663654 ÷ 44 
Our goal is to divide 663654 by 44.

Moving on to step 1:
When dividing 6 by 44, we get 0 with 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.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 44

On 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.
Bring next digit (3) of the dividend behind the 22 and repeat the process: 223 / 44

Going ahead to step 3:
44 goes into 223 5 times with a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we subtract 220 from 223, we get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 44

Step 4:
When dividing 36 by 44, we get 0 with a remainder of 36.
Put 0 as the next digit of the answer. 
Result so far: 150.0
If we subtract 0 from 36, we get 36.
Include the next digit (5) from the dividend after 36, then repeat: 365 / 44

Advancing to step 5:
44 goes into 365 8 times with a remainder of 13.
Put 8 as the next digit of the answer. 
Result so far: 1508.0
Subtracting 352 from 365 leaves us with 13.
Take the next digit (4) from the dividend and append it to 13, then repeat: 134 / 44

Moving on to step 6:
134 divided by 44 is 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 15083.0
Deduct 132 from 134 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
If we divide 20 by 44, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 15083.0
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
When dividing 200 by 44, we get 4 with a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 15083.04
The remainder is 24 after subtracting 176 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
44 goes into 240 5 times with a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 15083.045
If we subtract 220 from 240, we 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.

Let's proceed to step 10:
44 can be fit into 200 4 times, resulting in a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 15083.0454
If we take 176 away from 200, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 11:
The number 44 fits into 240 5 times, leaving a remainder of 20.
The next digit of our result is 5. 
Result so far: 15083.04545
Subtract 220 from 240 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.

Step 12:
200 divided by 44 is 4 with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 15083.045454
Subtract 176 from 200 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 13:
The number 44 fits into 240 5 times, leaving a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 15083.0454545
If we take 220 away from 240, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 14:
The number 44 fits into 200 4 times, leaving a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 15083.04545454
The remainder is 24 after subtracting 176 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 15083.04545454 and a remainder of 2.4e-08.