517826 ÷ 13 
Let's see how many times 13 fits into 517826.

On to step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 13

Moving on to step 2:
51 divided by 13 is 3 with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 39 from 51 and we're left with 12.
Bring next digit (7) of the dividend behind the 12 and repeat the process: 127 / 13

Advancing to step 3:
127 divided by 13 is 9 with a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 39.0
Deduct 117 from 127 and we're left with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 13

On to step 4:
13 can be fit into 108 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 398.0
If we take 104 away from 108, we end up with 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 13

Let's proceed to step 5:
If we divide 42 by 13, we get 3 and a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 3983.0
If we subtract 39 from 42, we get 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 13

Let's proceed to step 6:
If we divide 36 by 13, we get 2 and a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 39832.0
Subtracting 26 from 36 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
13 goes into 100 7 times with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 39832.7
Subtract 91 from 100 to 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.

On to step 8:
13 goes into 90 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 39832.76
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 9:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 39832.769
Deduct 117 from 120 and we're left 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 10:
30 divided by 13 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 39832.7692
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.

Moving on to step 11:
When dividing 40 by 13, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 39832.76923
If we subtract 39 from 40, we get 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 12:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 39832.76923
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 13:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 39832.7692307
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 14:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 39832.76923076
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.

After the division, we end up with 39832.76923076 and a remainder of 1.2e-08.