Let's divide 101233 by 16
We're looking to find how many times 16 goes into 101233.

Moving on to step 1:
If we divide 1 by 16, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 16

Going ahead to step 2:
16 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 16

On to step 3:
If we divide 101 by 16, we get 6 and a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 96 from 101 to get 5.
Grab the next digit (2) from the dividend, add it to 5, then carry on: 52 / 16

Moving on to step 4:
16 can be fit into 52 3 times, resulting in a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 63.0
Deduct 48 from 52 and we're left with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 16

Let's proceed to step 5:
When dividing 43 by 16, we get 2 with a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 632.0
If we take 32 away from 43, we end up with 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 16

Going ahead to step 6:
The number 16 fits into 113 7 times, leaving a remainder of 1.
The next digit of our result is 7. 
Result so far: 6327.0
Deduct 112 from 113 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
When dividing 10 by 16, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 6327.0
Subtracting 0 from 10 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.

On to step 8:
If we divide 100 by 16, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 6327.06
The remainder is 4 after subtracting 96 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
The number 16 fits into 40 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 6327.062
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 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
The next digit of our result is 5. 
Result so far: 6327.0625
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.

Advancing to step 11:
0 divided by 16 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 6327.0625
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.

On to step 12:
0 divided by 16 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6327.0625
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 6327.0625 with a remainder of 0.0.