We look at the division of 41119772 by 666 
We're looking to find how many times 666 goes into 41119772.

Advancing to step 1:
When dividing 4 by 666, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 666

Advancing to step 2:
The number 666 fits into 41 0 times, leaving a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Grab the next digit (1) from the dividend, add it to 41, then carry on: 411 / 666

On to step 3:
The number 666 fits into 411 0 times, leaving a remainder of 411.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 411, we get 411.
Take the next digit (1) from the dividend and append it to 411, then repeat: 4111 / 666

On to step 4:
The number 666 fits into 4111 6 times, leaving a remainder of 115.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 3996 from 4111, we get 115.
Grab the next digit (9) from the dividend, add it to 115, then carry on: 1159 / 666

Step 5:
If we divide 1159 by 666, we get 1 and a remainder of 493.
The next digit of our result is 1. 
Result so far: 61.0
Subtracting 666 from 1159 leaves us with 493.
Include the next digit (7) from the dividend after 493, then repeat: 4937 / 666

Going ahead to step 6:
666 can be fit into 4937 7 times, resulting in a remainder of 275.
Use 7 as the next digit of our solution. 
Result so far: 617.0
Subtract 4662 from 4937 to get 275.
Fetch the next digit (7) from the dividend, attach it to 275 and continue: 2757 / 666

Advancing to step 7:
When dividing 2757 by 666, we get 4 with a remainder of 93.
Use 4 as the next digit of our solution. 
Result so far: 6174.0
If we take 2664 away from 2757, we end up with 93.
Fetch the next digit (2) from the dividend, attach it to 93 and continue: 932 / 666

Step 8:
666 can be fit into 932 1 times, resulting in a remainder of 266.
The number 1 becomes the next digit in our result. 
Result so far: 61741.0
The remainder is 266 after subtracting 666 from 932.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2660, and continue the process.

Let's proceed to step 9:
2660 divided by 666 is 3 with a remainder of 662.
The number 3 becomes the next digit in our result. 
Result so far: 61741.3
If we subtract 1998 from 2660, we get 662.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6620, and continue the process.

Going ahead to step 10:
6620 divided by 666 is 9 with a remainder of 626.
The next digit of our result is 9. 
Result so far: 61741.39
If we take 5994 away from 6620, we end up with 626.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6260, and continue the process.

Step 11:
6260 divided by 666 is 9 with a remainder of 266.
Use 9 as the next digit of our solution. 
Result so far: 61741.399
The remainder is 266 after subtracting 5994 from 6260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2660, and continue the process.

After the division, we end up with 61741.399 and a remainder of 0.0266.