We divide 261581 by 30
Our goal is to divide 261581 by 30.

Let's proceed to step 1:
30 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 30

Step 2:
When dividing 26 by 30, we get 0 with a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 26 to get 26.
Grab the next digit (1) from the dividend, add it to 26, then carry on: 261 / 30

Going ahead to step 3:
If we divide 261 by 30, we get 8 and a remainder of 21.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 240 from 261 leaves us with 21.
Include the next digit (5) from the dividend after 21, then repeat: 215 / 30

Moving on to step 4:
30 can be fit into 215 7 times, resulting in a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 87.0
If we subtract 210 from 215, we get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 30

On to step 5:
The number 30 fits into 58 1 times, leaving a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 871.0
Subtracting 30 from 58 leaves us with 28.
Grab the next digit (1) from the dividend, add it to 28, then carry on: 281 / 30

On to step 6:
281 divided by 30 is 9 with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 8719.0
Subtracting 270 from 281 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
30 goes into 110 3 times with a remainder of 20.
Write down 3 as next digit of the result. 
Result so far: 8719.3
The remainder is 20 after subtracting 90 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
30 goes into 200 6 times with a remainder of 20.
The next digit of our result is 6. 
Result so far: 8719.36
If we subtract 180 from 200, we get 20.
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:
If we divide 200 by 30, we get 6 and a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 8719.366
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.

The quotient of the division is 8719.366, and the remainder is 0.002.