583357 divided by 71 
We want to figure out the number of times 583357 can be divided by 71.

On to step 1:
71 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 71

Moving on to step 2:
71 goes into 58 0 times with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Fetch the next digit (3) from the dividend, attach it to 58 and continue: 583 / 71

Step 3:
If we divide 583 by 71, we get 8 and a remainder of 15.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we take 568 away from 583, we end up with 15.
Grab the next digit (3) from the dividend, add it to 15, then carry on: 153 / 71

Advancing to step 4:
71 can be fit into 153 2 times, resulting in a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 82.0
If we take 142 away from 153, we end up with 11.
Grab the next digit (5) from the dividend, add it to 11, then carry on: 115 / 71

Step 5:
The number 71 fits into 115 1 times, leaving a remainder of 44.
Use 1 as the next digit of our solution. 
Result so far: 821.0
The remainder is 44 after subtracting 71 from 115.
Bring next digit (7) of the dividend behind the 44 and repeat the process: 447 / 71

Step 6:
71 can be fit into 447 6 times, resulting in a remainder of 21.
Put 6 as the next digit of the answer. 
Result so far: 8216.0
If we take 426 away from 447, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
When dividing 210 by 71, we get 2 with a remainder of 68.
Use 2 as the next digit of our solution. 
Result so far: 8216.2
Subtract 142 from 210 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 8:
The number 71 fits into 680 9 times, leaving a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 8216.29
Subtract 639 from 680 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 9:
When dividing 410 by 71, we get 5 with a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 8216.295
Deduct 355 from 410 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 10:
If we divide 550 by 71, we get 7 and a remainder of 53.
The next digit of our result is 7. 
Result so far: 8216.2957
If we subtract 497 from 550, we 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.

Advancing to step 11:
71 can be fit into 530 7 times, resulting in a remainder of 33.
The next digit of our result is 7. 
Result so far: 8216.29577
If we take 497 away from 530, we end up 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.

In conclusion, the division gives 8216.29577 with a balance of 3.3e-05.