We're dividing 309869 by 51 
Let's see how many times 51 fits into 309869.

On to step 1:
If we divide 3 by 51, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 51

On to step 2:
The number 51 fits into 30 0 times, leaving a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 30 and we're left with 30.
Grab the next digit (9) from the dividend, add it to 30, then carry on: 309 / 51

Let's proceed to step 3:
51 goes into 309 6 times with a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 306 from 309 and we're left with 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 51

Advancing to step 4:
If we divide 38 by 51, we get 0 and a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
Deduct 0 from 38 and we're left with 38.
Bring next digit (6) of the dividend behind the 38 and repeat the process: 386 / 51

Going ahead to step 5:
The number 51 fits into 386 7 times, leaving a remainder of 29.
Use 7 as the next digit of our solution. 
Result so far: 607.0
Subtracting 357 from 386 leaves us with 29.
Bring next digit (9) of the dividend behind the 29 and repeat the process: 299 / 51

Going ahead to step 6:
51 goes into 299 5 times with a remainder of 44.
Write down 5 as next digit of the result. 
Result so far: 6075.0
Subtract 255 from 299 to get 44.
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 7:
51 can be fit into 440 8 times, resulting in a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 6075.8
The remainder is 32 after subtracting 408 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
If we divide 320 by 51, we get 6 and a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 6075.86
The remainder is 14 after subtracting 306 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 9:
When dividing 140 by 51, we get 2 with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 6075.862
If we take 102 away from 140, we end up 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.

Step 10:
51 can be fit into 380 7 times, resulting in a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 6075.8627
If we subtract 357 from 380, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 11:
230 divided by 51 is 4 with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 6075.86274
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.

Step 12:
51 can be fit into 260 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 6075.862745
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.

Moving on to step 13:
50 divided by 51 is 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 6075.862745
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 14:
500 divided by 51 is 9 with a remainder of 41.
The next digit of our result is 9. 
Result so far: 6075.86274509
Subtract 459 from 500 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Our division results in 6075.86274509 with a remaining 4.1e-08.