We're dividing 587577 by 71 
We're looking to find how many times 71 goes into 587577.

Moving on to step 1:
71 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 71

Going ahead to step 2:
If we divide 58 by 71, we get 0 and a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Append the next digit (7) from the dividend to 58 and continue with: 587 / 71

On to step 3:
If we divide 587 by 71, we get 8 and a remainder of 19.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we subtract 568 from 587, we get 19.
Bring next digit (5) of the dividend behind the 19 and repeat the process: 195 / 71

Step 4:
The number 71 fits into 195 2 times, leaving a remainder of 53.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
Deduct 142 from 195 and we're left with 53.
Bring next digit (7) of the dividend behind the 53 and repeat the process: 537 / 71

On to step 5:
When dividing 537 by 71, we get 7 with a remainder of 40.
The next digit of our result is 7. 
Result so far: 827.0
Subtract 497 from 537 to get 40.
Grab the next digit (7) from the dividend, add it to 40, then carry on: 407 / 71

Advancing to step 6:
The number 71 fits into 407 5 times, leaving a remainder of 52.
Use 5 as the next digit of our solution. 
Result so far: 8275.0
Deduct 355 from 407 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 7:
71 can be fit into 520 7 times, resulting in a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 8275.7
Deduct 497 from 520 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 8:
When dividing 230 by 71, we get 3 with a remainder of 17.
The next digit of our result is 3. 
Result so far: 8275.73
Subtract 213 from 230 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 9:
71 goes into 170 2 times with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 8275.732
If we take 142 away from 170, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 10:
The number 71 fits into 280 3 times, leaving a remainder of 67.
Use 3 as the next digit of our solution. 
Result so far: 8275.7323
Subtracting 213 from 280 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 11:
670 divided by 71 is 9 with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 8275.73239
The remainder is 31 after subtracting 639 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 12:
71 can be fit into 310 4 times, resulting in a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 8275.732394
The remainder is 26 after subtracting 284 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 13:
The number 71 fits into 260 3 times, leaving a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 8275.7323943
If we take 213 away from 260, we end up 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 14:
71 goes into 470 6 times with a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 8275.73239436
If we subtract 426 from 470, we 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.

After the division, we end up with 8275.73239436 and a remainder of 4.4e-08.