We look at the division of 259436 by 81 
Our goal is to divide 259436 by 81.

Moving on to step 1:
The number 81 fits into 2 0 times, leaving a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 81

Moving on to step 2:
25 divided by 81 is 0 with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Include the next digit (9) from the dividend after 25, then repeat: 259 / 81

Step 3:
If we divide 259 by 81, we get 3 and a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 243 away from 259, we end up with 16.
Bring next digit (4) of the dividend behind the 16 and repeat the process: 164 / 81

Step 4:
The number 81 fits into 164 2 times, leaving a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 32.0
Deduct 162 from 164 and we're left with 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 81

Let's proceed to step 5:
23 divided by 81 is 0 with a remainder of 23.
Put 0 as the next digit of the answer. 
Result so far: 320.0
If we take 0 away from 23, we end up with 23.
Take the next digit (6) from the dividend and append it to 23, then repeat: 236 / 81

Let's proceed to step 6:
If we divide 236 by 81, we get 2 and a remainder of 74.
Put 2 as the next digit of the answer. 
Result so far: 3202.0
Subtracting 162 from 236 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 7:
740 divided by 81 is 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 3202.9
The remainder is 11 after subtracting 729 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 8:
The number 81 fits into 110 1 times, leaving a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 3202.91
If we subtract 81 from 110, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 9:
The number 81 fits into 290 3 times, leaving a remainder of 47.
Use 3 as the next digit of our solution. 
Result so far: 3202.913
If we subtract 243 from 290, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 10:
470 divided by 81 is 5 with a remainder of 65.
The next digit of our result is 5. 
Result so far: 3202.9135
Deduct 405 from 470 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 11:
81 goes into 650 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 3202.91358
If we subtract 648 from 650, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 12:
20 divided by 81 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 3202.91358
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 13:
The number 81 fits into 200 2 times, leaving a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 3202.9135802
If we subtract 162 from 200, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 14:
If we divide 380 by 81, we get 4 and a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 3202.91358024
Subtract 324 from 380 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Our division results in 3202.91358024 with a remaining 5.6e-08.