We're dividing 584775 by 13 
Our goal is to divide 584775 by 13.

Step 1:
When dividing 5 by 13, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 13

Moving on to step 2:
13 goes into 58 4 times with a remainder of 6.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 52 from 58 and we're left with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 13

Advancing to step 3:
13 can be fit into 64 4 times, resulting in a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 44.0
If we take 52 away from 64, we end up with 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 13

Step 4:
The number 13 fits into 127 9 times, leaving a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 449.0
The remainder is 10 after subtracting 117 from 127.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 13

Moving on to step 5:
If we divide 107 by 13, we get 8 and a remainder of 3.
The next digit of our result is 8. 
Result so far: 4498.0
Deduct 104 from 107 and we're left with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 13

Step 6:
When dividing 35 by 13, we get 2 with a remainder of 9.
The next digit of our result is 2. 
Result so far: 44982.0
The remainder is 9 after subtracting 26 from 35.
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 7:
When dividing 90 by 13, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 44982.6
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.

Advancing to step 8:
If we divide 120 by 13, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 44982.69
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.

Moving on to step 9:
13 goes into 30 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 44982.692
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.

Step 10:
13 goes into 40 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 44982.6923
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.

Advancing to step 11:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 44982.6923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 44982.692307
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 13:
When dividing 90 by 13, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 44982.6923076
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 14:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 44982.69230769
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 44982.69230769 with a remainder of 3e-09.