We're dividing 354276 by 51 
Our goal is to divide 354276 by 51.

On to step 1:
3 divided by 51 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 51

Moving on to step 2:
35 divided by 51 is 0 with a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Take the next digit (4) from the dividend and append it to 35, then repeat: 354 / 51

Advancing to step 3:
When dividing 354 by 51, we get 6 with a remainder of 48.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 306 from 354 leaves us with 48.
Take the next digit (2) from the dividend and append it to 48, then repeat: 482 / 51

On to step 4:
482 divided by 51 is 9 with a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
Deduct 459 from 482 and we're left with 23.
Bring next digit (7) of the dividend behind the 23 and repeat the process: 237 / 51

Let's proceed to step 5:
51 can be fit into 237 4 times, resulting in a remainder of 33.
Record the quotient 4 as the next digit in the result. 
Result so far: 694.0
Subtract 204 from 237 to get 33.
Include the next digit (6) from the dividend after 33, then repeat: 336 / 51

Going ahead to step 6:
51 can be fit into 336 6 times, resulting in a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 6946.0
If we take 306 away from 336, 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.

Let's proceed to step 7:
When dividing 300 by 51, we get 5 with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 6946.5
Subtract 255 from 300 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 8:
If we divide 450 by 51, we get 8 and a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 6946.58
If we take 408 away from 450, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 9:
420 divided by 51 is 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 6946.588
Subtracting 408 from 420 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 6946.588 and a remainder of 0.0012.