Let's divide 517638 by 13
We want to figure out the number of times 517638 can be divided by 13.

Let's proceed to step 1:
5 divided by 13 is 0 with 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.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 13

Moving on to step 2:
13 goes into 51 3 times with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 39 away from 51, we end up with 12.
Bring next digit (7) of the dividend behind the 12 and repeat the process: 127 / 13

Advancing to step 3:
13 goes into 127 9 times with a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 39.0
If we subtract 117 from 127, we get 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 13

Advancing to step 4:
When dividing 106 by 13, we get 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 398.0
If we subtract 104 from 106, we get 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 13

Going ahead to step 5:
When dividing 23 by 13, we get 1 with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 3981.0
The remainder is 10 after subtracting 13 from 23.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 13

Moving on to step 6:
13 can be fit into 108 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 39818.0
Deduct 104 from 108 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.

Let's proceed to step 7:
13 goes into 40 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 39818.3
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.

Advancing to step 8:
10 divided by 13 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 39818.3
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.

Moving on to step 9:
When dividing 100 by 13, we get 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 39818.307
The remainder is 9 after subtracting 91 from 100.
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 10:
When dividing 90 by 13, we get 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 39818.3076
Deduct 78 from 90 and we're left 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.

Going ahead to step 11:
If we divide 120 by 13, we get 9 and a remainder of 3.
The next digit of our result is 9. 
Result so far: 39818.30769
Subtracting 117 from 120 leaves us 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.

On to step 12:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 39818.307692
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 39818.3076923
If we take 39 away from 40, we end up 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.

Going ahead to step 14:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 39818.3076923
Subtracting 0 from 10 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.

The final result is 39818.3076923 with a remainder of 1e-08.