We divide 301909 by 71
We're looking to find how many times 71 goes into 301909.

Step 1:
When dividing 3 by 71, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 71

On to step 2:
71 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 30, we get 30.
Grab the next digit (1) from the dividend, add it to 30, then carry on: 301 / 71

Step 3:
When dividing 301 by 71, we get 4 with a remainder of 17.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 284 from 301, we get 17.
Take the next digit (9) from the dividend and append it to 17, then repeat: 179 / 71

Moving on to step 4:
179 divided by 71 is 2 with a remainder of 37.
Write down 2 as next digit of the result. 
Result so far: 42.0
Subtracting 142 from 179 leaves us with 37.
Include the next digit (0) from the dividend after 37, then repeat: 370 / 71

Step 5:
71 goes into 370 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 425.0
The remainder is 15 after subtracting 355 from 370.
Include the next digit (9) from the dividend after 15, then repeat: 159 / 71

Moving on to step 6:
159 divided by 71 is 2 with a remainder of 17.
The next digit of our result is 2. 
Result so far: 4252.0
If we take 142 away from 159, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
The number 71 fits into 170 2 times, leaving a remainder of 28.
The next digit of our result is 2. 
Result so far: 4252.2
Deduct 142 from 170 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 8:
280 divided by 71 is 3 with a remainder of 67.
Use 3 as the next digit of our solution. 
Result so far: 4252.23
Deduct 213 from 280 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 9:
When dividing 670 by 71, we get 9 with a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 4252.239
Subtracting 639 from 670 leaves us 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.

On to step 10:
If we divide 310 by 71, we get 4 and a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 4252.2394
The remainder is 26 after subtracting 284 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 11:
The number 71 fits into 260 3 times, leaving a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 4252.23943
If we take 213 away from 260, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 12:
470 divided by 71 is 6 with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 4252.239436
The remainder is 44 after subtracting 426 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 13:
440 divided by 71 is 6 with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 4252.2394366
Subtract 426 from 440 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 4252.2394366 and a remainder of 1.4e-07.