76666 ÷ 77 
We want to divide 76666 by 77.

On to step 1:
7 divided by 77 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 77

Let's proceed to step 2:
76 divided by 77 is 0 with a remainder of 76.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 76 after subtracting 0 from 76.
Bring next digit (6) of the dividend behind the 76 and repeat the process: 766 / 77

Advancing to step 3:
766 divided by 77 is 9 with a remainder of 73.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 73 after subtracting 693 from 766.
Bring next digit (6) of the dividend behind the 73 and repeat the process: 736 / 77

Let's proceed to step 4:
If we divide 736 by 77, we get 9 and a remainder of 43.
Write down 9 as next digit of the result. 
Result so far: 99.0
The remainder is 43 after subtracting 693 from 736.
Take the next digit (6) from the dividend and append it to 43, then repeat: 436 / 77

Let's proceed to step 5:
77 can be fit into 436 5 times, resulting in a remainder of 51.
The next digit of our result is 5. 
Result so far: 995.0
The remainder is 51 after subtracting 385 from 436.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 6:
77 can be fit into 510 6 times, resulting in a remainder of 48.
The next digit of our result is 6. 
Result so far: 995.6
Deduct 462 from 510 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 7:
The number 77 fits into 480 6 times, leaving a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 995.66
Deduct 462 from 480 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

After the division, we end up with 995.66 and a remainder of 0.018.