We're dividing 321238 by 51 
We're looking to find how many times 51 goes into 321238.

Moving on to step 1:
If we divide 3 by 51, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 51

Advancing to step 2:
51 goes into 32 0 times with a remainder of 32.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 32, we get 32.
Append the next digit (1) from the dividend to 32 and continue with: 321 / 51

Step 3:
321 divided by 51 is 6 with a remainder of 15.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 306 from 321 to get 15.
Include the next digit (2) from the dividend after 15, then repeat: 152 / 51

Advancing to step 4:
The number 51 fits into 152 2 times, leaving a remainder of 50.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
Subtract 102 from 152 to get 50.
Grab the next digit (3) from the dividend, add it to 50, then carry on: 503 / 51

On to step 5:
If we divide 503 by 51, we get 9 and a remainder of 44.
The next digit of our result is 9. 
Result so far: 629.0
Subtracting 459 from 503 leaves us with 44.
Take the next digit (8) from the dividend and append it to 44, then repeat: 448 / 51

Moving on to step 6:
51 can be fit into 448 8 times, resulting in a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 6298.0
The remainder is 40 after subtracting 408 from 448.
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 7:
When dividing 400 by 51, we get 7 with a remainder of 43.
Use 7 as the next digit of our solution. 
Result so far: 6298.7
Deduct 357 from 400 and we're left 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.

Going ahead to step 8:
51 goes into 430 8 times with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 6298.78
The remainder is 22 after subtracting 408 from 430.
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 9:
If we divide 220 by 51, we get 4 and a remainder of 16.
The next digit of our result is 4. 
Result so far: 6298.784
Subtract 204 from 220 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 10:
When dividing 160 by 51, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 6298.7843
If we take 153 away from 160, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 11:
When dividing 70 by 51, we get 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 6298.78431
If we subtract 51 from 70, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 12:
If we divide 190 by 51, we get 3 and a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 6298.784313
Subtract 153 from 190 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 13:
If we divide 370 by 51, we get 7 and a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 6298.7843137
Deduct 357 from 370 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 14:
130 divided by 51 is 2 with a remainder of 28.
The next digit of our result is 2. 
Result so far: 6298.78431372
The remainder is 28 after subtracting 102 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final result is 6298.78431372 with a remainder of 2.8e-08.