337383 ÷ 81 
Our goal is to divide 337383 by 81.

Advancing to step 1:
When dividing 3 by 81, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 81

Let's proceed to step 2:
33 divided by 81 is 0 with a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Include the next digit (7) from the dividend after 33, then repeat: 337 / 81

Going ahead to step 3:
When dividing 337 by 81, we get 4 with a remainder of 13.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 324 from 337 leaves us with 13.
Append the next digit (3) from the dividend to 13 and continue with: 133 / 81

Advancing to step 4:
The number 81 fits into 133 1 times, leaving a remainder of 52.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
Subtracting 81 from 133 leaves us with 52.
Include the next digit (8) from the dividend after 52, then repeat: 528 / 81

Moving on to step 5:
When dividing 528 by 81, we get 6 with a remainder of 42.
Use 6 as the next digit of our solution. 
Result so far: 416.0
The remainder is 42 after subtracting 486 from 528.
Include the next digit (3) from the dividend after 42, then repeat: 423 / 81

On to step 6:
423 divided by 81 is 5 with a remainder of 18.
Record the quotient 5 as the next digit in the result. 
Result so far: 4165.0
If we subtract 405 from 423, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 7:
180 divided by 81 is 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 4165.2
If we subtract 162 from 180, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 8:
When dividing 180 by 81, we get 2 with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 4165.22
If we subtract 162 from 180, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 4165.22 with a balance of 0.018.