We're dividing 369103 by 96 
We want to divide 369103 by 96.

Going ahead to step 1:
96 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 96

Advancing to step 2:
If we divide 36 by 96, we get 0 and a remainder of 36.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 36, we get 36.
Fetch the next digit (9) from the dividend, attach it to 36 and continue: 369 / 96

Going ahead to step 3:
If we divide 369 by 96, we get 3 and a remainder of 81.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 288 from 369 to get 81.
Include the next digit (1) from the dividend after 81, then repeat: 811 / 96

On to step 4:
When dividing 811 by 96, we get 8 with a remainder of 43.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
The remainder is 43 after subtracting 768 from 811.
Take the next digit (0) from the dividend and append it to 43, then repeat: 430 / 96

Moving on to step 5:
If we divide 430 by 96, we get 4 and a remainder of 46.
Write down 4 as next digit of the result. 
Result so far: 384.0
Deduct 384 from 430 and we're left with 46.
Append the next digit (3) from the dividend to 46 and continue with: 463 / 96

Going ahead to step 6:
96 can be fit into 463 4 times, resulting in a remainder of 79.
Use 4 as the next digit of our solution. 
Result so far: 3844.0
The remainder is 79 after subtracting 384 from 463.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Moving on to step 7:
96 goes into 790 8 times with a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 3844.8
Deduct 768 from 790 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
If we divide 220 by 96, we get 2 and a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 3844.82
If we subtract 192 from 220, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
280 divided by 96 is 2 with a remainder of 88.
Write down 2 as next digit of the result. 
Result so far: 3844.822
Deduct 192 from 280 and we're left 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.

In conclusion, the division gives 3844.822 with a balance of 0.0088.