We divide 10766 by 71
Our goal is to divide 10766 by 71.

On to step 1:
71 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 71

Going ahead to step 2:
71 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 71

Going ahead to step 3:
The number 71 fits into 107 1 times, leaving a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 71 from 107, we get 36.
Fetch the next digit (6) from the dividend, attach it to 36 and continue: 366 / 71

Advancing to step 4:
If we divide 366 by 71, we get 5 and a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
The remainder is 11 after subtracting 355 from 366.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 71

Advancing to step 5:
If we divide 116 by 71, we get 1 and a remainder of 45.
The number 1 becomes the next digit in our result. 
Result so far: 151.0
The remainder is 45 after subtracting 71 from 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 6:
If we divide 450 by 71, we get 6 and a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 151.6
If we take 426 away from 450, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
71 can be fit into 240 3 times, resulting in a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 151.63
Subtracting 213 from 240 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 8:
71 can be fit into 270 3 times, resulting in a remainder of 57.
The number 3 becomes the next digit in our result. 
Result so far: 151.633
Subtract 213 from 270 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Our division results in 151.633 with a remaining 0.0057.