584465 ÷ 13 
We're looking to find how many times 13 goes into 584465.

On to step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 13

Moving on to step 2:
58 divided by 13 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 52 from 58 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 13

Advancing to step 3:
64 divided by 13 is 4 with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 44.0
Subtract 52 from 64 to get 12.
Append the next digit (4) from the dividend to 12 and continue with: 124 / 13

Moving on to step 4:
If we divide 124 by 13, we get 9 and a remainder of 7.
The next digit of our result is 9. 
Result so far: 449.0
If we take 117 away from 124, we end up with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 13

Moving on to step 5:
76 divided by 13 is 5 with a remainder of 11.
Use 5 as the next digit of our solution. 
Result so far: 4495.0
Deduct 65 from 76 and we're left with 11.
Include the next digit (5) from the dividend after 11, then repeat: 115 / 13

Step 6:
115 divided by 13 is 8 with a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 44958.0
If we take 104 away from 115, 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.

Step 7:
When dividing 110 by 13, we get 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 44958.8
Subtracting 104 from 110 leaves us 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.

Advancing to step 8:
If we divide 60 by 13, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 44958.84
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
13 goes into 80 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 44958.846
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 44958.8461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 11:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 44958.84615
If we take 65 away from 70, we end up 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.

Going ahead to step 12:
50 divided by 13 is 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 44958.846153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 13:
13 goes into 110 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 44958.8461538
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.

Step 14:
When dividing 60 by 13, we get 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 44958.84615384
Subtracting 52 from 60 leaves us with 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 44958.84615384 with a balance of 8e-09.