We look at the division of 509109 by 73 
Let's see how many times 73 fits into 509109.

Advancing to step 1:
The number 73 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 73

Let's proceed to step 2:
73 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 50 leaves us with 50.
Fetch the next digit (9) from the dividend, attach it to 50 and continue: 509 / 73

On to step 3:
If we divide 509 by 73, we get 6 and a remainder of 71.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 438 from 509 leaves us with 71.
Append the next digit (1) from the dividend to 71 and continue with: 711 / 73

Going ahead to step 4:
When dividing 711 by 73, we get 9 with a remainder of 54.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
Deduct 657 from 711 and we're left with 54.
Bring next digit (0) of the dividend behind the 54 and repeat the process: 540 / 73

Step 5:
When dividing 540 by 73, we get 7 with a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 697.0
Subtracting 511 from 540 leaves us with 29.
Append the next digit (9) from the dividend to 29 and continue with: 299 / 73

Moving on to step 6:
When dividing 299 by 73, we get 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 6974.0
Subtract 292 from 299 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 7:
When dividing 70 by 73, we get 0 with a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 6974.0
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 8:
700 divided by 73 is 9 with a remainder of 43.
The number 9 becomes the next digit in our result. 
Result so far: 6974.09
If we subtract 657 from 700, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 9:
430 divided by 73 is 5 with a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 6974.095
Subtract 365 from 430 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 10:
650 divided by 73 is 8 with a remainder of 66.
Use 8 as the next digit of our solution. 
Result so far: 6974.0958
If we take 584 away from 650, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 11:
73 can be fit into 660 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 6974.09589
Subtract 657 from 660 to get 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 12:
73 can be fit into 30 0 times, resulting in a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 6974.09589
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 13:
When dividing 300 by 73, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 6974.0958904
Subtract 292 from 300 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 14:
If we divide 80 by 73, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 6974.09589041
The remainder is 7 after subtracting 73 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The quotient of the division is 6974.09589041, and the remainder is 7e-09.