3866 ÷ 44 
We're looking to find how many times 44 goes into 3866.

On to step 1:
When dividing 3 by 44, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 44

On to step 2:
44 can be fit into 38 0 times, resulting in a remainder of 38.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 38, we get 38.
Take the next digit (6) from the dividend and append it to 38, then repeat: 386 / 44

On to step 3:
386 divided by 44 is 8 with a remainder of 34.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 352 from 386 and we're left with 34.
Append the next digit (6) from the dividend to 34 and continue with: 346 / 44

Step 4:
346 divided by 44 is 7 with a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 87.0
Deduct 308 from 346 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 5:
When dividing 380 by 44, we get 8 with a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 87.8
Subtracting 352 from 380 leaves us 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.

Step 6:
The number 44 fits into 280 6 times, leaving a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 87.86
Subtracting 264 from 280 leaves us 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.

Moving on to step 7:
If we divide 160 by 44, we get 3 and a remainder of 28.
The number 3 becomes the next digit in our result. 
Result so far: 87.863
If we subtract 132 from 160, we 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.

Let's proceed to step 8:
44 can be fit into 280 6 times, resulting in a remainder of 16.
The next digit of our result is 6. 
Result so far: 87.8636
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 9:
44 can be fit into 160 3 times, resulting in a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 87.86363
If we subtract 132 from 160, we 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.

Going ahead to step 10:
If we divide 280 by 44, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 87.863636
Deduct 264 from 280 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.

Moving on to step 11:
If we divide 160 by 44, we get 3 and a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 87.8636363
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.

Advancing to step 12:
When dividing 280 by 44, we get 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 87.86363636
Subtracting 264 from 280 leaves us 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.

The quotient of the division is 87.86363636, and the remainder is 1.6e-08.