We're dividing 505179 by 75 
We're looking to find how many times 75 goes into 505179.

Let's proceed to step 1:
When dividing 5 by 75, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 75

Advancing to step 2:
If we divide 50 by 75, we get 0 and a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Grab the next digit (5) from the dividend, add it to 50, then carry on: 505 / 75

On to step 3:
75 can be fit into 505 6 times, resulting in a remainder of 55.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 450 from 505, we get 55.
Take the next digit (1) from the dividend and append it to 55, then repeat: 551 / 75

Let's proceed to step 4:
The number 75 fits into 551 7 times, leaving a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 67.0
The remainder is 26 after subtracting 525 from 551.
Append the next digit (7) from the dividend to 26 and continue with: 267 / 75

Advancing to step 5:
75 goes into 267 3 times with a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 673.0
If we take 225 away from 267, we end up with 42.
Fetch the next digit (9) from the dividend, attach it to 42 and continue: 429 / 75

On to step 6:
75 can be fit into 429 5 times, resulting in a remainder of 54.
Record the quotient 5 as the next digit in the result. 
Result so far: 6735.0
Subtracting 375 from 429 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 7:
If we divide 540 by 75, we get 7 and a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 6735.7
If we subtract 525 from 540, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
150 divided by 75 is 2 with a remainder of 0.
The next digit of our result is 2. 
Result so far: 6735.72
Deduct 150 from 150 and we're left 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.

On to step 9:
If we divide 0 by 75, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 6735.72
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
75 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6735.72
Deduct 0 from 0 and we're left 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 quotient of the division is 6735.72, and the remainder is 0.0.