We're dividing 713903 by 75 
We want to divide 713903 by 75.

Step 1:
When dividing 7 by 75, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 75

Let's proceed to step 2:
71 divided by 75 is 0 with a remainder of 71.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 71 and we're left with 71.
Include the next digit (3) from the dividend after 71, then repeat: 713 / 75

On to step 3:
If we divide 713 by 75, we get 9 and a remainder of 38.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Deduct 675 from 713 and we're left with 38.
Include the next digit (9) from the dividend after 38, then repeat: 389 / 75

Step 4:
75 goes into 389 5 times with a remainder of 14.
The next digit of our result is 5. 
Result so far: 95.0
If we take 375 away from 389, we end up with 14.
Bring next digit (0) of the dividend behind the 14 and repeat the process: 140 / 75

Moving on to step 5:
75 goes into 140 1 times with a remainder of 65.
Record the quotient 1 as the next digit in the result. 
Result so far: 951.0
The remainder is 65 after subtracting 75 from 140.
Append the next digit (3) from the dividend to 65 and continue with: 653 / 75

Moving on to step 6:
If we divide 653 by 75, we get 8 and a remainder of 53.
The number 8 becomes the next digit in our result. 
Result so far: 9518.0
If we take 600 away from 653, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 7:
If we divide 530 by 75, we get 7 and a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 9518.7
Subtract 525 from 530 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
75 can be fit into 50 0 times, resulting in a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 9518.7
Deduct 0 from 50 and we're left 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.

Moving on 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: 9518.706
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.

Moving on to step 10:
500 divided by 75 is 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 9518.7066
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 9518.7066, and the remainder is 0.0005.