We look at the division of 605768 by 13 
We're looking to find how many times 13 goes into 605768.

Moving on to step 1:
6 divided by 13 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 13

Step 2:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 52 from 60 leaves us with 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 13

Going ahead to step 3:
If we divide 85 by 13, we get 6 and a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 46.0
If we take 78 away from 85, we end up with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 13

Advancing to step 4:
When dividing 77 by 13, we get 5 with a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 465.0
The remainder is 12 after subtracting 65 from 77.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 13

Going ahead to step 5:
When dividing 126 by 13, we get 9 with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 4659.0
Subtracting 117 from 126 leaves us with 9.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 13

On to step 6:
The number 13 fits into 98 7 times, leaving a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 46597.0
Deduct 91 from 98 and we're left 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 7:
When dividing 70 by 13, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 46597.5
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
13 goes into 50 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 46597.53
Deduct 39 from 50 and we're left 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.

Let's proceed to step 9:
110 divided by 13 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 46597.538
If we subtract 104 from 110, we get 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 10:
When dividing 60 by 13, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 46597.5384
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.

Advancing to step 11:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 46597.53846
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.

Let's proceed to step 12:
13 goes into 20 1 times with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 46597.538461
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.

Let's proceed to step 13:
If we divide 70 by 13, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 46597.5384615
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.

Let's proceed to step 14:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 46597.53846153
Deduct 39 from 50 and we're left 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.

The final outcome is 46597.53846153, with a leftover of 1.1e-08.