided by 16 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 7939.562
If we take 32 away from 40, 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.

Going ahead to step 10:
16 goes into 80 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 7939.5625
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.

Advancing to step 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 7939.5625
Subtract 0 from 0 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.

Step 12:
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: 7939.5625
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.

In conclusion, the division gives 7939.5625 with a balance of 0.0.