579889 divided by 13 
We're looking to find how many times 13 goes into 579889.

Going ahead to step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 13

Advancing to step 2:
When dividing 57 by 13, we get 4 with a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 52 from 57, we get 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 13

Moving on to step 3:
59 divided by 13 is 4 with a remainder of 7.
The next digit of our result is 4. 
Result so far: 44.0
Subtracting 52 from 59 leaves us with 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 13

Step 4:
When dividing 78 by 13, we get 6 with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 446.0
Deduct 78 from 78 and we're left with 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 13

Step 5:
13 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 4460.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 13

Advancing to step 6:
89 divided by 13 is 6 with a remainder of 11.
Put 6 as the next digit of the answer. 
Result so far: 44606.0
If we subtract 78 from 89, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 44606.8
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 44606.84
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 9:
If we divide 80 by 13, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 44606.846
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 10:
If we divide 20 by 13, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 44606.8461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
70 divided by 13 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 44606.84615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 12:
When dividing 50 by 13, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 44606.846153
If we take 39 away from 50, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 13:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 44606.8461538
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 14:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 44606.84615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 44606.84615384 with a balance of 8e-09.