513307 divided by 9 
Let's see how many times 9 fits into 513307.

Step 1:
When dividing 5 by 9, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 9

Going ahead to step 2:
51 divided by 9 is 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 45 from 51, we get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 9

On to step 3:
9 goes into 63 7 times with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 57.0
Subtracting 63 from 63 leaves us with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 9

Step 4:
9 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 570.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 9

On to step 5:
If we divide 30 by 9, we get 3 and a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 5703.0
The remainder is 3 after subtracting 27 from 30.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 9

Advancing to step 6:
9 goes into 37 4 times with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 57034.0
If we subtract 36 from 37, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
9 can be fit into 10 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 57034.1
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 8:
The number 9 fits into 10 1 times, leaving a remainder of 1.
The next digit of our result is 1. 
Result so far: 57034.11
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 57034.11 with a remaining 0.001.