637666 ÷ 71 
We want to divide 637666 by 71.

Moving on to step 1:
6 divided by 71 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 71

Going ahead to step 2:
The number 71 fits into 63 0 times, leaving a remainder of 63.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 63, we end up with 63.
Append the next digit (7) from the dividend to 63 and continue with: 637 / 71

On to step 3:
71 goes into 637 8 times with a remainder of 69.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we subtract 568 from 637, we get 69.
Grab the next digit (6) from the dividend, add it to 69, then carry on: 696 / 71

On to step 4:
The number 71 fits into 696 9 times, leaving a remainder of 57.
Put 9 as the next digit of the answer. 
Result so far: 89.0
The remainder is 57 after subtracting 639 from 696.
Append the next digit (6) from the dividend to 57 and continue with: 576 / 71

Moving on to step 5:
71 can be fit into 576 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 898.0
The remainder is 8 after subtracting 568 from 576.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 71

Going ahead to step 6:
71 goes into 86 1 times with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 8981.0
Deduct 71 from 86 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
If we divide 150 by 71, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 8981.2
The remainder is 8 after subtracting 142 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
The number 71 fits into 80 1 times, leaving a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 8981.21
Deduct 71 from 80 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
71 can be fit into 90 1 times, resulting in a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 8981.211
If we subtract 71 from 90, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Our division results in 8981.211 with a remaining 0.0019.