We look at the division of 509417 by 69 
Our goal is to divide 509417 by 69.

Going ahead to step 1:
69 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 69

Going ahead to step 2:
50 divided by 69 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Append the next digit (9) from the dividend to 50 and continue with: 509 / 69

Step 3:
509 divided by 69 is 7 with a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 26 after subtracting 483 from 509.
Fetch the next digit (4) from the dividend, attach it to 26 and continue: 264 / 69

On to step 4:
The number 69 fits into 264 3 times, leaving a remainder of 57.
The next digit of our result is 3. 
Result so far: 73.0
Subtracting 207 from 264 leaves us with 57.
Bring next digit (1) of the dividend behind the 57 and repeat the process: 571 / 69

On to step 5:
69 can be fit into 571 8 times, resulting in a remainder of 19.
Write down 8 as next digit of the result. 
Result so far: 738.0
Subtracting 552 from 571 leaves us with 19.
Include the next digit (7) from the dividend after 19, then repeat: 197 / 69

Moving on to step 6:
197 divided by 69 is 2 with a remainder of 59.
The next digit of our result is 2. 
Result so far: 7382.0
Deduct 138 from 197 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 7:
The number 69 fits into 590 8 times, leaving a remainder of 38.
Write down 8 as next digit of the result. 
Result so far: 7382.8
If we subtract 552 from 590, we get 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 8:
69 goes into 380 5 times with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 7382.85
Subtract 345 from 380 to get 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 9:
If we divide 350 by 69, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 7382.855
Subtracting 345 from 350 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.

The final result is 7382.855 with a remainder of 0.0005.