We're dividing 506613 by 75 
Our goal is to divide 506613 by 75.

Going ahead to step 1:
5 divided by 75 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 75

Going ahead to step 2:
50 divided by 75 is 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Append the next digit (6) from the dividend to 50 and continue with: 506 / 75

Let's proceed to step 3:
75 can be fit into 506 6 times, resulting in a remainder of 56.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 450 away from 506, we end up with 56.
Take the next digit (6) from the dividend and append it to 56, then repeat: 566 / 75

Advancing to step 4:
The number 75 fits into 566 7 times, leaving a remainder of 41.
Use 7 as the next digit of our solution. 
Result so far: 67.0
Subtracting 525 from 566 leaves us with 41.
Bring next digit (1) of the dividend behind the 41 and repeat the process: 411 / 75

On to step 5:
75 can be fit into 411 5 times, resulting in a remainder of 36.
Put 5 as the next digit of the answer. 
Result so far: 675.0
Subtracting 375 from 411 leaves us with 36.
Fetch the next digit (3) from the dividend, attach it to 36 and continue: 363 / 75

On to step 6:
363 divided by 75 is 4 with a remainder of 63.
Record the quotient 4 as the next digit in the result. 
Result so far: 6754.0
Subtracting 300 from 363 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 7:
If we divide 630 by 75, we get 8 and a remainder of 30.
The next digit of our result is 8. 
Result so far: 6754.8
If we take 600 away from 630, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
When dividing 300 by 75, we get 4 with a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 6754.84
Subtracting 300 from 300 leaves us 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.

Moving on to step 9:
75 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6754.84
If we take 0 away from 0, 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.

Moving on to step 10:
The number 75 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6754.84
If we take 0 away from 0, 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.

The final result is 6754.84 with a remainder of 0.0.