66180 ÷ 44 
Our goal is to divide 66180 by 44.

Advancing to step 1:
The number 44 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
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

Moving 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
Deduct 44 from 66 and we're left with 22.
Fetch the next digit (1) from the dividend, attach it to 22 and continue: 221 / 44

Step 3:
44 can be fit into 221 5 times, resulting in a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 15.0
The remainder is 1 after subtracting 220 from 221.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 44

Going ahead to step 4:
The number 44 fits into 18 0 times, leaving a remainder of 18.
Use 0 as the next digit of our solution. 
Result so far: 150.0
Deduct 0 from 18 and we're left with 18.
Bring next digit (0) of the dividend behind the 18 and repeat the process: 180 / 44

Moving on to step 5:
If we divide 180 by 44, we get 4 and a remainder of 4.
The next digit of our result is 4. 
Result so far: 1504.0
Subtract 176 from 180 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 6:
44 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 1504.0
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 7:
44 can be fit into 400 9 times, resulting in a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 1504.09
The remainder is 4 after subtracting 396 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
If we divide 40 by 44, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 1504.09
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
44 can be fit into 400 9 times, resulting in a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 1504.0909
If we take 396 away from 400, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
40 divided by 44 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 1504.0909
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 11:
44 can be fit into 400 9 times, resulting in a remainder of 4.
The next digit of our result is 9. 
Result so far: 1504.090909
Subtract 396 from 400 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 12:
40 divided by 44 is 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 1504.090909
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 13:
44 can be fit into 400 9 times, resulting in a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 1504.09090909
If we take 396 away from 400, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 1504.09090909, and the remainder is 4e-09.