605109 ÷ 71 
We're looking to find how many times 71 goes into 605109.

Moving on to step 1:
If we divide 6 by 71, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 71

Step 2:
60 divided by 71 is 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 60, we end up with 60.
Take the next digit (5) from the dividend and append it to 60, then repeat: 605 / 71

Going ahead to step 3:
If we divide 605 by 71, we get 8 and a remainder of 37.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 568 from 605, we get 37.
Bring next digit (1) of the dividend behind the 37 and repeat the process: 371 / 71

Step 4:
371 divided by 71 is 5 with a remainder of 16.
Write down 5 as next digit of the result. 
Result so far: 85.0
If we subtract 355 from 371, we get 16.
Grab the next digit (0) from the dividend, add it to 16, then carry on: 160 / 71

Let's proceed to step 5:
71 goes into 160 2 times with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 852.0
Deduct 142 from 160 and we're left with 18.
Bring next digit (9) of the dividend behind the 18 and repeat the process: 189 / 71

Going ahead to step 6:
71 can be fit into 189 2 times, resulting in a remainder of 47.
Put 2 as the next digit of the answer. 
Result so far: 8522.0
Deduct 142 from 189 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 7:
If we divide 470 by 71, we get 6 and a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 8522.6
Subtract 426 from 470 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 8:
440 divided by 71 is 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 8522.66
Subtracting 426 from 440 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 8522.66, and the remainder is 0.014.