5309 divided by 73 
We're looking to find how many times 73 goes into 5309.

Going ahead to step 1:
73 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 73

Step 2:
53 divided by 73 is 0 with a remainder of 53.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 53 and we're left with 53.
Include the next digit (0) from the dividend after 53, then repeat: 530 / 73

Advancing to step 3:
When dividing 530 by 73, we get 7 with a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 19 after subtracting 511 from 530.
Append the next digit (9) from the dividend to 19 and continue with: 199 / 73

Step 4:
If we divide 199 by 73, we get 2 and a remainder of 53.
Write down 2 as next digit of the result. 
Result so far: 72.0
Subtract 146 from 199 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 5:
If we divide 530 by 73, we get 7 and a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 72.7
Deduct 511 from 530 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 6:
When dividing 190 by 73, we get 2 with a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 72.72
Subtract 146 from 190 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 7:
The number 73 fits into 440 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 72.726
Deduct 438 from 440 and we're left 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 8:
20 divided by 73 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 72.726
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
When dividing 200 by 73, we get 2 with a remainder of 54.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.72602
If we take 146 away from 200, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 10:
540 divided by 73 is 7 with a remainder of 29.
The next digit of our result is 7. 
Result so far: 72.726027
The remainder is 29 after subtracting 511 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 11:
73 goes into 290 3 times with a remainder of 71.
The next digit of our result is 3. 
Result so far: 72.7260273
The remainder is 71 after subtracting 219 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 12:
710 divided by 73 is 9 with a remainder of 53.
The number 9 becomes the next digit in our result. 
Result so far: 72.72602739
If we subtract 657 from 710, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Our division results in 72.72602739 with a remaining 5.3e-08.