We're dividing 9086775 by 666 
We want to figure out the number of times 9086775 can be divided by 666.

Step 1:
If we divide 9 by 666, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 666

Going ahead to step 2:
The number 666 fits into 90 0 times, leaving a remainder of 90.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 90, we end up with 90.
Include the next digit (8) from the dividend after 90, then repeat: 908 / 666

Going ahead to step 3:
If we divide 908 by 666, we get 1 and a remainder of 242.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 666 from 908 leaves us with 242.
Fetch the next digit (6) from the dividend, attach it to 242 and continue: 2426 / 666

Step 4:
666 goes into 2426 3 times with a remainder of 428.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 1998 from 2426 to get 428.
Fetch the next digit (7) from the dividend, attach it to 428 and continue: 4287 / 666

Advancing to step 5:
4287 divided by 666 is 6 with a remainder of 291.
Put 6 as the next digit of the answer. 
Result so far: 136.0
Deduct 3996 from 4287 and we're left with 291.
Grab the next digit (7) from the dividend, add it to 291, then carry on: 2917 / 666

Step 6:
When dividing 2917 by 666, we get 4 with a remainder of 253.
Write down 4 as next digit of the result. 
Result so far: 1364.0
The remainder is 253 after subtracting 2664 from 2917.
Append the next digit (5) from the dividend to 253 and continue with: 2535 / 666

Moving on to step 7:
666 can be fit into 2535 3 times, resulting in a remainder of 537.
The next digit of our result is 3. 
Result so far: 13643.0
Deduct 1998 from 2535 and we're left with 537.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5370, and continue the process.

Step 8:
666 goes into 5370 8 times with a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 13643.8
Subtracting 5328 from 5370 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 9:
420 divided by 666 is 0 with a remainder of 420.
The next digit of our result is 0. 
Result so far: 13643.8
Subtracting 0 from 420 leaves us with 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Going ahead to step 10:
The number 666 fits into 4200 6 times, leaving a remainder of 204.
Put 6 as the next digit of the answer. 
Result so far: 13643.806
The remainder is 204 after subtracting 3996 from 4200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2040, and continue the process.

Advancing to step 11:
2040 divided by 666 is 3 with a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 13643.8063
If we subtract 1998 from 2040, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 12:
The number 666 fits into 420 0 times, leaving a remainder of 420.
Write down 0 as next digit of the result. 
Result so far: 13643.8063
If we subtract 0 from 420, we get 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Let's proceed to step 13:
666 goes into 4200 6 times with a remainder of 204.
Record the quotient 6 as the next digit in the result. 
Result so far: 13643.806306
If we subtract 3996 from 4200, we get 204.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2040, and continue the process.

Moving on to step 14:
If we divide 2040 by 666, we get 3 and a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 13643.8063063
Subtracting 1998 from 2040 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 15:
666 can be fit into 420 0 times, resulting in a remainder of 420.
Put 0 as the next digit of the answer. 
Result so far: 13643.8063063
Deduct 0 from 420 and we're left with 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

In conclusion, the division gives 13643.8063063 with a balance of 4.2e-07.