We're dividing 513511 by 69 
We want to figure out the number of times 513511 can be divided by 69.

Step 1:
The number 69 fits into 5 0 times, leaving 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.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 69

Moving on to step 2:
The number 69 fits into 51 0 times, leaving a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Grab the next digit (3) from the dividend, add it to 51, then carry on: 513 / 69

Let's proceed to step 3:
513 divided by 69 is 7 with a remainder of 30.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 483 away from 513, we end up with 30.
Take the next digit (5) from the dividend and append it to 30, then repeat: 305 / 69

Step 4:
69 can be fit into 305 4 times, resulting in a remainder of 29.
Write down 4 as next digit of the result. 
Result so far: 74.0
If we subtract 276 from 305, we get 29.
Append the next digit (1) from the dividend to 29 and continue with: 291 / 69

Advancing to step 5:
If we divide 291 by 69, we get 4 and a remainder of 15.
Use 4 as the next digit of our solution. 
Result so far: 744.0
The remainder is 15 after subtracting 276 from 291.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 69

Let's proceed to step 6:
When dividing 151 by 69, we get 2 with a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 7442.0
Subtracting 138 from 151 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
69 goes into 130 1 times with a remainder of 61.
Record the quotient 1 as the next digit in the result. 
Result so far: 7442.1
If we take 69 away from 130, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 8:
69 goes into 610 8 times with a remainder of 58.
Put 8 as the next digit of the answer. 
Result so far: 7442.18
Subtract 552 from 610 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 9:
69 goes into 580 8 times with a remainder of 28.
The next digit of our result is 8. 
Result so far: 7442.188
The remainder is 28 after subtracting 552 from 580.
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 7442.188 with a remainder of 0.0028.