29590 ÷ 13 
We want to figure out the number of times 29590 can be divided by 13.

Let's proceed to step 1:
When dividing 2 by 13, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 13

Advancing to step 2:
The number 13 fits into 29 2 times, leaving a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 26 from 29, we get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 13

Let's proceed to step 3:
35 divided by 13 is 2 with a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
If we take 26 away from 35, we end up with 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 13

On to step 4:
The number 13 fits into 99 7 times, leaving a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 227.0
Subtract 91 from 99 to get 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 13

Going ahead to step 5:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 2276.0
If we subtract 78 from 80, we 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.

Let's proceed to step 6:
13 goes into 20 1 times with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 2276.1
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.

Going ahead to step 7:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 2276.15
Subtracting 65 from 70 leaves us 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.

Advancing to step 8:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 2276.153
If we take 39 away from 50, we end up 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.

On to step 9:
When dividing 110 by 13, we get 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 2276.1538
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.

Advancing 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: 2276.15384
If we subtract 52 from 60, 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.

Step 11:
80 divided by 13 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 2276.153846
If we take 78 away from 80, we end up 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:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 2276.1538461
Subtract 13 from 20 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.

Let's proceed to step 13:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 2276.15384615
Subtract 65 from 70 to 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.

After the division, we end up with 2276.15384615 and a remainder of 5e-09.