We look at the division of 102750 by 16 
We're looking to find how many times 16 goes into 102750.

Going ahead to step 1:
1 divided by 16 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 16

Advancing to step 2:
When dividing 10 by 16, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 16

Advancing to step 3:
16 can be fit into 102 6 times, resulting in a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 96 from 102 leaves us with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 16

Advancing to step 4:
16 goes into 67 4 times with a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 64.0
Subtract 64 from 67 to get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 16

Moving on to step 5:
16 can be fit into 35 2 times, resulting in a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 642.0
The remainder is 3 after subtracting 32 from 35.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 16

Let's proceed to step 6:
If we divide 30 by 16, we get 1 and a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 6421.0
The remainder is 14 after subtracting 16 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
The number 16 fits into 140 8 times, leaving a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 6421.8
The remainder is 12 after subtracting 128 from 140.
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:
16 goes into 120 7 times with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 6421.87
The remainder is 8 after subtracting 112 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
When dividing 80 by 16, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 6421.875
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.

Advancing to step 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 6421.875
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.
The number 0 becomes the next digit in our result. 
Result so far: 6421.875
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.

The final result is 6421.875 with a remainder of 0.0.