We divide 635583 by 71
Our goal is to divide 635583 by 71.

Moving on to step 1:
6 divided by 71 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 71

Moving on to step 2:
71 can be fit into 63 0 times, resulting in a remainder of 63.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 63 after subtracting 0 from 63.
Grab the next digit (5) from the dividend, add it to 63, then carry on: 635 / 71

Going ahead to step 3:
635 divided by 71 is 8 with a remainder of 67.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 568 away from 635, we end up with 67.
Bring next digit (5) of the dividend behind the 67 and repeat the process: 675 / 71

Moving on to step 4:
The number 71 fits into 675 9 times, leaving a remainder of 36.
The next digit of our result is 9. 
Result so far: 89.0
The remainder is 36 after subtracting 639 from 675.
Bring next digit (8) of the dividend behind the 36 and repeat the process: 368 / 71

Moving on to step 5:
When dividing 368 by 71, we get 5 with a remainder of 13.
Record the quotient 5 as the next digit in the result. 
Result so far: 895.0
Subtract 355 from 368 to get 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 71

On to step 6:
133 divided by 71 is 1 with a remainder of 62.
Use 1 as the next digit of our solution. 
Result so far: 8951.0
If we take 71 away from 133, 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.

Advancing to step 7:
When dividing 620 by 71, we get 8 with a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 8951.8
If we take 568 away from 620, we end up 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.

Going ahead to step 8:
71 goes into 520 7 times with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 8951.87
Subtracting 497 from 520 leaves us 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.

On to step 9:
71 can be fit into 230 3 times, resulting in a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 8951.873
Deduct 213 from 230 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 10:
If we divide 170 by 71, we get 2 and a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 8951.8732
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.

Step 11:
280 divided by 71 is 3 with a remainder of 67.
Record the quotient 3 as the next digit in the result. 
Result so far: 8951.87323
Subtract 213 from 280 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 12:
If we divide 670 by 71, we get 9 and a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 8951.873239
If we subtract 639 from 670, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 13:
If we divide 310 by 71, we get 4 and a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 8951.8732394
Subtract 284 from 310 to get 26.
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 14:
71 can be fit into 260 3 times, resulting in a remainder of 47.
The next digit of our result is 3. 
Result so far: 8951.87323943
Subtracting 213 from 260 leaves us 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.

In conclusion, the division gives 8951.87323943 with a balance of 4.7e-08.