405 ÷ 81 
We're looking to find how many times 81 goes into 405.

Let's proceed to step 1:
4 divided by 81 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 81

Going ahead to step 2:
When dividing 40 by 81, we get 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 40 after subtracting 0 from 40.
Fetch the next digit (5) from the dividend, attach it to 40 and continue: 405 / 81

Moving on to step 3:
405 divided by 81 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 405 from 405 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 4:
If we divide 0 by 81, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 5:
When dividing 0 by 81, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 5.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 5.0 with a balance of 0.0.