Let's divide 559171 by 13
We're looking to find how many times 13 goes into 559171.

Let's proceed to step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 13

On to step 2:
55 divided by 13 is 4 with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 52 from 55 and we're left with 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 13

Moving on to step 3:
13 can be fit into 39 3 times, resulting in a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 43.0
If we take 39 away from 39, we end up with 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 13

Step 4:
The number 13 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 430.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 13

Advancing to step 5:
13 goes into 17 1 times with a remainder of 4.
The next digit of our result is 1. 
Result so far: 4301.0
The remainder is 4 after subtracting 13 from 17.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 13

Let's proceed to step 6:
13 goes into 41 3 times with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 43013.0
Subtracting 39 from 41 leaves us 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.

On to step 7:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 43013.1
If we subtract 13 from 20, we 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.

Going ahead to step 8:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 43013.15
Deduct 65 from 70 and we're left 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.

Moving on to step 9:
When dividing 50 by 13, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 43013.153
Subtracting 39 from 50 leaves us 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.

Moving on to step 10:
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: 43013.1538
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.

On to step 11:
If we divide 60 by 13, we get 4 and a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 43013.15384
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.

Advancing to step 12:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 43013.153846
Subtracting 78 from 80 leaves us 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.

On to step 13:
If we divide 20 by 13, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 43013.1538461
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.

Let's proceed to step 14:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 43013.15384615
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.

The final result is 43013.15384615 with a remainder of 5e-09.