Let's divide 338577 by 33
We want to figure out the number of times 338577 can be divided by 33.

Going ahead to step 1:
33 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 33

On to step 2:
When dividing 33 by 33, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 33 from 33, we get 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 33

Going ahead to step 3:
33 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 10.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 33

On to step 4:
33 goes into 85 2 times with a remainder of 19.
Put 2 as the next digit of the answer. 
Result so far: 102.0
The remainder is 19 after subtracting 66 from 85.
Bring next digit (7) of the dividend behind the 19 and repeat the process: 197 / 33

Advancing to step 5:
If we divide 197 by 33, we get 5 and a remainder of 32.
Write down 5 as next digit of the result. 
Result so far: 1025.0
Subtract 165 from 197 to get 32.
Fetch the next digit (7) from the dividend, attach it to 32 and continue: 327 / 33

Step 6:
The number 33 fits into 327 9 times, leaving a remainder of 30.
The number 9 becomes the next digit in our result. 
Result so far: 10259.0
If we take 297 away from 327, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
33 goes into 300 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 10259.9
Deduct 297 from 300 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
30 divided by 33 is 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 10259.9
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
If we divide 300 by 33, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 10259.909
The remainder is 3 after subtracting 297 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 10:
When dividing 30 by 33, we get 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 10259.909
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
300 divided by 33 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 10259.90909
Deduct 297 from 300 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 12:
33 goes into 30 0 times with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 10259.90909
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 13:
300 divided by 33 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 10259.9090909
Subtracting 297 from 300 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 14:
33 can be fit into 30 0 times, resulting in a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 10259.9090909
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 10259.9090909 with a remaining 3e-08.