We're dividing 513009 by 91 
We want to figure out the number of times 513009 can be divided by 91.

Step 1:
91 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
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 91

Step 2:
51 divided by 91 is 0 with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Include the next digit (3) from the dividend after 51, then repeat: 513 / 91

Let's proceed to step 3:
If we divide 513 by 91, we get 5 and a remainder of 58.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 455 from 513, we get 58.
Grab the next digit (0) from the dividend, add it to 58, then carry on: 580 / 91

Let's proceed to step 4:
If we divide 580 by 91, we get 6 and a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 56.0
If we take 546 away from 580, we end up with 34.
Take the next digit (0) from the dividend and append it to 34, then repeat: 340 / 91

Step 5:
340 divided by 91 is 3 with a remainder of 67.
The number 3 becomes the next digit in our result. 
Result so far: 563.0
If we take 273 away from 340, we end up with 67.
Fetch the next digit (9) from the dividend, attach it to 67 and continue: 679 / 91

Moving on to step 6:
91 goes into 679 7 times with a remainder of 42.
The number 7 becomes the next digit in our result. 
Result so far: 5637.0
Subtract 637 from 679 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 7:
When dividing 420 by 91, we get 4 with a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 5637.4
Deduct 364 from 420 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 8:
The number 91 fits into 560 6 times, leaving a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 5637.46
Subtract 546 from 560 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
140 divided by 91 is 1 with a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 5637.461
If we take 91 away from 140, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 10:
The number 91 fits into 490 5 times, leaving a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 5637.4615
If we subtract 455 from 490, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 11:
If we divide 350 by 91, we get 3 and a remainder of 77.
Write down 3 as next digit of the result. 
Result so far: 5637.46153
If we take 273 away from 350, we end up with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 12:
The number 91 fits into 770 8 times, leaving a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 5637.461538
The remainder is 42 after subtracting 728 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 13:
The number 91 fits into 420 4 times, leaving a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 5637.4615384
Deduct 364 from 420 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 14:
560 divided by 91 is 6 with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 5637.46153846
Deduct 546 from 560 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 5637.46153846, and the remainder is 1.4e-08.