We look at the division of 513865 by 69 
We're looking to find how many times 69 goes into 513865.

On to step 1:
When dividing 5 by 69, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 69

Let's proceed to step 2:
51 divided by 69 is 0 with a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Take the next digit (3) from the dividend and append it to 51, then repeat: 513 / 69

Step 3:
513 divided by 69 is 7 with a remainder of 30.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 483 from 513 to get 30.
Bring next digit (8) of the dividend behind the 30 and repeat the process: 308 / 69

Going ahead to step 4:
When dividing 308 by 69, we get 4 with a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 74.0
Subtracting 276 from 308 leaves us with 32.
Grab the next digit (6) from the dividend, add it to 32, then carry on: 326 / 69

Step 5:
69 can be fit into 326 4 times, resulting in a remainder of 50.
Write down 4 as next digit of the result. 
Result so far: 744.0
If we take 276 away from 326, we end up with 50.
Fetch the next digit (5) from the dividend, attach it to 50 and continue: 505 / 69

Going ahead to step 6:
If we divide 505 by 69, we get 7 and a remainder of 22.
Record the quotient 7 as the next digit in the result. 
Result so far: 7447.0
If we subtract 483 from 505, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
When dividing 220 by 69, we get 3 with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 7447.3
If we subtract 207 from 220, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 8:
The number 69 fits into 130 1 times, leaving a remainder of 61.
Put 1 as the next digit of the answer. 
Result so far: 7447.31
Subtract 69 from 130 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 9:
610 divided by 69 is 8 with a remainder of 58.
Record the quotient 8 as the next digit in the result. 
Result so far: 7447.318
Deduct 552 from 610 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 10:
69 goes into 580 8 times with a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 7447.3188
If we subtract 552 from 580, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final result is 7447.3188 with a remainder of 0.00028.