307519 ÷ 13 
We want to figure out the number of times 307519 can be divided by 13.

Step 1:
The number 13 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 13

Advancing to step 2:
13 goes into 30 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 26 from 30 and we're left with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 13

On to step 3:
47 divided by 13 is 3 with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 23.0
If we subtract 39 from 47, we get 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 13

Advancing to step 4:
13 can be fit into 85 6 times, resulting in a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 236.0
The remainder is 7 after subtracting 78 from 85.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 13

Step 5:
When dividing 71 by 13, we get 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 2365.0
If we take 65 away from 71, we end up with 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 13

Step 6:
69 divided by 13 is 5 with a remainder of 4.
The next digit of our result is 5. 
Result so far: 23655.0
Deduct 65 from 69 and we're left 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.

Step 7:
13 goes into 40 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 23655.3
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.

Going ahead to step 8:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 23655.3
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.

Going ahead to step 9:
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: 23655.307
Subtracting 91 from 100 leaves us 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.

Going ahead to step 10:
When dividing 90 by 13, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 23655.3076
If we take 78 away from 90, we end up 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 11:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 23655.30769
If we take 117 away from 120, we end up 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.

Going ahead to step 12:
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: 23655.307692
Deduct 26 from 30 and we're left 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.

On to step 13:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 23655.3076923
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.

Moving on to step 14:
10 divided by 13 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 23655.3076923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 23655.3076923, and the remainder is 1e-08.