We divide 354943 by 51
We want to divide 354943 by 51.

Advancing to step 1:
When dividing 3 by 51, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 51

On to step 2:
51 can be fit into 35 0 times, resulting in a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Fetch the next digit (4) from the dividend, attach it to 35 and continue: 354 / 51

Let's proceed to step 3:
The number 51 fits into 354 6 times, leaving a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 306 from 354 to get 48.
Grab the next digit (9) from the dividend, add it to 48, then carry on: 489 / 51

Advancing to step 4:
The number 51 fits into 489 9 times, leaving a remainder of 30.
Put 9 as the next digit of the answer. 
Result so far: 69.0
The remainder is 30 after subtracting 459 from 489.
Take the next digit (4) from the dividend and append it to 30, then repeat: 304 / 51

Moving on to step 5:
When dividing 304 by 51, we get 5 with a remainder of 49.
Use 5 as the next digit of our solution. 
Result so far: 695.0
Deduct 255 from 304 and we're left with 49.
Take the next digit (3) from the dividend and append it to 49, then repeat: 493 / 51

Moving on to step 6:
51 can be fit into 493 9 times, resulting in a remainder of 34.
Write down 9 as next digit of the result. 
Result so far: 6959.0
Subtracting 459 from 493 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 7:
When dividing 340 by 51, we get 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 6959.6
If we take 306 away from 340, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 8:
When dividing 340 by 51, we get 6 with a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 6959.66
Subtract 306 from 340 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The quotient of the division is 6959.66, and the remainder is 0.034.