343765 ÷ 33 
We want to divide 343765 by 33.

Advancing to step 1:
If we divide 3 by 33, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 33

Let's proceed to step 2:
When dividing 34 by 33, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 33 from 34 leaves us with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 33

Let's proceed to step 3:
When dividing 13 by 33, we get 0 with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 13 leaves us with 13.
Bring next digit (7) of the dividend behind the 13 and repeat the process: 137 / 33

Step 4:
137 divided by 33 is 4 with a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 104.0
Subtract 132 from 137 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 33

Step 5:
33 can be fit into 56 1 times, resulting in a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 1041.0
The remainder is 23 after subtracting 33 from 56.
Take the next digit (5) from the dividend and append it to 23, then repeat: 235 / 33

On to step 6:
The number 33 fits into 235 7 times, leaving a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 10417.0
Subtracting 231 from 235 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
40 divided by 33 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 10417.1
Subtracting 33 from 40 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 8:
If we divide 70 by 33, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 10417.12
Subtracting 66 from 70 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
33 goes into 40 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 10417.121
Subtract 33 from 40 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 10:
The number 33 fits into 70 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 10417.1212
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
33 can be fit into 40 1 times, resulting in a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 10417.12121
Deduct 33 from 40 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
If we divide 70 by 33, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 10417.121212
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 13:
If we divide 40 by 33, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 10417.1212121
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 14:
33 can be fit into 70 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 10417.12121212
Subtract 66 from 70 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 10417.12121212 and a remainder of 4e-09.