514042 ÷ 75 
Our goal is to divide 514042 by 75.

Step 1:
When dividing 5 by 75, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 75

On to step 2:
75 can be fit into 51 0 times, resulting in a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Fetch the next digit (4) from the dividend, attach it to 51 and continue: 514 / 75

Going ahead to step 3:
75 can be fit into 514 6 times, resulting in a remainder of 64.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 64 after subtracting 450 from 514.
Grab the next digit (0) from the dividend, add it to 64, then carry on: 640 / 75

Advancing to step 4:
If we divide 640 by 75, we get 8 and a remainder of 40.
The next digit of our result is 8. 
Result so far: 68.0
Subtracting 600 from 640 leaves us with 40.
Bring next digit (4) of the dividend behind the 40 and repeat the process: 404 / 75

Going ahead to step 5:
The number 75 fits into 404 5 times, leaving a remainder of 29.
Record the quotient 5 as the next digit in the result. 
Result so far: 685.0
Subtract 375 from 404 to get 29.
Fetch the next digit (2) from the dividend, attach it to 29 and continue: 292 / 75

On to step 6:
The number 75 fits into 292 3 times, leaving a remainder of 67.
Record the quotient 3 as the next digit in the result. 
Result so far: 6853.0
Subtracting 225 from 292 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 7:
If we divide 670 by 75, we get 8 and a remainder of 70.
The next digit of our result is 8. 
Result so far: 6853.8
If we subtract 600 from 670, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 8:
The number 75 fits into 700 9 times, leaving a remainder of 25.
Use 9 as the next digit of our solution. 
Result so far: 6853.89
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.

Going ahead to step 9:
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: 6853.893
Subtract 225 from 250 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.

On to step 10:
250 divided by 75 is 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 6853.8933
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 6853.8933 with a balance of 0.00025.