We're dividing 60261 by 30 
We're looking to find how many times 30 goes into 60261.

Advancing to step 1:
If we divide 6 by 30, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 30

Step 2:
30 goes into 60 2 times with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 60 from 60 to get 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 30

Advancing to step 3:
30 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 20.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 30

Moving on to step 4:
26 divided by 30 is 0 with a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 200.0
Subtract 0 from 26 to get 26.
Include the next digit (1) from the dividend after 26, then repeat: 261 / 30

Let's proceed to step 5:
When dividing 261 by 30, we get 8 with a remainder of 21.
The next digit of our result is 8. 
Result so far: 2008.0
Subtract 240 from 261 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 6:
30 goes into 210 7 times with a remainder of 0.
The next digit of our result is 7. 
Result so far: 2008.7
Subtracting 210 from 210 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
If we divide 0 by 30, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 2008.7
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
If we divide 0 by 30, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 2008.7
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 2008.7, and the remainder is 0.0.