We're dividing 766590 by 66 
Our goal is to divide 766590 by 66.

Let's proceed to step 1:
66 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 66

Moving on to step 2:
When dividing 76 by 66, we get 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 66 from 76 to get 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 66

Let's proceed to step 3:
The number 66 fits into 106 1 times, leaving a remainder of 40.
The next digit of our result is 1. 
Result so far: 11.0
Subtracting 66 from 106 leaves us with 40.
Append the next digit (5) from the dividend to 40 and continue with: 405 / 66

Going ahead to step 4:
66 can be fit into 405 6 times, resulting in a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 116.0
Subtract 396 from 405 to get 9.
Fetch the next digit (9) from the dividend, attach it to 9 and continue: 99 / 66

Step 5:
The number 66 fits into 99 1 times, leaving a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 1161.0
If we subtract 66 from 99, we get 33.
Bring next digit (0) of the dividend behind the 33 and repeat the process: 330 / 66

Step 6:
66 can be fit into 330 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 11615.0
The remainder is 0 after subtracting 330 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 7:
If we divide 0 by 66, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 11615.0
Deduct 0 from 0 and we're left 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:
66 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 11615.0
Deduct 0 from 0 and we're left 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.

The final result is 11615.0 with a remainder of 0.0.