We look at the division of 605209 by 9 
Our goal is to divide 605209 by 9.

Step 1:
9 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 9

Going ahead to step 2:
When dividing 60 by 9, we get 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 54 from 60, we get 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 9

Going ahead to step 3:
9 can be fit into 65 7 times, resulting in a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 67.0
If we subtract 63 from 65, we get 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 9

Moving on to step 4:
When dividing 22 by 9, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 672.0
If we subtract 18 from 22, we get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 9

Moving on to step 5:
The number 9 fits into 40 4 times, leaving a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 6724.0
Subtract 36 from 40 to get 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 9

Step 6:
9 can be fit into 49 5 times, resulting in a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 67245.0
Subtract 45 from 49 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
When dividing 40 by 9, we get 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 67245.4
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
If we divide 40 by 9, we get 4 and a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 67245.44
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 67245.44 and a remainder of 0.004.