We look at the division of 599257 by 13 
We want to figure out the number of times 599257 can be divided by 13.

Moving on to step 1:
13 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 13

Let's proceed to step 2:
The number 13 fits into 59 4 times, leaving a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 52 from 59 to get 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 13

Moving on to step 3:
The number 13 fits into 79 6 times, leaving a remainder of 1.
The next digit of our result is 6. 
Result so far: 46.0
If we take 78 away from 79, we end up with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 13

Let's proceed to step 4:
13 can be fit into 12 0 times, resulting in a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 460.0
If we take 0 away from 12, we end up with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 13

On to step 5:
If we divide 125 by 13, we get 9 and a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 4609.0
The remainder is 8 after subtracting 117 from 125.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 13

Advancing to step 6:
13 can be fit into 87 6 times, resulting in a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 46096.0
The remainder is 9 after subtracting 78 from 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 46096.6
Deduct 78 from 90 and we're left 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.

Let's proceed to step 8:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 46096.69
Subtracting 117 from 120 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.

Advancing to step 9:
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: 46096.692
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.

Let's proceed to step 10:
When dividing 40 by 13, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 46096.6923
Subtracting 39 from 40 leaves us 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.

Going ahead to step 11:
When dividing 10 by 13, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 46096.6923
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.

Going ahead to step 12:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 46096.692307
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.

On to step 13:
90 divided by 13 is 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 46096.6923076
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.

Advancing to step 14:
When dividing 120 by 13, we get 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 46096.69230769
If we subtract 117 from 120, we 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.

The final result is 46096.69230769 with a remainder of 3e-09.