Let's divide 3008522 by 666
We're looking to find how many times 666 goes into 3008522.

Moving on to step 1:
3 divided by 666 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 666

On to step 2:
666 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 30, we get 30.
Grab the next digit (0) from the dividend, add it to 30, then carry on: 300 / 666

Let's proceed to step 3:
If we divide 300 by 666, we get 0 and a remainder of 300.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 300 after subtracting 0 from 300.
Grab the next digit (8) from the dividend, add it to 300, then carry on: 3008 / 666

Step 4:
When dividing 3008 by 666, we get 4 with a remainder of 344.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 2664 from 3008 leaves us with 344.
Bring next digit (5) of the dividend behind the 344 and repeat the process: 3445 / 666

Let's proceed to step 5:
When dividing 3445 by 666, we get 5 with a remainder of 115.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
Deduct 3330 from 3445 and we're left with 115.
Bring next digit (2) of the dividend behind the 115 and repeat the process: 1152 / 666

Going ahead to step 6:
The number 666 fits into 1152 1 times, leaving a remainder of 486.
Use 1 as the next digit of our solution. 
Result so far: 451.0
If we subtract 666 from 1152, we get 486.
Take the next digit (2) from the dividend and append it to 486, then repeat: 4862 / 666

Going ahead to step 7:
When dividing 4862 by 666, we get 7 with a remainder of 200.
The next digit of our result is 7. 
Result so far: 4517.0
The remainder is 200 after subtracting 4662 from 4862.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Step 8:
If we divide 2000 by 666, we get 3 and a remainder of 2.
The next digit of our result is 3. 
Result so far: 4517.3
Subtract 1998 from 2000 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
666 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 4517.3
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 10:
666 goes into 200 0 times with a remainder of 200.
Put 0 as the next digit of the answer. 
Result so far: 4517.3
If we subtract 0 from 200, we get 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

The quotient of the division is 4517.3, and the remainder is 0.02.