We look at the division of 583705 by 71 
Let's see how many times 71 fits into 583705.

Moving on to step 1:
71 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 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
Subtracting 0 from 58 leaves us with 58.
Grab the next digit (3) from the dividend, add it to 58, then carry on: 583 / 71

Advancing to step 3:
When dividing 583 by 71, we get 8 with a remainder of 15.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtracting 568 from 583 leaves us with 15.
Take the next digit (7) from the dividend and append it to 15, then repeat: 157 / 71

Advancing to step 4:
When dividing 157 by 71, we get 2 with a remainder of 15.
The next digit of our result is 2. 
Result so far: 82.0
Deduct 142 from 157 and we're left with 15.
Append the next digit (0) from the dividend to 15 and continue with: 150 / 71

Let's proceed to step 5:
71 can be fit into 150 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 822.0
The remainder is 8 after subtracting 142 from 150.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 71

Advancing to step 6:
If we divide 85 by 71, we get 1 and a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 8221.0
Subtract 71 from 85 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
If we divide 140 by 71, we get 1 and a remainder of 69.
Write down 1 as next digit of the result. 
Result so far: 8221.1
The remainder is 69 after subtracting 71 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 8:
The number 71 fits into 690 9 times, leaving a remainder of 51.
The next digit of our result is 9. 
Result so far: 8221.19
Subtracting 639 from 690 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 9:
If we divide 510 by 71, we get 7 and a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 8221.197
Subtract 497 from 510 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 10:
71 can be fit into 130 1 times, resulting in a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 8221.1971
Subtract 71 from 130 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 11:
71 can be fit into 590 8 times, resulting in a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 8221.19718
The remainder is 22 after subtracting 568 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 12:
When dividing 220 by 71, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 8221.197183
The remainder is 7 after subtracting 213 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 13:
71 can be fit into 70 0 times, resulting in a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 8221.197183
Deduct 0 from 70 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 14:
The number 71 fits into 700 9 times, leaving a remainder of 61.
The next digit of our result is 9. 
Result so far: 8221.19718309
The remainder is 61 after subtracting 639 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

In conclusion, the division gives 8221.19718309 with a balance of 6.1e-08.