Let's divide 266527 by 3
We're looking to find how many times 3 goes into 266527.

Moving on to step 1:
When dividing 2 by 3, we get 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.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 3

Step 2:
When dividing 26 by 3, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 24 from 26 to get 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 3

Moving on to step 3:
If we divide 26 by 3, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 88.0
The remainder is 2 after subtracting 24 from 26.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 3

On to step 4:
If we divide 25 by 3, we get 8 and a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 888.0
The remainder is 1 after subtracting 24 from 25.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 3

On to step 5:
The number 3 fits into 12 4 times, leaving a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 8884.0
If we take 12 away from 12, we end up with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 3

Advancing to step 6:
If we divide 7 by 3, we get 2 and a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 88842.0
Deduct 6 from 7 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
When dividing 10 by 3, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 88842.3
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 88842.33
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final result is 88842.33 with a remainder of 0.001.