We divide 261146 by 90
Let's see how many times 90 fits into 261146.

On to step 1:
90 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 90

Advancing to step 2:
The number 90 fits into 26 0 times, leaving a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 90

On to step 3:
261 divided by 90 is 2 with a remainder of 81.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 180 from 261 leaves us with 81.
Bring next digit (1) of the dividend behind the 81 and repeat the process: 811 / 90

Advancing to step 4:
The number 90 fits into 811 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 29.0
The remainder is 1 after subtracting 810 from 811.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 90

Advancing to step 5:
90 goes into 14 0 times with a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 290.0
The remainder is 14 after subtracting 0 from 14.
Bring next digit (6) of the dividend behind the 14 and repeat the process: 146 / 90

Moving on to step 6:
90 can be fit into 146 1 times, resulting in a remainder of 56.
Put 1 as the next digit of the answer. 
Result so far: 2901.0
Subtracting 90 from 146 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 7:
90 goes into 560 6 times with a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 2901.6
If we take 540 away from 560, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
When dividing 200 by 90, we get 2 with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 2901.62
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
90 can be fit into 200 2 times, resulting in a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 2901.622
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 2901.622 with a remaining 0.002.