We look at the division of 538010 by 75 
We want to figure out the number of times 538010 can be divided by 75.

On to step 1:
75 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 75

Moving on to step 2:
When dividing 53 by 75, we get 0 with a remainder of 53.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 53 to get 53.
Take the next digit (8) from the dividend and append it to 53, then repeat: 538 / 75

Let's proceed to step 3:
75 can be fit into 538 7 times, resulting in a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we subtract 525 from 538, we get 13.
Grab the next digit (0) from the dividend, add it to 13, then carry on: 130 / 75

Moving on to step 4:
The number 75 fits into 130 1 times, leaving a remainder of 55.
The next digit of our result is 1. 
Result so far: 71.0
Deduct 75 from 130 and we're left with 55.
Append the next digit (1) from the dividend to 55 and continue with: 551 / 75

On to step 5:
If we divide 551 by 75, we get 7 and a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 717.0
The remainder is 26 after subtracting 525 from 551.
Append the next digit (0) from the dividend to 26 and continue with: 260 / 75

Advancing to step 6:
75 goes into 260 3 times with a remainder of 35.
Use 3 as the next digit of our solution. 
Result so far: 7173.0
Deduct 225 from 260 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 7:
350 divided by 75 is 4 with a remainder of 50.
Write down 4 as next digit of the result. 
Result so far: 7173.4
The remainder is 50 after subtracting 300 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 8:
500 divided by 75 is 6 with a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 7173.46
If we subtract 450 from 500, we 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.

Advancing to step 9:
75 goes into 500 6 times with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 7173.466
Subtracting 450 from 500 leaves us with 50.
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 7173.466, and the remainder is 0.005.