We're dividing 527917 by 75 
We're looking to find how many times 75 goes into 527917.

Step 1:
The number 75 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 75

Going ahead to step 2:
When dividing 52 by 75, we get 0 with a remainder of 52.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 52 and we're left with 52.
Bring next digit (7) of the dividend behind the 52 and repeat the process: 527 / 75

On to step 3:
When dividing 527 by 75, we get 7 with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 2 after subtracting 525 from 527.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 75

Let's proceed to step 4:
29 divided by 75 is 0 with a remainder of 29.
The next digit of our result is 0. 
Result so far: 70.0
The remainder is 29 after subtracting 0 from 29.
Grab the next digit (1) from the dividend, add it to 29, then carry on: 291 / 75

Step 5:
75 goes into 291 3 times with a remainder of 66.
The next digit of our result is 3. 
Result so far: 703.0
If we take 225 away from 291, we end up with 66.
Append the next digit (7) from the dividend to 66 and continue with: 667 / 75

Let's proceed to step 6:
75 goes into 667 8 times with a remainder of 67.
Put 8 as the next digit of the answer. 
Result so far: 7038.0
If we subtract 600 from 667, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 7:
670 divided by 75 is 8 with a remainder of 70.
Record the quotient 8 as the next digit in the result. 
Result so far: 7038.8
Subtracting 600 from 670 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 8:
When dividing 700 by 75, we get 9 with a remainder of 25.
The next digit of our result is 9. 
Result so far: 7038.89
If we subtract 675 from 700, we 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.

Advancing to step 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 7038.893
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 10:
The number 75 fits into 250 3 times, leaving a remainder of 25.
The next digit of our result is 3. 
Result so far: 7038.8933
Subtracting 225 from 250 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.

The quotient of the division is 7038.8933, and the remainder is 0.00025.