660311 ÷ 44 
Our goal is to divide 660311 by 44.

Let's proceed to step 1:
The number 44 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 44

Let's proceed to step 2:
44 can be fit into 66 1 times, resulting in a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 44 from 66, we get 22.
Grab the next digit (0) from the dividend, add it to 22, then carry on: 220 / 44

Moving on to step 3:
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: 15.0
Subtract 220 from 220 to get 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 44

Let's proceed to step 4:
The number 44 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 150.0
Subtract 0 from 3 to get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 44

Let's proceed to step 5:
When dividing 31 by 44, we get 0 with a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 1500.0
Subtract 0 from 31 to get 31.
Grab the next digit (1) from the dividend, add it to 31, then carry on: 311 / 44

Moving on to step 6:
When dividing 311 by 44, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 15007.0
Subtracting 308 from 311 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
44 goes into 30 0 times with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 15007.0
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
44 goes into 300 6 times with a remainder of 36.
Put 6 as the next digit of the answer. 
Result so far: 15007.06
The remainder is 36 after subtracting 264 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
44 goes into 360 8 times with a remainder of 8.
The next digit of our result is 8. 
Result so far: 15007.068
The remainder is 8 after subtracting 352 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
When dividing 80 by 44, we get 1 with a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 15007.0681
Deduct 44 from 80 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 11:
When dividing 360 by 44, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 15007.06818
If we take 352 away from 360, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 12:
80 divided by 44 is 1 with a remainder of 36.
Record the quotient 1 as the next digit in the result. 
Result so far: 15007.068181
The remainder is 36 after subtracting 44 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 13:
If we divide 360 by 44, we get 8 and a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 15007.0681818
Subtract 352 from 360 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 14:
44 goes into 80 1 times with a remainder of 36.
The next digit of our result is 1. 
Result so far: 15007.06818181
Deduct 44 from 80 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Our division results in 15007.06818181 with a remaining 3.6e-08.