We divide 324241 by 75
We're looking to find how many times 75 goes into 324241.

Going ahead to step 1:
75 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 75

Let's proceed to step 2:
75 can be fit into 32 0 times, resulting in a remainder of 32.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 32, we end up with 32.
Grab the next digit (4) from the dividend, add it to 32, then carry on: 324 / 75

Step 3:
If we divide 324 by 75, we get 4 and a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 300 from 324 leaves us with 24.
Fetch the next digit (2) from the dividend, attach it to 24 and continue: 242 / 75

Advancing to step 4:
242 divided by 75 is 3 with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 43.0
Subtract 225 from 242 to get 17.
Append the next digit (4) from the dividend to 17 and continue with: 174 / 75

Step 5:
75 can be fit into 174 2 times, resulting in a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 432.0
The remainder is 24 after subtracting 150 from 174.
Fetch the next digit (1) from the dividend, attach it to 24 and continue: 241 / 75

Let's proceed to step 6:
If we divide 241 by 75, we get 3 and a remainder of 16.
The next digit of our result is 3. 
Result so far: 4323.0
The remainder is 16 after subtracting 225 from 241.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 7:
75 goes into 160 2 times with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 4323.2
The remainder is 10 after subtracting 150 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
100 divided by 75 is 1 with a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 4323.21
Subtract 75 from 100 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
75 goes into 250 3 times with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 4323.213
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 10:
75 goes into 250 3 times with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 4323.2133
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 4323.2133 with a balance of 0.00025.