257111 ÷ 81 
We want to figure out the number of times 257111 can be divided by 81.

Going ahead to step 1:
When dividing 2 by 81, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 81

Going ahead to step 2:
81 goes into 25 0 times with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 81

Moving on to step 3:
When dividing 257 by 81, we get 3 with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 243 from 257 and we're left with 14.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 81

Advancing to step 4:
When dividing 141 by 81, we get 1 with a remainder of 60.
Write down 1 as next digit of the result. 
Result so far: 31.0
Subtracting 81 from 141 leaves us with 60.
Bring next digit (1) of the dividend behind the 60 and repeat the process: 601 / 81

On to step 5:
If we divide 601 by 81, we get 7 and a remainder of 34.
The next digit of our result is 7. 
Result so far: 317.0
If we subtract 567 from 601, we get 34.
Append the next digit (1) from the dividend to 34 and continue with: 341 / 81

Moving on to step 6:
When dividing 341 by 81, we get 4 with a remainder of 17.
Write down 4 as next digit of the result. 
Result so far: 3174.0
The remainder is 17 after subtracting 324 from 341.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
81 goes into 170 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 3174.2
If we subtract 162 from 170, we get 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 8:
The number 81 fits into 80 0 times, leaving a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 3174.2
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 9:
800 divided by 81 is 9 with a remainder of 71.
Use 9 as the next digit of our solution. 
Result so far: 3174.209
Subtract 729 from 800 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 10:
The number 81 fits into 710 8 times, leaving a remainder of 62.
Record the quotient 8 as the next digit in the result. 
Result so far: 3174.2098
Subtracting 648 from 710 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 11:
When dividing 620 by 81, we get 7 with a remainder of 53.
The next digit of our result is 7. 
Result so far: 3174.20987
Subtracting 567 from 620 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 12:
81 goes into 530 6 times with a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 3174.209876
Subtract 486 from 530 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 13:
When dividing 440 by 81, we get 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 3174.2098765
Subtracting 405 from 440 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 14:
When dividing 350 by 81, we get 4 with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 3174.20987654
If we subtract 324 from 350, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Our division results in 3174.20987654 with a remaining 2.6e-08.