Let's divide 507634 by 13
Let's see how many times 13 fits into 507634.

Going ahead to step 1:
5 divided by 13 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 13

Moving on to step 2:
If we divide 50 by 13, we get 3 and a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 11 after subtracting 39 from 50.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 13

Going ahead to step 3:
13 can be fit into 117 9 times, resulting in a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 39.0
Subtract 117 from 117 to get 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 13

On to step 4:
If we divide 6 by 13, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 390.0
If we take 0 away from 6, we end up with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 13

Going ahead to step 5:
13 can be fit into 63 4 times, resulting in a remainder of 11.
The number 4 becomes the next digit in our result. 
Result so far: 3904.0
If we subtract 52 from 63, we get 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 13

Let's proceed to step 6:
13 can be fit into 114 8 times, resulting in a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 39048.0
If we take 104 away from 114, we end up 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 7:
100 divided by 13 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 39048.7
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.

Let's proceed to step 8:
When dividing 90 by 13, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 39048.76
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
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: 39048.769
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 10:
30 divided by 13 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 39048.7692
If we take 26 away from 30, we end up 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 11:
13 goes into 40 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 39048.76923
The remainder is 1 after subtracting 39 from 40.
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:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 39048.76923
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.

Step 13:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 39048.7692307
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.

Going ahead to step 14:
13 goes into 90 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 39048.76923076
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.

The quotient of the division is 39048.76923076, and the remainder is 1.2e-08.