343922 ÷ 51 
Our goal is to divide 343922 by 51.

Step 1:
51 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 51

Let's proceed to step 2:
If we divide 34 by 51, we get 0 and a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Bring next digit (3) of the dividend behind the 34 and repeat the process: 343 / 51

Going ahead to step 3:
343 divided by 51 is 6 with a remainder of 37.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 306 away from 343, we end up with 37.
Take the next digit (9) from the dividend and append it to 37, then repeat: 379 / 51

Moving on to step 4:
If we divide 379 by 51, we get 7 and a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 67.0
If we subtract 357 from 379, we get 22.
Bring next digit (2) of the dividend behind the 22 and repeat the process: 222 / 51

Moving on to step 5:
The number 51 fits into 222 4 times, leaving a remainder of 18.
The next digit of our result is 4. 
Result so far: 674.0
Subtract 204 from 222 to get 18.
Grab the next digit (2) from the dividend, add it to 18, then carry on: 182 / 51

Going ahead to step 6:
When dividing 182 by 51, we get 3 with a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 6743.0
Deduct 153 from 182 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 7:
When dividing 290 by 51, we get 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 6743.5
Deduct 255 from 290 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
The number 51 fits into 350 6 times, leaving a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 6743.56
The remainder is 44 after subtracting 306 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 9:
51 can be fit into 440 8 times, resulting in a remainder of 32.
The next digit of our result is 8. 
Result so far: 6743.568
Subtracting 408 from 440 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 10:
The number 51 fits into 320 6 times, leaving a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 6743.5686
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 11:
If we divide 140 by 51, we get 2 and a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 6743.56862
Subtracting 102 from 140 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.

On to step 12:
380 divided by 51 is 7 with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 6743.568627
The remainder is 23 after subtracting 357 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 13:
230 divided by 51 is 4 with a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 6743.5686274
Deduct 204 from 230 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 14:
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: 6743.56862745
Subtract 255 from 260 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 6743.56862745, with a leftover of 5e-09.