500742 divided by 75 
We want to figure out the number of times 500742 can be divided by 75.

Going ahead to step 1:
When dividing 5 by 75, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 75

On to step 2:
The number 75 fits into 50 0 times, leaving a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Take the next digit (0) from the dividend and append it to 50, then repeat: 500 / 75

Let's proceed to step 3:
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: 6.0
Subtracting 450 from 500 leaves us with 50.
Grab the next digit (7) from the dividend, add it to 50, then carry on: 507 / 75

Step 4:
507 divided by 75 is 6 with a remainder of 57.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
Subtracting 450 from 507 leaves us with 57.
Bring next digit (4) of the dividend behind the 57 and repeat the process: 574 / 75

On to step 5:
574 divided by 75 is 7 with a remainder of 49.
Use 7 as the next digit of our solution. 
Result so far: 667.0
If we take 525 away from 574, we end up with 49.
Grab the next digit (2) from the dividend, add it to 49, then carry on: 492 / 75

Advancing to step 6:
If we divide 492 by 75, we get 6 and a remainder of 42.
Record the quotient 6 as the next digit in the result. 
Result so far: 6676.0
If we subtract 450 from 492, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 7:
If we divide 420 by 75, we get 5 and a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 6676.5
If we take 375 away from 420, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 8:
The number 75 fits into 450 6 times, leaving a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 6676.56
The remainder is 0 after subtracting 450 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
0 divided by 75 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 6676.56
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.

Moving on to step 10:
The number 75 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 6676.56
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 6676.56, and the remainder is 0.0.