We're dividing 40343 by 15 
Our goal is to divide 40343 by 15.

Moving on to step 1:
When dividing 4 by 15, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 15

Going ahead to step 2:
15 goes into 40 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 30 away from 40, we end up with 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 15

Advancing to step 3:
The number 15 fits into 103 6 times, leaving a remainder of 13.
Put 6 as the next digit of the answer. 
Result so far: 26.0
If we take 90 away from 103, we end up with 13.
Append the next digit (4) from the dividend to 13 and continue with: 134 / 15

Let's proceed to step 4:
15 can be fit into 134 8 times, resulting in a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 268.0
Deduct 120 from 134 and we're left with 14.
Take the next digit (3) from the dividend and append it to 14, then repeat: 143 / 15

Moving on to step 5:
143 divided by 15 is 9 with a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 2689.0
Deduct 135 from 143 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 6:
The number 15 fits into 80 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 2689.5
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.

Going ahead to step 7:
If we divide 50 by 15, we get 3 and a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 2689.53
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
The number 15 fits into 50 3 times, leaving a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 2689.533
If we take 45 away from 50, 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.

The quotient of the division is 2689.533, and the remainder is 0.0005.