We're dividing 262506 by 90 
Let's see how many times 90 fits into 262506.

Moving on to step 1:
When dividing 2 by 90, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 90

On to step 2:
If we divide 26 by 90, we get 0 and a remainder of 26.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Take the next digit (2) from the dividend and append it to 26, then repeat: 262 / 90

Let's proceed to step 3:
90 can be fit into 262 2 times, resulting in a remainder of 82.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 180 from 262, we get 82.
Grab the next digit (5) from the dividend, add it to 82, then carry on: 825 / 90

Advancing to step 4:
The number 90 fits into 825 9 times, leaving a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 29.0
If we subtract 810 from 825, we get 15.
Include the next digit (0) from the dividend after 15, then repeat: 150 / 90

Let's proceed to step 5:
90 goes into 150 1 times with a remainder of 60.
The number 1 becomes the next digit in our result. 
Result so far: 291.0
If we subtract 90 from 150, we get 60.
Fetch the next digit (6) from the dividend, attach it to 60 and continue: 606 / 90

Advancing to step 6:
90 can be fit into 606 6 times, resulting in a remainder of 66.
The number 6 becomes the next digit in our result. 
Result so far: 2916.0
Subtracting 540 from 606 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 7:
90 goes into 660 7 times with a remainder of 30.
The next digit of our result is 7. 
Result so far: 2916.7
If we take 630 away from 660, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
When dividing 300 by 90, we get 3 with a remainder of 30.
The number 3 becomes the next digit in our result. 
Result so far: 2916.73
The remainder is 30 after subtracting 270 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 9:
If we divide 300 by 90, we get 3 and a remainder of 30.
The number 3 becomes the next digit in our result. 
Result so far: 2916.733
Subtract 270 from 300 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 2916.733 and a remainder of 0.003.