We look at the division of 258234 by 81 
We want to divide 258234 by 81.

Let's proceed to step 1:
81 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 81

Step 2:
When dividing 25 by 81, we get 0 with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Grab the next digit (8) from the dividend, add it to 25, then carry on: 258 / 81

Advancing to step 3:
81 can be fit into 258 3 times, resulting in a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 243 from 258 leaves us with 15.
Take the next digit (2) from the dividend and append it to 15, then repeat: 152 / 81

On to step 4:
If we divide 152 by 81, we get 1 and a remainder of 71.
Record the quotient 1 as the next digit in the result. 
Result so far: 31.0
If we subtract 81 from 152, we get 71.
Append the next digit (3) from the dividend to 71 and continue with: 713 / 81

On to step 5:
The number 81 fits into 713 8 times, leaving a remainder of 65.
The number 8 becomes the next digit in our result. 
Result so far: 318.0
The remainder is 65 after subtracting 648 from 713.
Bring next digit (4) of the dividend behind the 65 and repeat the process: 654 / 81

Going ahead to step 6:
81 can be fit into 654 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 3188.0
If we take 648 away from 654, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
81 can be fit into 60 0 times, resulting in a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 3188.0
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 8:
600 divided by 81 is 7 with a remainder of 33.
The next digit of our result is 7. 
Result so far: 3188.07
Deduct 567 from 600 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 9:
When dividing 330 by 81, we get 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 3188.074
If we subtract 324 from 330, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
When dividing 60 by 81, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 3188.074
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 11:
When dividing 600 by 81, we get 7 with a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 3188.07407
If we subtract 567 from 600, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 12:
If we divide 330 by 81, we get 4 and a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 3188.074074
If we subtract 324 from 330, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 13:
81 goes into 60 0 times with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 3188.074074
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 14:
If we divide 600 by 81, we get 7 and a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 3188.07407407
Subtracting 567 from 600 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final result is 3188.07407407 with a remainder of 3.3e-08.