511887 ÷ 75 
We're looking to find how many times 75 goes into 511887.

Advancing to step 1:
If we divide 5 by 75, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 75

Step 2:
75 goes into 51 0 times with a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Include the next digit (1) from the dividend after 51, then repeat: 511 / 75

Let's proceed to step 3:
75 goes into 511 6 times with a remainder of 61.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 450 away from 511, we end up with 61.
Fetch the next digit (8) from the dividend, attach it to 61 and continue: 618 / 75

Let's proceed to step 4:
The number 75 fits into 618 8 times, leaving a remainder of 18.
The next digit of our result is 8. 
Result so far: 68.0
Deduct 600 from 618 and we're left with 18.
Grab the next digit (8) from the dividend, add it to 18, then carry on: 188 / 75

Moving on to step 5:
If we divide 188 by 75, we get 2 and a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 682.0
Subtracting 150 from 188 leaves us with 38.
Append the next digit (7) from the dividend to 38 and continue with: 387 / 75

Let's proceed to step 6:
When dividing 387 by 75, we get 5 with a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 6825.0
Subtract 375 from 387 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
120 divided by 75 is 1 with a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 6825.1
Subtract 75 from 120 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 8:
When dividing 450 by 75, we get 6 with a remainder of 0.
The next digit of our result is 6. 
Result so far: 6825.16
Subtracting 450 from 450 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.

Advancing to step 9:
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: 6825.16
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.

Let's proceed to step 10:
When dividing 0 by 75, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 6825.16
If we subtract 0 from 0, we get 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 6825.16 with a remainder of 0.0.