605876 ÷ 71 
Our goal is to divide 605876 by 71.

Step 1:
When dividing 6 by 71, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 71

Let's proceed to step 2:
71 can be fit into 60 0 times, resulting in a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 60, we get 60.
Bring next digit (5) of the dividend behind the 60 and repeat the process: 605 / 71

Advancing to step 3:
71 goes into 605 8 times with a remainder of 37.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 37 after subtracting 568 from 605.
Take the next digit (8) from the dividend and append it to 37, then repeat: 378 / 71

Going ahead to step 4:
The number 71 fits into 378 5 times, leaving a remainder of 23.
Put 5 as the next digit of the answer. 
Result so far: 85.0
If we take 355 away from 378, we end up with 23.
Take the next digit (7) from the dividend and append it to 23, then repeat: 237 / 71

Going ahead to step 5:
71 goes into 237 3 times with a remainder of 24.
Put 3 as the next digit of the answer. 
Result so far: 853.0
The remainder is 24 after subtracting 213 from 237.
Include the next digit (6) from the dividend after 24, then repeat: 246 / 71

Moving on to step 6:
If we divide 246 by 71, we get 3 and a remainder of 33.
Use 3 as the next digit of our solution. 
Result so far: 8533.0
Subtracting 213 from 246 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.

Advancing to step 7:
If we divide 330 by 71, we get 4 and a remainder of 46.
Put 4 as the next digit of the answer. 
Result so far: 8533.4
If we subtract 284 from 330, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 8:
71 goes into 460 6 times with a remainder of 34.
The next digit of our result is 6. 
Result so far: 8533.46
Subtracting 426 from 460 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 9:
When dividing 340 by 71, we get 4 with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 8533.464
If we subtract 284 from 340, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 10:
71 goes into 560 7 times with a remainder of 63.
Record the quotient 7 as the next digit in the result. 
Result so far: 8533.4647
Subtracting 497 from 560 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 11:
If we divide 630 by 71, we get 8 and a remainder of 62.
Record the quotient 8 as the next digit in the result. 
Result so far: 8533.46478
If we take 568 away from 630, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 12:
71 goes into 620 8 times with a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 8533.464788
The remainder is 52 after subtracting 568 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

After the division, we end up with 8533.464788 and a remainder of 5.2e-06.