565743 divided by 13 
We want to divide 565743 by 13.

Advancing to step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 13

Step 2:
13 goes into 56 4 times with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 52 from 56, we get 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 13

Advancing to step 3:
If we divide 45 by 13, we get 3 and a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 43.0
Deduct 39 from 45 and we're left with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 13

Step 4:
67 divided by 13 is 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 435.0
Deduct 65 from 67 and we're left with 2.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 13

Step 5:
When dividing 24 by 13, we get 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 4351.0
If we take 13 away from 24, we end up with 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 13

Advancing to step 6:
When dividing 113 by 13, we get 8 with a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 43518.0
The remainder is 9 after subtracting 104 from 113.
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 7:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 43518.6
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.

Let's proceed to step 8:
120 divided by 13 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 43518.69
If we take 117 away from 120, we end up with 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:
30 divided by 13 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 43518.692
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.

Advancing to step 10:
When dividing 40 by 13, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 43518.6923
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.

Moving on to step 11:
10 divided by 13 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 43518.6923
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 12:
13 goes into 100 7 times with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 43518.692307
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.

Moving on to step 13:
90 divided by 13 is 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 43518.6923076
The remainder is 12 after subtracting 78 from 90.
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 14:
When dividing 120 by 13, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 43518.69230769
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 43518.69230769 with a remainder of 3e-09.