We're dividing 33577707 by 3 
Our goal is to divide 33577707 by 3.

Step 1:
If we divide 3 by 3, we get 1 and a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 3 away from 3, we end up with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 3

Moving on to step 2:
When dividing 3 by 3, we get 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 3 from 3 to get 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 3

Step 3:
The number 3 fits into 5 1 times, leaving a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 111.0
Subtract 3 from 5 to get 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 3

Advancing to step 4:
When dividing 27 by 3, we get 9 with a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 1119.0
Subtract 27 from 27 to get 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 3

Advancing to step 5:
7 divided by 3 is 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 11192.0
Subtracting 6 from 7 leaves us with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 3

Advancing to step 6:
3 can be fit into 17 5 times, resulting in a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 111925.0
Subtracting 15 from 17 leaves us with 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 3

Moving on to step 7:
3 goes into 20 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 1119256.0
Subtracting 18 from 20 leaves us with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 3

Going ahead to step 8:
3 can be fit into 27 9 times, resulting in a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 11192569.0
If we take 27 away from 27, we end up 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.

Let's proceed to step 9:
The number 3 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 11192569.0
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.

Moving on to step 10:
3 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 11192569.0
Deduct 0 from 0 and we're left 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.

In conclusion, the division gives 11192569.0 with a balance of 0.0.