Let's divide 306742 by 75
We're looking to find how many times 75 goes into 306742.

Going ahead to step 1:
When dividing 3 by 75, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 75

Going ahead to step 2:
If we divide 30 by 75, we get 0 and a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 30, we end up with 30.
Bring next digit (6) of the dividend behind the 30 and repeat the process: 306 / 75

Advancing to step 3:
The number 75 fits into 306 4 times, leaving a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 300 from 306 to get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 75

Moving on to step 4:
The number 75 fits into 67 0 times, leaving a remainder of 67.
The next digit of our result is 0. 
Result so far: 40.0
Subtracting 0 from 67 leaves us with 67.
Fetch the next digit (4) from the dividend, attach it to 67 and continue: 674 / 75

Advancing to step 5:
The number 75 fits into 674 8 times, leaving a remainder of 74.
The next digit of our result is 8. 
Result so far: 408.0
Deduct 600 from 674 and we're left with 74.
Fetch the next digit (2) from the dividend, attach it to 74 and continue: 742 / 75

Moving on to step 6:
75 can be fit into 742 9 times, resulting in a remainder of 67.
Put 9 as the next digit of the answer. 
Result so far: 4089.0
Subtract 675 from 742 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 7:
If we divide 670 by 75, we get 8 and a remainder of 70.
Use 8 as the next digit of our solution. 
Result so far: 4089.8
Subtracting 600 from 670 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 8:
75 goes into 700 9 times with a remainder of 25.
Write down 9 as next digit of the result. 
Result so far: 4089.89
Subtract 675 from 700 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.

Moving on to step 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 4089.893
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.

Moving on to step 10:
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: 4089.8933
The remainder is 25 after subtracting 225 from 250.
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 4089.8933 with a balance of 0.00025.