We're dividing 105272 by 96 
Our goal is to divide 105272 by 96.

Let's proceed to step 1:
When dividing 1 by 96, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 96

Going ahead to step 2:
96 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
Subtract 0 from 10 to get 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 96

Advancing to step 3:
96 goes into 105 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 96 from 105 and we're left with 9.
Fetch the next digit (2) from the dividend, attach it to 9 and continue: 92 / 96

Moving on to step 4:
92 divided by 96 is 0 with a remainder of 92.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 92 and we're left with 92.
Include the next digit (7) from the dividend after 92, then repeat: 927 / 96

Advancing to step 5:
96 goes into 927 9 times with a remainder of 63.
Record the quotient 9 as the next digit in the result. 
Result so far: 109.0
The remainder is 63 after subtracting 864 from 927.
Grab the next digit (2) from the dividend, add it to 63, then carry on: 632 / 96

Step 6:
96 goes into 632 6 times with a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 1096.0
If we take 576 away from 632, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 7:
The number 96 fits into 560 5 times, leaving a remainder of 80.
The number 5 becomes the next digit in our result. 
Result so far: 1096.5
Deduct 480 from 560 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 8:
When dividing 800 by 96, we get 8 with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 1096.58
The remainder is 32 after subtracting 768 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
96 goes into 320 3 times with a remainder of 32.
The number 3 becomes the next digit in our result. 
Result so far: 1096.583
If we subtract 288 from 320, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 10:
The number 96 fits into 320 3 times, leaving a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 1096.5833
Deduct 288 from 320 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 1096.5833 and a remainder of 0.00032.