We look at the division of 343009 by 75 
We want to divide 343009 by 75.

Step 1:
3 divided by 75 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 75

Going ahead to step 2:
When dividing 34 by 75, we get 0 with a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Include the next digit (3) from the dividend after 34, then repeat: 343 / 75

Going ahead to step 3:
When dividing 343 by 75, we get 4 with a remainder of 43.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 300 from 343 leaves us with 43.
Append the next digit (0) from the dividend to 43 and continue with: 430 / 75

Advancing to step 4:
430 divided by 75 is 5 with a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 45.0
If we subtract 375 from 430, we get 55.
Grab the next digit (0) from the dividend, add it to 55, then carry on: 550 / 75

Going ahead to step 5:
When dividing 550 by 75, we get 7 with a remainder of 25.
The number 7 becomes the next digit in our result. 
Result so far: 457.0
If we subtract 525 from 550, we get 25.
Take the next digit (9) from the dividend and append it to 25, then repeat: 259 / 75

Going ahead to step 6:
259 divided by 75 is 3 with a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 4573.0
If we take 225 away from 259, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
The number 75 fits into 340 4 times, leaving a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 4573.4
Subtract 300 from 340 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
75 can be fit into 400 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 4573.45
If we take 375 away from 400, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 4573.453
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 10:
250 divided by 75 is 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 4573.4533
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 4573.4533 with a remaining 0.00025.