We're dividing 261577 by 33 
We want to figure out the number of times 261577 can be divided by 33.

Step 1:
33 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 33

Advancing to step 2:
When dividing 26 by 33, we get 0 with a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Include the next digit (1) from the dividend after 26, then repeat: 261 / 33

Moving on to step 3:
The number 33 fits into 261 7 times, leaving a remainder of 30.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 30 after subtracting 231 from 261.
Bring next digit (5) of the dividend behind the 30 and repeat the process: 305 / 33

Advancing to step 4:
If we divide 305 by 33, we get 9 and a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 79.0
Deduct 297 from 305 and we're left with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 33

On to step 5:
If we divide 87 by 33, we get 2 and a remainder of 21.
Record the quotient 2 as the next digit in the result. 
Result so far: 792.0
Subtracting 66 from 87 leaves us with 21.
Append the next digit (7) from the dividend to 21 and continue with: 217 / 33

Let's proceed to step 6:
If we divide 217 by 33, we get 6 and a remainder of 19.
Write down 6 as next digit of the result. 
Result so far: 7926.0
If we subtract 198 from 217, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
The number 33 fits into 190 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 7926.5
Subtracting 165 from 190 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 8:
If we divide 250 by 33, we get 7 and a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 7926.57
If we subtract 231 from 250, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 9:
When dividing 190 by 33, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 7926.575
Subtract 165 from 190 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 10:
If we divide 250 by 33, we get 7 and a remainder of 19.
The next digit of our result is 7. 
Result so far: 7926.5757
If we subtract 231 from 250, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 11:
The number 33 fits into 190 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 7926.57575
If we take 165 away from 190, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 12:
The number 33 fits into 250 7 times, leaving a remainder of 19.
The next digit of our result is 7. 
Result so far: 7926.575757
Deduct 231 from 250 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 13:
When dividing 190 by 33, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 7926.5757575
Subtracting 165 from 190 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 14:
33 goes into 250 7 times with a remainder of 19.
The next digit of our result is 7. 
Result so far: 7926.57575757
Deduct 231 from 250 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The quotient of the division is 7926.57575757, and the remainder is 1.9e-08.