490879 ÷ 13 
Our goal is to divide 490879 by 13.

Let's proceed to step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 13

Moving on to step 2:
The number 13 fits into 49 3 times, leaving a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 39 from 49 leaves us with 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 13

Moving on to step 3:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 37.0
Subtracting 91 from 100 leaves us with 9.
Take the next digit (8) from the dividend and append it to 9, then repeat: 98 / 13

Step 4:
98 divided by 13 is 7 with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 377.0
Subtracting 91 from 98 leaves us with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 13

On to step 5:
The number 13 fits into 77 5 times, leaving a remainder of 12.
The next digit of our result is 5. 
Result so far: 3775.0
If we subtract 65 from 77, we get 12.
Grab the next digit (9) from the dividend, add it to 12, then carry on: 129 / 13

Let's proceed to step 6:
13 goes into 129 9 times with a remainder of 12.
The next digit of our result is 9. 
Result so far: 37759.0
If we take 117 away from 129, 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.

Advancing to step 7:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 37759.9
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.

Advancing to step 8:
If we divide 30 by 13, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 37759.92
If we subtract 26 from 30, we 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.

Let's proceed to step 9:
40 divided by 13 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 37759.923
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 10:
If we divide 10 by 13, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 37759.923
Subtracting 0 from 10 leaves us 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.

Let's proceed to step 11:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 37759.92307
If we subtract 91 from 100, we 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 12:
When dividing 90 by 13, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 37759.923076
The remainder is 12 after subtracting 78 from 90.
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 13:
When dividing 120 by 13, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 37759.9230769
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.

Advancing to step 14:
If we divide 30 by 13, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 37759.92307692
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.

Our division results in 37759.92307692 with a remaining 4e-09.