57506 ÷ 75 
We're looking to find how many times 75 goes into 57506.

Let's proceed to step 1:
75 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 75

Let's proceed to step 2:
If we divide 57 by 75, we get 0 and a remainder of 57.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 57 leaves us with 57.
Include the next digit (5) from the dividend after 57, then repeat: 575 / 75

On to step 3:
75 goes into 575 7 times with a remainder of 50.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 525 from 575, we get 50.
Fetch the next digit (0) from the dividend, attach it to 50 and continue: 500 / 75

On to step 4:
If we divide 500 by 75, we get 6 and a remainder of 50.
The next digit of our result is 6. 
Result so far: 76.0
Subtract 450 from 500 to get 50.
Fetch the next digit (6) from the dividend, attach it to 50 and continue: 506 / 75

Advancing to step 5:
If we divide 506 by 75, we get 6 and a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 766.0
If we subtract 450 from 506, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 6:
The number 75 fits into 560 7 times, leaving a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 766.7
If we subtract 525 from 560, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 7:
75 can be fit into 350 4 times, resulting in a remainder of 50.
Record the quotient 4 as the next digit in the result. 
Result so far: 766.74
Subtract 300 from 350 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
75 goes into 500 6 times with a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 766.746
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 766.7466
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 766.7466, and the remainder is 0.0005.