44843 ÷ 15 
We want to divide 44843 by 15.

Advancing to step 1:
If we divide 4 by 15, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 15

On to step 2:
When dividing 44 by 15, we get 2 with a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 14 after subtracting 30 from 44.
Include the next digit (8) from the dividend after 14, then repeat: 148 / 15

Advancing to step 3:
15 can be fit into 148 9 times, resulting in a remainder of 13.
Put 9 as the next digit of the answer. 
Result so far: 29.0
If we take 135 away from 148, we end up with 13.
Take the next digit (4) from the dividend and append it to 13, then repeat: 134 / 15

Step 4:
15 goes into 134 8 times with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 298.0
Subtract 120 from 134 to get 14.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 15

Step 5:
143 divided by 15 is 9 with a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 2989.0
If we subtract 135 from 143, we 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.

Step 6:
If we divide 80 by 15, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 2989.5
Subtracting 75 from 80 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
15 can be fit into 50 3 times, resulting in a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 2989.53
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
The number 15 fits into 50 3 times, leaving a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 2989.533
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 2989.533 with a remaining 0.0005.