Let's divide 901309 by 13
Our goal is to divide 901309 by 13.

On to step 1:
If we divide 9 by 13, we get 0 and a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 13

On to step 2:
13 goes into 90 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 78 from 90 and we're left with 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 13

Moving on to step 3:
If we divide 121 by 13, we get 9 and a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 69.0
Subtract 117 from 121 to get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 13

Step 4:
The number 13 fits into 43 3 times, leaving a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 693.0
Subtract 39 from 43 to get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 13

Going ahead to step 5:
40 divided by 13 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 6933.0
If we take 39 away from 40, we end up with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 13

On to step 6:
The number 13 fits into 19 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 69331.0
If we subtract 13 from 19, 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.

Going ahead to step 7:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 69331.4
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.

Going ahead to step 8:
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: 69331.46
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.

Let's proceed to step 9:
20 divided by 13 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 69331.461
Subtract 13 from 20 to 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.

Moving on to step 10:
13 goes into 70 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 69331.4615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 11:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 69331.46153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 12:
When dividing 110 by 13, we get 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 69331.461538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 69331.4615384
The remainder is 8 after subtracting 52 from 60.
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 14:
80 divided by 13 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 69331.46153846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 69331.46153846 with a remainder of 2e-09.