We're dividing 493309 by 34 
We want to figure out the number of times 493309 can be divided by 34.

On to step 1:
When dividing 4 by 34, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 34

Going ahead to step 2:
34 goes into 49 1 times with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 34 from 49 leaves us with 15.
Include the next digit (3) from the dividend after 15, then repeat: 153 / 34

Moving on to step 3:
If we divide 153 by 34, we get 4 and a remainder of 17.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
Deduct 136 from 153 and we're left with 17.
Append the next digit (3) from the dividend to 17 and continue with: 173 / 34

Moving on to step 4:
173 divided by 34 is 5 with a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 145.0
If we take 170 away from 173, we end up with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 34

Going ahead to step 5:
34 goes into 30 0 times with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 1450.0
The remainder is 30 after subtracting 0 from 30.
Grab the next digit (9) from the dividend, add it to 30, then carry on: 309 / 34

Advancing to step 6:
The number 34 fits into 309 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 14509.0
Subtract 306 from 309 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
The number 34 fits into 30 0 times, leaving a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 14509.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
The number 34 fits into 300 8 times, leaving a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 14509.08
Subtract 272 from 300 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 9:
34 goes into 280 8 times with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 14509.088
Subtracting 272 from 280 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 14509.088 with a remaining 0.0008.