We look at the division of 349921 by 51 
Our goal is to divide 349921 by 51.

Step 1:
51 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 51

Moving on to step 2:
51 can be fit into 34 0 times, resulting in a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Grab the next digit (9) from the dividend, add it to 34, then carry on: 349 / 51

Let's proceed to step 3:
51 goes into 349 6 times with a remainder of 43.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 43 after subtracting 306 from 349.
Take the next digit (9) from the dividend and append it to 43, then repeat: 439 / 51

Moving on to step 4:
51 can be fit into 439 8 times, resulting in a remainder of 31.
Put 8 as the next digit of the answer. 
Result so far: 68.0
If we subtract 408 from 439, we get 31.
Fetch the next digit (2) from the dividend, attach it to 31 and continue: 312 / 51

Step 5:
The number 51 fits into 312 6 times, leaving a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 686.0
If we subtract 306 from 312, we get 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 51

Advancing to step 6:
If we divide 61 by 51, we get 1 and a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 6861.0
If we take 51 away from 61, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
51 goes into 100 1 times with a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 6861.1
The remainder is 49 after subtracting 51 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 8:
When dividing 490 by 51, we get 9 with a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 6861.19
If we take 459 away from 490, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 9:
If we divide 310 by 51, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 6861.196
If we take 306 away from 310, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
If we divide 40 by 51, we get 0 and a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 6861.196
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 11:
The number 51 fits into 400 7 times, leaving a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 6861.19607
Subtracting 357 from 400 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 12:
51 goes into 430 8 times with a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 6861.196078
If we take 408 away from 430, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 13:
If we divide 220 by 51, we get 4 and a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 6861.1960784
Deduct 204 from 220 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 14:
51 can be fit into 160 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 6861.19607843
Subtract 153 from 160 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

After the division, we end up with 6861.19607843 and a remainder of 7e-09.