We're dividing 321003 by 96 
We're looking to find how many times 96 goes into 321003.

On to step 1:
96 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 96

Going ahead to step 2:
32 divided by 96 is 0 with a remainder of 32.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 32, we end up with 32.
Take the next digit (1) from the dividend and append it to 32, then repeat: 321 / 96

Step 3:
96 can be fit into 321 3 times, resulting in a remainder of 33.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 288 from 321 and we're left with 33.
Take the next digit (0) from the dividend and append it to 33, then repeat: 330 / 96

Step 4:
96 goes into 330 3 times with a remainder of 42.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
If we take 288 away from 330, we end up with 42.
Append the next digit (0) from the dividend to 42 and continue with: 420 / 96

Let's proceed to step 5:
When dividing 420 by 96, we get 4 with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 334.0
Subtract 384 from 420 to get 36.
Fetch the next digit (3) from the dividend, attach it to 36 and continue: 363 / 96

Advancing to step 6:
363 divided by 96 is 3 with a remainder of 75.
Record the quotient 3 as the next digit in the result. 
Result so far: 3343.0
If we subtract 288 from 363, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 7:
When dividing 750 by 96, we get 7 with a remainder of 78.
Record the quotient 7 as the next digit in the result. 
Result so far: 3343.7
Deduct 672 from 750 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Advancing to step 8:
780 divided by 96 is 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 3343.78
Subtracting 768 from 780 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 9:
The number 96 fits into 120 1 times, leaving a remainder of 24.
Use 1 as the next digit of our solution. 
Result so far: 3343.781
If we subtract 96 from 120, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
96 goes into 240 2 times with a remainder of 48.
The next digit of our result is 2. 
Result so far: 3343.7812
Subtract 192 from 240 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 11:
96 can be fit into 480 5 times, resulting in a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 3343.78125
Deduct 480 from 480 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.

Advancing to step 12:
If we divide 0 by 96, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 3343.78125
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.

Moving on to step 13:
96 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 3343.78125
If we subtract 0 from 0, we 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.

In conclusion, the division gives 3343.78125 with a balance of 0.0.