We look at the division of 435713 by 75 
We want to divide 435713 by 75.

Step 1:
4 divided by 75 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 75

Going ahead to step 2:
The number 75 fits into 43 0 times, leaving a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Take the next digit (5) from the dividend and append it to 43, then repeat: 435 / 75

Advancing to step 3:
75 can be fit into 435 5 times, resulting in a remainder of 60.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 375 from 435 to get 60.
Append the next digit (7) from the dividend to 60 and continue with: 607 / 75

Step 4:
75 can be fit into 607 8 times, resulting in a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 58.0
Subtract 600 from 607 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 75

Advancing to step 5:
71 divided by 75 is 0 with a remainder of 71.
The next digit of our result is 0. 
Result so far: 580.0
Subtracting 0 from 71 leaves us with 71.
Append the next digit (3) from the dividend to 71 and continue with: 713 / 75

Advancing to step 6:
The number 75 fits into 713 9 times, leaving a remainder of 38.
The next digit of our result is 9. 
Result so far: 5809.0
If we take 675 away from 713, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 7:
If we divide 380 by 75, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 5809.5
Subtracting 375 from 380 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing 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: 5809.5
If we subtract 0 from 50, 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.
The next digit of our result is 6. 
Result so far: 5809.506
Deduct 450 from 500 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.

Going ahead to step 10:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 5809.5066
If we take 450 away from 500, we end up 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.

After the division, we end up with 5809.5066 and a remainder of 0.0005.