663983 ÷ 71 
Our goal is to divide 663983 by 71.

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
Subtract 0 from 6 to get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 71

On to step 2:
66 divided by 71 is 0 with a remainder of 66.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 66, we end up with 66.
Append the next digit (3) from the dividend to 66 and continue with: 663 / 71

Advancing to step 3:
If we divide 663 by 71, we get 9 and a remainder of 24.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 639 away from 663, we end up with 24.
Take the next digit (9) from the dividend and append it to 24, then repeat: 249 / 71

Going ahead to step 4:
71 goes into 249 3 times with a remainder of 36.
Use 3 as the next digit of our solution. 
Result so far: 93.0
The remainder is 36 after subtracting 213 from 249.
Bring next digit (8) of the dividend behind the 36 and repeat the process: 368 / 71

Let's proceed to step 5:
If we divide 368 by 71, we get 5 and a remainder of 13.
Record the quotient 5 as the next digit in the result. 
Result so far: 935.0
Subtract 355 from 368 to get 13.
Append the next digit (3) from the dividend to 13 and continue with: 133 / 71

Step 6:
The number 71 fits into 133 1 times, leaving a remainder of 62.
Record the quotient 1 as the next digit in the result. 
Result so far: 9351.0
Subtract 71 from 133 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 7:
71 goes into 620 8 times with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 9351.8
Subtract 568 from 620 to get 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 8:
If we divide 520 by 71, we get 7 and a remainder of 23.
The next digit of our result is 7. 
Result so far: 9351.87
If we take 497 away from 520, we end up 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.

Let's proceed to step 9:
71 can be fit into 230 3 times, resulting in a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 9351.873
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 10:
When dividing 170 by 71, we get 2 with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 9351.8732
If we subtract 142 from 170, we get 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 11:
If we divide 280 by 71, we get 3 and a remainder of 67.
The number 3 becomes the next digit in our result. 
Result so far: 9351.87323
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.

Step 12:
670 divided by 71 is 9 with a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 9351.873239
Subtracting 639 from 670 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 13:
When dividing 310 by 71, we get 4 with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 9351.8732394
Subtracting 284 from 310 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 14:
The number 71 fits into 260 3 times, leaving a remainder of 47.
The next digit of our result is 3. 
Result so far: 9351.87323943
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.

The quotient of the division is 9351.87323943, and the remainder is 4.7e-08.