4043 ÷ 15 
Our goal is to divide 4043 by 15.

Moving on to step 1:
4 divided by 15 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 15

On to step 2:
The number 15 fits into 40 2 times, leaving a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 30 away from 40, we end up with 10.
Grab the next digit (4) from the dividend, add it to 10, then carry on: 104 / 15

Going ahead to step 3:
The number 15 fits into 104 6 times, leaving a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 26.0
Deduct 90 from 104 and we're left with 14.
Take the next digit (3) from the dividend and append it to 14, then repeat: 143 / 15

Advancing to step 4:
The number 15 fits into 143 9 times, leaving a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 269.0
Subtract 135 from 143 to 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.

On to step 5:
If we divide 80 by 15, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 269.5
If we take 75 away from 80, we end up 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.

Step 6:
The number 15 fits into 50 3 times, leaving a remainder of 5.
The next digit of our result is 3. 
Result so far: 269.53
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.

Step 7:
15 can be fit into 50 3 times, resulting in a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 269.533
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.

Our division results in 269.533 with a remaining 0.0005.