We look at the division of 33844019 by 334 
Our goal is to divide 33844019 by 334.

On to step 1:
If we divide 3 by 334, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 334

On to step 2:
334 goes into 33 0 times with a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 33 after subtracting 0 from 33.
Include the next digit (8) from the dividend after 33, then repeat: 338 / 334

Advancing to step 3:
When dividing 338 by 334, we get 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 334 from 338 and we're left with 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 334

Moving on to step 4:
If we divide 44 by 334, we get 0 and a remainder of 44.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 44 after subtracting 0 from 44.
Take the next digit (4) from the dividend and append it to 44, then repeat: 444 / 334

Let's proceed to step 5:
The number 334 fits into 444 1 times, leaving a remainder of 110.
Record the quotient 1 as the next digit in the result. 
Result so far: 101.0
Subtract 334 from 444 to get 110.
Take the next digit (0) from the dividend and append it to 110, then repeat: 1100 / 334

Advancing to step 6:
334 can be fit into 1100 3 times, resulting in a remainder of 98.
The number 3 becomes the next digit in our result. 
Result so far: 1013.0
Subtracting 1002 from 1100 leaves us with 98.
Include the next digit (1) from the dividend after 98, then repeat: 981 / 334

Step 7:
334 goes into 981 2 times with a remainder of 313.
Use 2 as the next digit of our solution. 
Result so far: 10132.0
Subtracting 668 from 981 leaves us with 313.
Fetch the next digit (9) from the dividend, attach it to 313 and continue: 3139 / 334

Advancing to step 8:
When dividing 3139 by 334, we get 9 with a remainder of 133.
The number 9 becomes the next digit in our result. 
Result so far: 101329.0
Subtracting 3006 from 3139 leaves us with 133.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1330, and continue the process.

Step 9:
If we divide 1330 by 334, we get 3 and a remainder of 328.
The number 3 becomes the next digit in our result. 
Result so far: 101329.3
The remainder is 328 after subtracting 1002 from 1330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3280, and continue the process.

Step 10:
334 can be fit into 3280 9 times, resulting in a remainder of 274.
The number 9 becomes the next digit in our result. 
Result so far: 101329.39
Subtracting 3006 from 3280 leaves us with 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

On to step 11:
334 can be fit into 2740 8 times, resulting in a remainder of 68.
The next digit of our result is 8. 
Result so far: 101329.398
Deduct 2672 from 2740 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 12:
334 goes into 680 2 times with a remainder of 12.
The next digit of our result is 2. 
Result so far: 101329.3982
The remainder is 12 after subtracting 668 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 13:
334 goes into 120 0 times with a remainder of 120.
Record the quotient 0 as the next digit in the result. 
Result so far: 101329.3982
Deduct 0 from 120 and we're left with 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Let's proceed to step 14:
The number 334 fits into 1200 3 times, leaving a remainder of 198.
The next digit of our result is 3. 
Result so far: 101329.398203
Subtracting 1002 from 1200 leaves us with 198.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1980, and continue the process.

On to step 15:
If we divide 1980 by 334, we get 5 and a remainder of 310.
Record the quotient 5 as the next digit in the result. 
Result so far: 101329.3982035
Deduct 1670 from 1980 and we're left with 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

On to step 16:
The number 334 fits into 3100 9 times, leaving a remainder of 94.
Put 9 as the next digit of the answer. 
Result so far: 101329.39820359
If we subtract 3006 from 3100, we get 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

The final result is 101329.39820359 with a remainder of 9.4e-08.