We look at the division of 43968617 by 666 
Let's see how many times 666 fits into 43968617.

Going ahead to step 1:
666 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 666

Step 2:
666 can be fit into 43 0 times, resulting in a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Grab the next digit (9) from the dividend, add it to 43, then carry on: 439 / 666

Let's proceed to step 3:
439 divided by 666 is 0 with a remainder of 439.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 439 leaves us with 439.
Append the next digit (6) from the dividend to 439 and continue with: 4396 / 666

Going ahead to step 4:
666 goes into 4396 6 times with a remainder of 400.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 3996 from 4396 to get 400.
Fetch the next digit (8) from the dividend, attach it to 400 and continue: 4008 / 666

On to step 5:
666 can be fit into 4008 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
If we subtract 3996 from 4008, we get 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 666

Step 6:
The number 666 fits into 126 0 times, leaving a remainder of 126.
The next digit of our result is 0. 
Result so far: 660.0
If we take 0 away from 126, we end up with 126.
Grab the next digit (1) from the dividend, add it to 126, then carry on: 1261 / 666

Going ahead to step 7:
666 goes into 1261 1 times with a remainder of 595.
Put 1 as the next digit of the answer. 
Result so far: 6601.0
Subtracting 666 from 1261 leaves us with 595.
Take the next digit (7) from the dividend and append it to 595, then repeat: 5957 / 666

Moving on to step 8:
5957 divided by 666 is 8 with a remainder of 629.
Write down 8 as next digit of the result. 
Result so far: 66018.0
If we take 5328 away from 5957, we end up with 629.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6290, and continue the process.

Step 9:
666 goes into 6290 9 times with a remainder of 296.
Record the quotient 9 as the next digit in the result. 
Result so far: 66018.9
Subtracting 5994 from 6290 leaves us with 296.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2960, and continue the process.

Let's proceed to step 10:
When dividing 2960 by 666, we get 4 with a remainder of 296.
The next digit of our result is 4. 
Result so far: 66018.94
Deduct 2664 from 2960 and we're left with 296.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2960, and continue the process.

On to step 11:
When dividing 2960 by 666, we get 4 with a remainder of 296.
Use 4 as the next digit of our solution. 
Result so far: 66018.944
Subtract 2664 from 2960 to get 296.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2960, and continue the process.

The quotient of the division is 66018.944, and the remainder is 0.0296.