We're dividing 225642 by 75 
We want to divide 225642 by 75.

Advancing to step 1:
The number 75 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 75

Step 2:
75 can be fit into 22 0 times, resulting in a remainder of 22.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 22, we get 22.
Include the next digit (5) from the dividend after 22, then repeat: 225 / 75

Let's proceed to step 3:
If we divide 225 by 75, we get 3 and a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 0 after subtracting 225 from 225.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 75

Let's proceed to step 4:
The number 75 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 30.0
If we subtract 0 from 6, we get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 75

Going ahead to step 5:
75 can be fit into 64 0 times, resulting in a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 300.0
Deduct 0 from 64 and we're left with 64.
Fetch the next digit (2) from the dividend, attach it to 64 and continue: 642 / 75

Moving on to step 6:
75 goes into 642 8 times with a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 3008.0
Subtracting 600 from 642 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 7:
When dividing 420 by 75, we get 5 with a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 3008.5
If we subtract 375 from 420, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 8:
The number 75 fits into 450 6 times, leaving a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 3008.56
If we take 450 away from 450, we end up 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.

On to step 9:
The number 75 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 3008.56
Deduct 0 from 0 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.

Let's proceed to step 10:
When dividing 0 by 75, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 3008.56
The remainder is 0 after subtracting 0 from 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 3008.56 with a balance of 0.0.