We're dividing 603839 by 71 
We want to figure out the number of times 603839 can be divided by 71.

Going ahead to step 1:
71 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 71

Advancing to step 2:
The number 71 fits into 60 0 times, leaving a remainder of 60.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 60 leaves us with 60.
Include the next digit (3) from the dividend after 60, then repeat: 603 / 71

Let's proceed to step 3:
603 divided by 71 is 8 with a remainder of 35.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 568 from 603 and we're left with 35.
Bring next digit (8) of the dividend behind the 35 and repeat the process: 358 / 71

Going ahead to step 4:
If we divide 358 by 71, we get 5 and a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
The remainder is 3 after subtracting 355 from 358.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 71

Moving on to step 5:
71 can be fit into 33 0 times, resulting in a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 850.0
The remainder is 33 after subtracting 0 from 33.
Fetch the next digit (9) from the dividend, attach it to 33 and continue: 339 / 71

Advancing to step 6:
71 can be fit into 339 4 times, resulting in a remainder of 55.
The number 4 becomes the next digit in our result. 
Result so far: 8504.0
The remainder is 55 after subtracting 284 from 339.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 7:
71 goes into 550 7 times with a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 8504.7
Subtract 497 from 550 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 8:
If we divide 530 by 71, we get 7 and a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 8504.77
Subtracting 497 from 530 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

After the division, we end up with 8504.77 and a remainder of 0.033.