We're dividing 257966 by 86 
Let's see how many times 86 fits into 257966.

Going ahead to step 1:
If we divide 2 by 86, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 86

Going ahead to step 2:
If we divide 25 by 86, we get 0 and a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Grab the next digit (7) from the dividend, add it to 25, then carry on: 257 / 86

On to step 3:
257 divided by 86 is 2 with a remainder of 85.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 172 away from 257, we end up with 85.
Bring next digit (9) of the dividend behind the 85 and repeat the process: 859 / 86

Advancing to step 4:
86 goes into 859 9 times with a remainder of 85.
Use 9 as the next digit of our solution. 
Result so far: 29.0
If we take 774 away from 859, we end up with 85.
Bring next digit (6) of the dividend behind the 85 and repeat the process: 856 / 86

On to step 5:
86 goes into 856 9 times with a remainder of 82.
Put 9 as the next digit of the answer. 
Result so far: 299.0
If we subtract 774 from 856, we get 82.
Fetch the next digit (6) from the dividend, attach it to 82 and continue: 826 / 86

Advancing to step 6:
86 can be fit into 826 9 times, resulting in a remainder of 52.
Write down 9 as next digit of the result. 
Result so far: 2999.0
The remainder is 52 after subtracting 774 from 826.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 7:
The number 86 fits into 520 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 2999.6
If we take 516 away from 520, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
If we divide 40 by 86, we get 0 and a remainder of 40.
The next digit of our result is 0. 
Result so far: 2999.6
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
86 can be fit into 400 4 times, resulting in a remainder of 56.
The next digit of our result is 4. 
Result so far: 2999.604
If we subtract 344 from 400, we 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.

Advancing to step 10:
The number 86 fits into 560 6 times, leaving a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 2999.6046
Deduct 516 from 560 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 11:
If we divide 440 by 86, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 2999.60465
Subtract 430 from 440 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
If we divide 100 by 86, we get 1 and a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 2999.604651
Subtracting 86 from 100 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 13:
86 can be fit into 140 1 times, resulting in a remainder of 54.
The next digit of our result is 1. 
Result so far: 2999.6046511
The remainder is 54 after subtracting 86 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Our division results in 2999.6046511 with a remaining 5.4e-07.