666821 ÷ 44 
Let's see how many times 44 fits into 666821.

Step 1:
If we divide 6 by 44, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 44

Step 2:
The number 44 fits into 66 1 times, leaving a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 44 from 66 to get 22.
Append the next digit (6) from the dividend to 22 and continue with: 226 / 44

Step 3:
The number 44 fits into 226 5 times, leaving a remainder of 6.
The next digit of our result is 5. 
Result so far: 15.0
If we subtract 220 from 226, we get 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 44

Going ahead to step 4:
When dividing 68 by 44, we get 1 with a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 151.0
Deduct 44 from 68 and we're left with 24.
Include the next digit (2) from the dividend after 24, then repeat: 242 / 44

Moving on to step 5:
If we divide 242 by 44, we get 5 and a remainder of 22.
Record the quotient 5 as the next digit in the result. 
Result so far: 1515.0
The remainder is 22 after subtracting 220 from 242.
Bring next digit (1) of the dividend behind the 22 and repeat the process: 221 / 44

Advancing to step 6:
44 goes into 221 5 times with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 15155.0
Subtracting 220 from 221 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
10 divided by 44 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 15155.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
44 goes into 100 2 times with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 15155.02
If we take 88 away from 100, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
44 can be fit into 120 2 times, resulting in a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 15155.022
The remainder is 32 after subtracting 88 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 15155.022 with a remainder of 0.0032.