509321 ÷ 73 
Our goal is to divide 509321 by 73.

On to step 1:
73 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 73

Moving on to step 2:
73 goes into 50 0 times with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Fetch the next digit (9) from the dividend, attach it to 50 and continue: 509 / 73

Let's proceed to step 3:
509 divided by 73 is 6 with a remainder of 71.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 438 away from 509, we end up with 71.
Take the next digit (3) from the dividend and append it to 71, then repeat: 713 / 73

Let's proceed to step 4:
73 can be fit into 713 9 times, resulting in a remainder of 56.
Write down 9 as next digit of the result. 
Result so far: 69.0
If we take 657 away from 713, we end up with 56.
Grab the next digit (2) from the dividend, add it to 56, then carry on: 562 / 73

Moving on to step 5:
If we divide 562 by 73, we get 7 and a remainder of 51.
Use 7 as the next digit of our solution. 
Result so far: 697.0
Subtracting 511 from 562 leaves us with 51.
Grab the next digit (1) from the dividend, add it to 51, then carry on: 511 / 73

Let's proceed to step 6:
73 goes into 511 7 times with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 6977.0
The remainder is 0 after subtracting 511 from 511.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
The number 73 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 6977.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
If we divide 0 by 73, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6977.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 6977.0, and the remainder is 0.0.