Let's divide 633721 by 71
Our goal is to divide 633721 by 71.

Moving on to step 1:
When dividing 6 by 71, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 71

Advancing to step 2:
If we divide 63 by 71, we get 0 and a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 63 leaves us with 63.
Fetch the next digit (3) from the dividend, attach it to 63 and continue: 633 / 71

Going ahead to step 3:
633 divided by 71 is 8 with a remainder of 65.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 65 after subtracting 568 from 633.
Include the next digit (7) from the dividend after 65, then repeat: 657 / 71

Step 4:
657 divided by 71 is 9 with a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 89.0
Subtract 639 from 657 to get 18.
Append the next digit (2) from the dividend to 18 and continue with: 182 / 71

Moving on to step 5:
If we divide 182 by 71, we get 2 and a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 892.0
Subtracting 142 from 182 leaves us with 40.
Append the next digit (1) from the dividend to 40 and continue with: 401 / 71

Advancing to step 6:
If we divide 401 by 71, we get 5 and a remainder of 46.
The next digit of our result is 5. 
Result so far: 8925.0
Subtracting 355 from 401 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 7:
460 divided by 71 is 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 8925.6
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.

Let's proceed to step 8:
When dividing 340 by 71, we get 4 with a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 8925.64
If we take 284 away from 340, we end up with 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 9:
If we divide 560 by 71, we get 7 and a remainder of 63.
Write down 7 as next digit of the result. 
Result so far: 8925.647
Deduct 497 from 560 and we're left 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.

Going ahead to step 10:
The number 71 fits into 630 8 times, leaving a remainder of 62.
Record the quotient 8 as the next digit in the result. 
Result so far: 8925.6478
Subtract 568 from 630 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 11:
71 goes into 620 8 times with a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 8925.64788
Subtracting 568 from 620 leaves us 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.

The final outcome is 8925.64788, with a leftover of 5.2e-05.