We divide 742255 by 75
Our goal is to divide 742255 by 75.

Advancing to step 1:
75 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 75

On to step 2:
74 divided by 75 is 0 with a remainder of 74.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 74, we get 74.
Take the next digit (2) from the dividend and append it to 74, then repeat: 742 / 75

On to step 3:
When dividing 742 by 75, we get 9 with a remainder of 67.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 675 away from 742, we end up with 67.
Append the next digit (2) from the dividend to 67 and continue with: 672 / 75

Going ahead to step 4:
75 goes into 672 8 times with a remainder of 72.
The next digit of our result is 8. 
Result so far: 98.0
Subtracting 600 from 672 leaves us with 72.
Grab the next digit (5) from the dividend, add it to 72, then carry on: 725 / 75

Advancing to step 5:
When dividing 725 by 75, we get 9 with a remainder of 50.
Put 9 as the next digit of the answer. 
Result so far: 989.0
The remainder is 50 after subtracting 675 from 725.
Take the next digit (5) from the dividend and append it to 50, then repeat: 505 / 75

Going ahead to step 6:
75 goes into 505 6 times with a remainder of 55.
Record the quotient 6 as the next digit in the result. 
Result so far: 9896.0
If we take 450 away from 505, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 7:
If we divide 550 by 75, we get 7 and a remainder of 25.
Use 7 as the next digit of our solution. 
Result so far: 9896.7
Deduct 525 from 550 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.

Going ahead to step 8:
When dividing 250 by 75, we get 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 9896.73
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.

Let's proceed to step 9:
75 can be fit into 250 3 times, resulting in a remainder of 25.
The next digit of our result is 3. 
Result so far: 9896.733
If we subtract 225 from 250, we 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.

After the division, we end up with 9896.733 and a remainder of 0.0025.