We're dividing 589514 by 13 
Let's see how many times 13 fits into 589514.

Moving on to step 1:
If we divide 5 by 13, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 13

Going ahead to step 2:
When dividing 58 by 13, we get 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 6 after subtracting 52 from 58.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 13

Step 3:
13 goes into 69 5 times with a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 45.0
If we subtract 65 from 69, we get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 13

Going ahead to step 4:
13 can be fit into 45 3 times, resulting in a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 453.0
Subtracting 39 from 45 leaves us with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 13

Moving on to step 5:
When dividing 61 by 13, we get 4 with a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 4534.0
Deduct 52 from 61 and we're left with 9.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 13

Step 6:
If we divide 94 by 13, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 45347.0
Subtracting 91 from 94 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.

Going ahead to step 7:
30 divided by 13 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 45347.2
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.

Step 8:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 45347.23
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.

Step 9:
If we divide 10 by 13, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 45347.23
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.

Advancing to step 10:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 45347.2307
Deduct 91 from 100 and we're left 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.

Moving on to step 11:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 45347.23076
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 12:
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: 45347.230769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 13:
30 divided by 13 is 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 45347.2307692
If we take 26 away from 30, we end up 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.

Let's proceed to step 14:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 45347.23076923
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.

The final result is 45347.23076923 with a remainder of 1e-09.