44666 ÷ 44 
Let's see how many times 44 fits into 44666.

Moving on to step 1:
The number 44 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 44

On to step 2:
If we divide 44 by 44, we get 1 and a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 44 from 44 and we're left with 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 44

On to step 3:
If we divide 6 by 44, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 44

On to step 4:
If we divide 66 by 44, we get 1 and a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 101.0
The remainder is 22 after subtracting 44 from 66.
Include the next digit (6) from the dividend after 22, then repeat: 226 / 44

On to step 5:
When dividing 226 by 44, we get 5 with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 1015.0
Subtracting 220 from 226 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 6:
If we divide 60 by 44, we get 1 and a remainder of 16.
The next digit of our result is 1. 
Result so far: 1015.1
Deduct 44 from 60 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 7:
160 divided by 44 is 3 with a remainder of 28.
The number 3 becomes the next digit in our result. 
Result so far: 1015.13
If we take 132 away from 160, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 8:
44 goes into 280 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 1015.136
The remainder is 16 after subtracting 264 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
44 goes into 160 3 times with a remainder of 28.
The next digit of our result is 3. 
Result so far: 1015.1363
Subtract 132 from 160 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 10:
44 goes into 280 6 times with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 1015.13636
The remainder is 16 after subtracting 264 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
160 divided by 44 is 3 with a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 1015.136363
If we take 132 away from 160, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 12:
44 goes into 280 6 times with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 1015.1363636
The remainder is 16 after subtracting 264 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 13:
The number 44 fits into 160 3 times, leaving a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 1015.13636363
Deduct 132 from 160 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final result is 1015.13636363 with a remainder of 2.8e-08.