We're dividing 666335 by 71 
We're looking to find how many times 71 goes into 666335.

Step 1:
The number 71 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 71

Moving on to step 2:
71 goes into 66 0 times with a remainder of 66.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 66, we get 66.
Grab the next digit (6) from the dividend, add it to 66, then carry on: 666 / 71

Advancing to step 3:
71 can be fit into 666 9 times, resulting in a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 639 away from 666, we end up with 27.
Bring next digit (3) of the dividend behind the 27 and repeat the process: 273 / 71

On to step 4:
If we divide 273 by 71, we get 3 and a remainder of 60.
Use 3 as the next digit of our solution. 
Result so far: 93.0
The remainder is 60 after subtracting 213 from 273.
Include the next digit (3) from the dividend after 60, then repeat: 603 / 71

Going ahead to step 5:
71 can be fit into 603 8 times, resulting in a remainder of 35.
The number 8 becomes the next digit in our result. 
Result so far: 938.0
Subtract 568 from 603 to get 35.
Grab the next digit (5) from the dividend, add it to 35, then carry on: 355 / 71

Moving on to step 6:
71 goes into 355 5 times with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 9385.0
If we subtract 355 from 355, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
71 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 9385.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
71 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 9385.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 9385.0 with a remainder of 0.0.