We divide 105142 by 96
Our goal is to divide 105142 by 96.

Going ahead to step 1:
1 divided by 96 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 96

On to step 2:
96 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 96

Moving on to step 3:
105 divided by 96 is 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 96 away from 105, we end up with 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 96

On to step 4:
When dividing 91 by 96, we get 0 with a remainder of 91.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 91 to get 91.
Include the next digit (4) from the dividend after 91, then repeat: 914 / 96

On to step 5:
914 divided by 96 is 9 with a remainder of 50.
Use 9 as the next digit of our solution. 
Result so far: 109.0
If we subtract 864 from 914, we get 50.
Bring next digit (2) of the dividend behind the 50 and repeat the process: 502 / 96

Let's proceed to step 6:
If we divide 502 by 96, we get 5 and a remainder of 22.
Use 5 as the next digit of our solution. 
Result so far: 1095.0
The remainder is 22 after subtracting 480 from 502.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 7:
The number 96 fits into 220 2 times, leaving a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 1095.2
If we take 192 away from 220, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
280 divided by 96 is 2 with a remainder of 88.
Use 2 as the next digit of our solution. 
Result so far: 1095.22
Subtracting 192 from 280 leaves us with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

After the division, we end up with 1095.22 and a remainder of 0.088.