We're dividing 261266 by 64 
We're looking to find how many times 64 goes into 261266.

Moving on to step 1:
2 divided by 64 is 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.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 64

Going ahead to step 2:
64 can be fit into 26 0 times, resulting in a remainder of 26.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 64

Going ahead to step 3:
When dividing 261 by 64, we get 4 with a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 5 after subtracting 256 from 261.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 64

Let's proceed to step 4:
64 can be fit into 52 0 times, resulting in a remainder of 52.
Record the quotient 0 as the next digit in the result. 
Result so far: 40.0
If we subtract 0 from 52, we get 52.
Grab the next digit (6) from the dividend, add it to 52, then carry on: 526 / 64

Moving on to step 5:
When dividing 526 by 64, we get 8 with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 408.0
Subtracting 512 from 526 leaves us with 14.
Grab the next digit (6) from the dividend, add it to 14, then carry on: 146 / 64

On to step 6:
64 can be fit into 146 2 times, resulting in a remainder of 18.
The next digit of our result is 2. 
Result so far: 4082.0
Subtract 128 from 146 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 7:
180 divided by 64 is 2 with a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 4082.2
Subtract 128 from 180 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 8:
64 can be fit into 520 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 4082.28
Subtract 512 from 520 to 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.

On to step 9:
When dividing 80 by 64, we get 1 with a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 4082.281
Subtract 64 from 80 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 10:
160 divided by 64 is 2 with a remainder of 32.
The next digit of our result is 2. 
Result so far: 4082.2812
Deduct 128 from 160 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 11:
64 goes into 320 5 times with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 4082.28125
The remainder is 0 after subtracting 320 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 12:
0 divided by 64 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4082.28125
If we take 0 away from 0, we end up 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 13:
64 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 4082.28125
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 4082.28125 with a balance of 0.0.