389943 ÷ 44 
We're looking to find how many times 44 goes into 389943.

Let's proceed to step 1:
44 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 44

Moving on to step 2:
The number 44 fits into 38 0 times, leaving a remainder of 38.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 38, we end up with 38.
Append the next digit (9) from the dividend to 38 and continue with: 389 / 44

Moving on to step 3:
389 divided by 44 is 8 with a remainder of 37.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 352 from 389 and we're left with 37.
Include the next digit (9) from the dividend after 37, then repeat: 379 / 44

On to step 4:
If we divide 379 by 44, we get 8 and a remainder of 27.
Use 8 as the next digit of our solution. 
Result so far: 88.0
Subtracting 352 from 379 leaves us with 27.
Take the next digit (4) from the dividend and append it to 27, then repeat: 274 / 44

Going ahead to step 5:
When dividing 274 by 44, we get 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 886.0
If we subtract 264 from 274, we get 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 44

Step 6:
When dividing 103 by 44, we get 2 with a remainder of 15.
The next digit of our result is 2. 
Result so far: 8862.0
If we subtract 88 from 103, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
The number 44 fits into 150 3 times, leaving a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 8862.3
If we take 132 away from 150, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 8:
44 goes into 180 4 times with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 8862.34
If we take 176 away from 180, 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.

On to step 9:
When dividing 40 by 44, we get 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 8862.34
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.

Let's proceed to step 10:
44 goes into 400 9 times with a remainder of 4.
The next digit of our result is 9. 
Result so far: 8862.3409
Deduct 396 from 400 and we're left 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.

Step 11:
44 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 8862.3409
Subtracting 0 from 40 leaves us 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 12:
44 goes into 400 9 times with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 8862.340909
Subtracting 396 from 400 leaves us 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 13:
40 divided by 44 is 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 8862.340909
Subtract 0 from 40 to 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 14:
44 goes into 400 9 times with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 8862.34090909
If we subtract 396 from 400, we 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.

In conclusion, the division gives 8862.34090909 with a balance of 4e-09.