We're dividing 257010 by 81 
We want to divide 257010 by 81.

Going ahead to step 1:
2 divided by 81 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 81

Let's proceed to step 2:
When dividing 25 by 81, we get 0 with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Grab the next digit (7) from the dividend, add it to 25, then carry on: 257 / 81

Advancing to step 3:
If we divide 257 by 81, we get 3 and a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 243 from 257 and we're left with 14.
Append the next digit (0) from the dividend to 14 and continue with: 140 / 81

Let's proceed to step 4:
When dividing 140 by 81, we get 1 with a remainder of 59.
The next digit of our result is 1. 
Result so far: 31.0
If we take 81 away from 140, we end up with 59.
Append the next digit (1) from the dividend to 59 and continue with: 591 / 81

Advancing to step 5:
If we divide 591 by 81, we get 7 and a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 317.0
If we take 567 away from 591, we end up with 24.
Grab the next digit (0) from the dividend, add it to 24, then carry on: 240 / 81

Advancing to step 6:
If we divide 240 by 81, we get 2 and a remainder of 78.
Write down 2 as next digit of the result. 
Result so far: 3172.0
Deduct 162 from 240 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 7:
81 can be fit into 780 9 times, resulting in a remainder of 51.
Use 9 as the next digit of our solution. 
Result so far: 3172.9
Subtracting 729 from 780 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 8:
When dividing 510 by 81, we get 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 3172.96
The remainder is 24 after subtracting 486 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 9:
81 goes into 240 2 times with a remainder of 78.
Write down 2 as next digit of the result. 
Result so far: 3172.962
The remainder is 78 after subtracting 162 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 10:
When dividing 780 by 81, we get 9 with a remainder of 51.
The next digit of our result is 9. 
Result so far: 3172.9629
If we subtract 729 from 780, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 11:
510 divided by 81 is 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 3172.96296
If we take 486 away from 510, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 12:
When dividing 240 by 81, we get 2 with a remainder of 78.
The next digit of our result is 2. 
Result so far: 3172.962962
If we subtract 162 from 240, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Advancing to step 13:
If we divide 780 by 81, we get 9 and a remainder of 51.
The number 9 becomes the next digit in our result. 
Result so far: 3172.9629629
The remainder is 51 after subtracting 729 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Moving on to step 14:
When dividing 510 by 81, we get 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 3172.96296296
If we take 486 away from 510, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 3172.96296296 with a balance of 2.4e-08.