615583 ÷ 13 
We want to figure out the number of times 615583 can be divided by 13.

Let's proceed to step 1:
6 divided by 13 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 13

Moving on to step 2:
If we divide 61 by 13, we get 4 and a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 52 from 61, we get 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 13

On to step 3:
13 can be fit into 95 7 times, resulting in a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 47.0
Subtract 91 from 95 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 13

Going ahead to step 4:
If we divide 45 by 13, we get 3 and a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 473.0
The remainder is 6 after subtracting 39 from 45.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 13

Moving on to step 5:
The number 13 fits into 68 5 times, leaving a remainder of 3.
The next digit of our result is 5. 
Result so far: 4735.0
The remainder is 3 after subtracting 65 from 68.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 13

Step 6:
If we divide 33 by 13, we get 2 and a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 47352.0
Subtract 26 from 33 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.

Let's proceed to step 7:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 47352.5
Subtracting 65 from 70 leaves us 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.

Step 8:
If we divide 50 by 13, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 47352.53
If we subtract 39 from 50, 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.

Advancing to step 9:
13 goes into 110 8 times with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 47352.538
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.

On to step 10:
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: 47352.5384
Deduct 52 from 60 and we're left 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.

Going ahead to step 11:
When dividing 80 by 13, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 47352.53846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
When dividing 20 by 13, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 47352.538461
Subtracting 13 from 20 leaves us with 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 13:
70 divided by 13 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 47352.5384615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 14:
13 goes into 50 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 47352.53846153
If we subtract 39 from 50, 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.

Our division results in 47352.53846153 with a remaining 1.1e-08.