We're dividing 259567 by 90 
We want to figure out the number of times 259567 can be divided by 90.

Step 1:
90 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 90

Let's proceed to step 2:
The number 90 fits into 25 0 times, leaving a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Fetch the next digit (9) from the dividend, attach it to 25 and continue: 259 / 90

On to step 3:
The number 90 fits into 259 2 times, leaving a remainder of 79.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 180 away from 259, we end up with 79.
Grab the next digit (5) from the dividend, add it to 79, then carry on: 795 / 90

Let's proceed to step 4:
90 can be fit into 795 8 times, resulting in a remainder of 75.
Write down 8 as next digit of the result. 
Result so far: 28.0
Subtracting 720 from 795 leaves us with 75.
Append the next digit (6) from the dividend to 75 and continue with: 756 / 90

Going ahead to step 5:
If we divide 756 by 90, we get 8 and a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 288.0
The remainder is 36 after subtracting 720 from 756.
Take the next digit (7) from the dividend and append it to 36, then repeat: 367 / 90

On to step 6:
367 divided by 90 is 4 with a remainder of 7.
The next digit of our result is 4. 
Result so far: 2884.0
If we subtract 360 from 367, we 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.

Going ahead to step 7:
When dividing 70 by 90, we get 0 with a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 2884.0
If we subtract 0 from 70, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 8:
The number 90 fits into 700 7 times, leaving a remainder of 70.
The next digit of our result is 7. 
Result so far: 2884.07
If we subtract 630 from 700, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 9:
90 can be fit into 700 7 times, resulting in a remainder of 70.
The next digit of our result is 7. 
Result so far: 2884.077
If we take 630 away from 700, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

The final outcome is 2884.077, with a leftover of 0.007.