389591 divided by 13 
Our goal is to divide 389591 by 13.

Moving on to step 1:
If we divide 3 by 13, we get 0 and 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 (8) of the dividend behind the 3 and repeat the process: 38 / 13

Step 2:
38 divided by 13 is 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 26 from 38 to get 12.
Grab the next digit (9) from the dividend, add it to 12, then carry on: 129 / 13

Let's proceed to step 3:
13 goes into 129 9 times with a remainder of 12.
Use 9 as the next digit of our solution. 
Result so far: 29.0
If we subtract 117 from 129, we get 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 13

Advancing to step 4:
If we divide 125 by 13, we get 9 and a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 299.0
The remainder is 8 after subtracting 117 from 125.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 13

On to step 5:
13 can be fit into 89 6 times, resulting in a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 2996.0
Subtract 78 from 89 to get 11.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 13

On to step 6:
13 can be fit into 111 8 times, resulting in a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 29968.0
Subtract 104 from 111 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
70 divided by 13 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 29968.5
Deduct 65 from 70 and we're left 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.

Let's proceed to step 8:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The next digit of our result is 3. 
Result so far: 29968.53
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 29968.538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 10:
13 goes into 60 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 29968.5384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 11:
If we divide 80 by 13, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 29968.53846
Deduct 78 from 80 and we're left with 2.
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 12:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 29968.538461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 13:
When dividing 70 by 13, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 29968.5384615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 14:
When dividing 50 by 13, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 29968.53846153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final outcome is 29968.53846153, with a leftover of 1.1e-08.