665335 divided by 44 
We want to figure out the number of times 665335 can be divided by 44.

On to step 1:
44 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 44

Advancing to step 2:
44 goes into 66 1 times with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 44 from 66 and we're left with 22.
Bring next digit (5) of the dividend behind the 22 and repeat the process: 225 / 44

Moving on to step 3:
44 goes into 225 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 220 away from 225, we end up with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 44

Moving on to step 4:
When dividing 53 by 44, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 151.0
Subtract 44 from 53 to get 9.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 44

Let's proceed to step 5:
The number 44 fits into 93 2 times, leaving a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 1512.0
If we take 88 away from 93, we end up with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 44

Moving on to step 6:
55 divided by 44 is 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 15121.0
Subtract 44 from 55 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
The number 44 fits into 110 2 times, leaving a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 15121.2
The remainder is 22 after subtracting 88 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 8:
If we divide 220 by 44, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 15121.25
If we subtract 220 from 220, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
If we divide 0 by 44, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 15121.25
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
If we divide 0 by 44, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 15121.25
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 15121.25 and a remainder of 0.0.