We divide 30437 by 13
We're looking to find how many times 13 goes into 30437.

Let's proceed to 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
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 13

On to step 2:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 26 from 30, we get 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 13

Moving on to step 3:
13 goes into 44 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
Subtract 39 from 44 to get 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 13

Moving on to step 4:
13 goes into 53 4 times with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 234.0
Subtract 52 from 53 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 13

Advancing to step 5:
When dividing 17 by 13, we get 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 2341.0
Subtracting 13 from 17 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.

On to step 6:
If we divide 40 by 13, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 2341.3
If we take 39 away from 40, we end up 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.

On to step 7:
10 divided by 13 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 2341.3
If we take 0 away from 10, we end up with 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 8:
If we divide 100 by 13, we get 7 and a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 2341.307
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
When dividing 90 by 13, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 2341.3076
Subtracting 78 from 90 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.

Moving on to step 10:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 2341.30769
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 11:
If we divide 30 by 13, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 2341.307692
The remainder is 4 after subtracting 26 from 30.
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 12:
40 divided by 13 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 2341.3076923
If we take 39 away from 40, we end up 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.

Advancing to step 13:
When dividing 10 by 13, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 2341.3076923
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 2341.3076923 with a balance of 1e-08.