Let's divide 430589 by 13
We're looking to find how many times 13 goes into 430589.

Going ahead to step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 13

Moving on to step 2:
The number 13 fits into 43 3 times, leaving a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 39 away from 43, we end up with 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 13

Let's proceed to step 3:
If we divide 40 by 13, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 33.0
Subtracting 39 from 40 leaves us with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 13

Let's proceed to step 4:
When dividing 15 by 13, we get 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 331.0
If we subtract 13 from 15, we get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 13

Moving on to step 5:
If we divide 28 by 13, we get 2 and a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 3312.0
Subtracting 26 from 28 leaves us with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 13

Let's proceed to step 6:
13 can be fit into 29 2 times, resulting in a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 33122.0
Subtracting 26 from 29 leaves us 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 7:
When dividing 30 by 13, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 33122.2
Subtracting 26 from 30 leaves us 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 8:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 33122.23
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 9:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 33122.23
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.

Step 10:
When dividing 100 by 13, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 33122.2307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 11:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 33122.23076
If we subtract 78 from 90, we 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 12:
If we divide 120 by 13, we get 9 and a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 33122.230769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 13:
When dividing 30 by 13, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 33122.2307692
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.

Moving on to step 14:
40 divided by 13 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 33122.23076923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 33122.23076923 with a remaining 1e-09.