We're dividing 334955 by 51 
Our goal is to divide 334955 by 51.

Going ahead to step 1:
When dividing 3 by 51, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 51

Advancing to step 2:
33 divided by 51 is 0 with a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 33 and we're left with 33.
Bring next digit (4) of the dividend behind the 33 and repeat the process: 334 / 51

On to step 3:
When dividing 334 by 51, we get 6 with a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 306 away from 334, we end up with 28.
Grab the next digit (9) from the dividend, add it to 28, then carry on: 289 / 51

Step 4:
289 divided by 51 is 5 with a remainder of 34.
Write down 5 as next digit of the result. 
Result so far: 65.0
If we subtract 255 from 289, we get 34.
Bring next digit (5) of the dividend behind the 34 and repeat the process: 345 / 51

Moving on to step 5:
345 divided by 51 is 6 with a remainder of 39.
Record the quotient 6 as the next digit in the result. 
Result so far: 656.0
If we take 306 away from 345, we end up with 39.
Take the next digit (5) from the dividend and append it to 39, then repeat: 395 / 51

Moving on to step 6:
51 can be fit into 395 7 times, resulting in a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 6567.0
Subtracting 357 from 395 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 7:
When dividing 380 by 51, we get 7 with a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 6567.7
If we subtract 357 from 380, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 8:
51 goes into 230 4 times with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 6567.74
If we subtract 204 from 230, we 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.

On to step 9:
51 can be fit into 260 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 6567.745
The remainder is 5 after subtracting 255 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
51 goes into 50 0 times with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 6567.745
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 11:
51 can be fit into 500 9 times, resulting in a remainder of 41.
The next digit of our result is 9. 
Result so far: 6567.74509
Subtract 459 from 500 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 12:
410 divided by 51 is 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 6567.745098
If we subtract 408 from 410, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 13:
51 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 6567.745098
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 14:
If we divide 200 by 51, we get 3 and a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 6567.74509803
Subtract 153 from 200 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

The final result is 6567.74509803 with a remainder of 4.7e-08.