We're dividing 256458 by 13 
We want to divide 256458 by 13.

On to step 1:
2 divided by 13 is 0 with a remainder of 2.
The next digit of our result is 0. 
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 / 13

On to step 2:
13 goes into 25 1 times with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 12 after subtracting 13 from 25.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 13

Going ahead to step 3:
The number 13 fits into 126 9 times, leaving a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
Deduct 117 from 126 and we're left with 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 13

Let's proceed to step 4:
13 can be fit into 94 7 times, resulting in a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 197.0
If we subtract 91 from 94, we get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 13

Let's proceed to step 5:
If we divide 35 by 13, we get 2 and a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 1972.0
Subtracting 26 from 35 leaves us with 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 13

On to step 6:
If we divide 98 by 13, we get 7 and a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 19727.0
If we take 91 away from 98, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 19727.5
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
If we divide 50 by 13, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 19727.53
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 9:
If we divide 110 by 13, we get 8 and a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 19727.538
Subtracting 104 from 110 leaves us 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.

Advancing to step 10:
60 divided by 13 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 19727.5384
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
When dividing 80 by 13, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 19727.53846
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 12:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 19727.538461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
13 goes into 70 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 19727.5384615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 14:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 19727.53846153
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

After the division, we end up with 19727.53846153 and a remainder of 1.1e-08.