We're dividing 301261 by 14 
Let's see how many times 14 fits into 301261.

Advancing to step 1:
When dividing 3 by 14, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 14

Let's proceed to step 2:
30 divided by 14 is 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 28 from 30 and we're left with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 14

Going ahead to step 3:
When dividing 21 by 14, we get 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 21.0
Subtracting 14 from 21 leaves us with 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 14

Advancing to step 4:
The number 14 fits into 72 5 times, leaving a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 215.0
Subtract 70 from 72 to get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 14

Let's proceed to step 5:
26 divided by 14 is 1 with a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 2151.0
Subtract 14 from 26 to get 12.
Append the next digit (1) from the dividend to 12 and continue with: 121 / 14

Advancing to step 6:
The number 14 fits into 121 8 times, leaving a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 21518.0
The remainder is 9 after subtracting 112 from 121.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
90 divided by 14 is 6 with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 21518.6
Deduct 84 from 90 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
When dividing 60 by 14, we get 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 21518.64
Subtracting 56 from 60 leaves us 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.

Going ahead to step 9:
The number 14 fits into 40 2 times, leaving a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 21518.642
The remainder is 12 after subtracting 28 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
120 divided by 14 is 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 21518.6428
If we subtract 112 from 120, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
When dividing 80 by 14, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 21518.64285
Subtracting 70 from 80 leaves us 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.

Going ahead to step 12:
When dividing 100 by 14, we get 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 21518.642857
Subtract 98 from 100 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
14 can be fit into 20 1 times, resulting in a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 21518.6428571
Subtracting 14 from 20 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 14:
14 goes into 60 4 times with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 21518.64285714
Subtract 56 from 60 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 21518.64285714 and a remainder of 4e-09.