We're dividing 301257 by 13 
Let's see how many times 13 fits into 301257.

Moving on to step 1:
When dividing 3 by 13, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 13

Advancing to step 2:
13 goes into 30 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 4 after subtracting 26 from 30.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 13

Moving on to step 3:
The number 13 fits into 41 3 times, leaving a remainder of 2.
The next digit of our result is 3. 
Result so far: 23.0
Subtract 39 from 41 to get 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 13

Going ahead to step 4:
22 divided by 13 is 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 231.0
Subtract 13 from 22 to get 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 13

Let's proceed to step 5:
When dividing 95 by 13, we get 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 2317.0
If we subtract 91 from 95, we get 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 13

Going ahead to step 6:
If we divide 47 by 13, we get 3 and a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 23173.0
If we subtract 39 from 47, 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.

Let's proceed to step 7:
80 divided by 13 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 23173.6
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 23173.61
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 23173.615
If we take 65 away from 70, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
When dividing 50 by 13, we get 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 23173.6153
Deduct 39 from 50 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 11:
13 goes into 110 8 times with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 23173.61538
Deduct 104 from 110 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.

Moving on to step 12:
If we divide 60 by 13, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 23173.615384
If we take 52 away from 60, we end up with 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 13:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 23173.6153846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 14:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 23173.61538461
The remainder is 7 after subtracting 13 from 20.
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 23173.61538461 and a remainder of 7e-09.