We're dividing 4415390 by 666 
We're looking to find how many times 666 goes into 4415390.

Step 1:
666 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 666

On to step 2:
44 divided by 666 is 0 with a remainder of 44.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 44 after subtracting 0 from 44.
Fetch the next digit (1) from the dividend, attach it to 44 and continue: 441 / 666

Moving on to step 3:
666 can be fit into 441 0 times, resulting in a remainder of 441.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 441 leaves us with 441.
Append the next digit (5) from the dividend to 441 and continue with: 4415 / 666

Let's proceed to step 4:
666 can be fit into 4415 6 times, resulting in a remainder of 419.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 419 after subtracting 3996 from 4415.
Fetch the next digit (3) from the dividend, attach it to 419 and continue: 4193 / 666

On to step 5:
If we divide 4193 by 666, we get 6 and a remainder of 197.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
Subtracting 3996 from 4193 leaves us with 197.
Include the next digit (9) from the dividend after 197, then repeat: 1979 / 666

Moving on to step 6:
If we divide 1979 by 666, we get 2 and a remainder of 647.
Write down 2 as next digit of the result. 
Result so far: 662.0
Subtract 1332 from 1979 to get 647.
Append the next digit (0) from the dividend to 647 and continue with: 6470 / 666

Step 7:
The number 666 fits into 6470 9 times, leaving a remainder of 476.
Put 9 as the next digit of the answer. 
Result so far: 6629.0
The remainder is 476 after subtracting 5994 from 6470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4760, and continue the process.

Step 8:
4760 divided by 666 is 7 with a remainder of 98.
Write down 7 as next digit of the result. 
Result so far: 6629.7
Subtracting 4662 from 4760 leaves us with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Step 9:
666 goes into 980 1 times with a remainder of 314.
Write down 1 as next digit of the result. 
Result so far: 6629.71
Subtracting 666 from 980 leaves us with 314.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3140, and continue the process.

Let's proceed to step 10:
3140 divided by 666 is 4 with a remainder of 476.
Write down 4 as next digit of the result. 
Result so far: 6629.714
If we subtract 2664 from 3140, we get 476.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4760, and continue the process.

Step 11:
When dividing 4760 by 666, we get 7 with a remainder of 98.
The next digit of our result is 7. 
Result so far: 6629.7147
Subtracting 4662 from 4760 leaves us with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Advancing to step 12:
If we divide 980 by 666, we get 1 and a remainder of 314.
The number 1 becomes the next digit in our result. 
Result so far: 6629.71471
Deduct 666 from 980 and we're left with 314.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3140, and continue the process.

Let's proceed to step 13:
If we divide 3140 by 666, we get 4 and a remainder of 476.
Put 4 as the next digit of the answer. 
Result so far: 6629.714714
If we subtract 2664 from 3140, we get 476.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4760, and continue the process.

Let's proceed to step 14:
When dividing 4760 by 666, we get 7 with a remainder of 98.
Record the quotient 7 as the next digit in the result. 
Result so far: 6629.7147147
Subtracting 4662 from 4760 leaves us with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Advancing to step 15:
980 divided by 666 is 1 with a remainder of 314.
Record the quotient 1 as the next digit in the result. 
Result so far: 6629.71471471
If we take 666 away from 980, we end up with 314.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3140, and continue the process.

After the division, we end up with 6629.71471471 and a remainder of 3.14e-07.