256261 ÷ 8 
We want to divide 256261 by 8.

Advancing to step 1:
8 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 8

Going ahead to step 2:
8 goes into 25 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 24 from 25 leaves us with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 8

Moving on to step 3:
When dividing 16 by 8, we get 2 with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 32.0
Deduct 16 from 16 and we're left with 0.
Append the next digit (2) from the dividend to 0 and continue with: 2 / 8

Advancing to step 4:
8 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 320.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 8

Let's proceed to step 5:
If we divide 26 by 8, we get 3 and a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 3203.0
If we subtract 24 from 26, we get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 8

Step 6:
The number 8 fits into 21 2 times, leaving a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 32032.0
Subtracting 16 from 21 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.

On to step 7:
8 can be fit into 50 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 32032.6
If we take 48 away from 50, we end up 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 8:
20 divided by 8 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 32032.62
The remainder is 4 after subtracting 16 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
8 can be fit into 40 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 32032.625
Deduct 40 from 40 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
If we divide 0 by 8, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 32032.625
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 11:
When dividing 0 by 8, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 32032.625
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 32032.625 with a balance of 0.0.