We look at the division of 343889 by 33 
We're looking to find how many times 33 goes into 343889.

Going ahead to step 1:
33 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 33

On to step 2:
33 can be fit into 34 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 1 after subtracting 33 from 34.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 33

Let's proceed to step 3:
33 goes into 13 0 times with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 13 and we're left with 13.
Grab the next digit (8) from the dividend, add it to 13, then carry on: 138 / 33

Step 4:
If we divide 138 by 33, we get 4 and a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 104.0
Subtracting 132 from 138 leaves us with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 33

Advancing to step 5:
The number 33 fits into 68 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 1042.0
If we take 66 away from 68, we end up with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 33

Step 6:
If we divide 29 by 33, we get 0 and a remainder of 29.
Use 0 as the next digit of our solution. 
Result so far: 10420.0
If we subtract 0 from 29, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 7:
The number 33 fits into 290 8 times, leaving a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 10420.8
Deduct 264 from 290 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
When dividing 260 by 33, we get 7 with a remainder of 29.
Put 7 as the next digit of the answer. 
Result so far: 10420.87
If we subtract 231 from 260, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 9:
33 goes into 290 8 times with a remainder of 26.
Record the quotient 8 as the next digit in the result. 
Result so far: 10420.878
Subtract 264 from 290 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 10:
33 can be fit into 260 7 times, resulting in a remainder of 29.
The next digit of our result is 7. 
Result so far: 10420.8787
The remainder is 29 after subtracting 231 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 11:
The number 33 fits into 290 8 times, leaving a remainder of 26.
Use 8 as the next digit of our solution. 
Result so far: 10420.87878
The remainder is 26 after subtracting 264 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 12:
When dividing 260 by 33, we get 7 with a remainder of 29.
Record the quotient 7 as the next digit in the result. 
Result so far: 10420.878787
Deduct 231 from 260 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 13:
If we divide 290 by 33, we get 8 and a remainder of 26.
The next digit of our result is 8. 
Result so far: 10420.8787878
Subtract 264 from 290 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 14:
33 goes into 260 7 times with a remainder of 29.
Record the quotient 7 as the next digit in the result. 
Result so far: 10420.87878787
Deduct 231 from 260 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final outcome is 10420.87878787, with a leftover of 2.9e-08.