We look at the division of 605371 by 9 
We're looking to find how many times 9 goes into 605371.

Step 1:
6 divided by 9 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 9

On to step 2:
9 can be fit into 60 6 times, resulting in a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 54 away from 60, we end up with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 9

Advancing to step 3:
9 goes into 65 7 times with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 67.0
The remainder is 2 after subtracting 63 from 65.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 9

Moving on to step 4:
9 can be fit into 23 2 times, resulting in a remainder of 5.
The next digit of our result is 2. 
Result so far: 672.0
If we take 18 away from 23, we end up with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 9

Going ahead to step 5:
9 can be fit into 57 6 times, resulting in a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 6726.0
Deduct 54 from 57 and we're left with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 9

Advancing to step 6:
31 divided by 9 is 3 with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 67263.0
Subtracting 27 from 31 leaves us 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.

Going ahead to step 7:
9 goes into 40 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 67263.4
If we take 36 away from 40, we end up 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.

Let's proceed to step 8:
The number 9 fits into 40 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 67263.44
Subtracting 36 from 40 leaves us 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.

Our division results in 67263.44 with a remaining 0.004.