We're dividing 506389 by 75 
We want to figure out the number of times 506389 can be divided by 75.

On to step 1:
5 divided by 75 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 75

On to step 2:
If we divide 50 by 75, we get 0 and a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Take the next digit (6) from the dividend and append it to 50, then repeat: 506 / 75

Moving on to step 3:
The number 75 fits into 506 6 times, leaving a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 450 from 506 leaves us with 56.
Bring next digit (3) of the dividend behind the 56 and repeat the process: 563 / 75

Let's proceed to step 4:
75 goes into 563 7 times with a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 67.0
If we subtract 525 from 563, we get 38.
Bring next digit (8) of the dividend behind the 38 and repeat the process: 388 / 75

Moving on to step 5:
When dividing 388 by 75, we get 5 with a remainder of 13.
Put 5 as the next digit of the answer. 
Result so far: 675.0
The remainder is 13 after subtracting 375 from 388.
Grab the next digit (9) from the dividend, add it to 13, then carry on: 139 / 75

On to step 6:
139 divided by 75 is 1 with a remainder of 64.
The number 1 becomes the next digit in our result. 
Result so far: 6751.0
If we subtract 75 from 139, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 7:
When dividing 640 by 75, we get 8 with a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 6751.8
Subtracting 600 from 640 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
75 can be fit into 400 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 6751.85
Subtracting 375 from 400 leaves us 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 9:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 6751.853
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 10:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 6751.8533
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.

The final outcome is 6751.8533, with a leftover of 0.00025.