Let's divide 343029 by 51
Our goal is to divide 343029 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.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 51

Step 2:
51 goes into 34 0 times with a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Bring next digit (3) of the dividend behind the 34 and repeat the process: 343 / 51

Let's proceed to step 3:
51 can be fit into 343 6 times, resulting in a remainder of 37.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 306 from 343 and we're left with 37.
Append the next digit (0) from the dividend to 37 and continue with: 370 / 51

Advancing to step 4:
51 can be fit into 370 7 times, resulting in a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 67.0
If we take 357 away from 370, we end up with 13.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 51

Step 5:
If we divide 132 by 51, we get 2 and a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 672.0
If we subtract 102 from 132, we get 30.
Fetch the next digit (9) from the dividend, attach it to 30 and continue: 309 / 51

Step 6:
The number 51 fits into 309 6 times, leaving a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 6726.0
Subtract 306 from 309 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
If we divide 30 by 51, we get 0 and a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 6726.0
If we take 0 away from 30, 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.

Going ahead to step 8:
The number 51 fits into 300 5 times, leaving a remainder of 45.
The next digit of our result is 5. 
Result so far: 6726.05
Subtracting 255 from 300 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 9:
The number 51 fits into 450 8 times, leaving a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 6726.058
Deduct 408 from 450 and we're left 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.

Advancing to step 10:
51 goes into 420 8 times with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 6726.0588
Deduct 408 from 420 and we're left 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.

The quotient of the division is 6726.0588, and the remainder is 0.00012.