Let's divide 307371 by 13
We're looking to find how many times 13 goes into 307371.

Step 1:
3 divided by 13 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 13

Step 2:
13 can be fit into 30 2 times, resulting in 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.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 13

Going ahead to step 3:
When dividing 47 by 13, we get 3 with a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 23.0
If we take 39 away from 47, we end up with 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 13

Step 4:
If we divide 83 by 13, we get 6 and a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 236.0
Subtract 78 from 83 to get 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 13

Step 5:
57 divided by 13 is 4 with a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 2364.0
If we take 52 away from 57, we end up with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 13

Let's proceed to step 6:
13 goes into 51 3 times with a remainder of 12.
The next digit of our result is 3. 
Result so far: 23643.0
Subtracting 39 from 51 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
120 divided by 13 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 23643.9
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
If we divide 30 by 13, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 23643.92
Subtract 26 from 30 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.

Going ahead to step 9:
If we divide 40 by 13, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 23643.923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 10:
If we divide 10 by 13, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 23643.923
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
When dividing 100 by 13, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 23643.92307
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 12:
13 goes into 90 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 23643.923076
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 13:
If we divide 120 by 13, we get 9 and a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 23643.9230769
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 14:
If we divide 30 by 13, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 23643.92307692
If we subtract 26 from 30, we 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.

The quotient of the division is 23643.92307692, and the remainder is 4e-09.