We divide 511682 by 69
Our goal is to divide 511682 by 69.

Let's proceed to step 1:
If we divide 5 by 69, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 69

Going ahead to step 2:
51 divided by 69 is 0 with a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Take the next digit (1) from the dividend and append it to 51, then repeat: 511 / 69

Let's proceed to step 3:
69 can be fit into 511 7 times, resulting in a remainder of 28.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 483 from 511 and we're left with 28.
Append the next digit (6) from the dividend to 28 and continue with: 286 / 69

Moving on to step 4:
If we divide 286 by 69, we get 4 and a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
Subtracting 276 from 286 leaves us with 10.
Include the next digit (8) from the dividend after 10, then repeat: 108 / 69

On to step 5:
69 can be fit into 108 1 times, resulting in a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 741.0
If we take 69 away from 108, we end up with 39.
Append the next digit (2) from the dividend to 39 and continue with: 392 / 69

Let's proceed to step 6:
If we divide 392 by 69, we get 5 and a remainder of 47.
Put 5 as the next digit of the answer. 
Result so far: 7415.0
Deduct 345 from 392 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 7:
When dividing 470 by 69, we get 6 with a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 7415.6
Subtracting 414 from 470 leaves us 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.

Step 8:
69 can be fit into 560 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 7415.68
If we take 552 away from 560, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
When dividing 80 by 69, we get 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 7415.681
Subtract 69 from 80 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 10:
69 can be fit into 110 1 times, resulting in a remainder of 41.
Record the quotient 1 as the next digit in the result. 
Result so far: 7415.6811
If we subtract 69 from 110, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

In conclusion, the division gives 7415.6811 with a balance of 0.00041.