We're dividing 513069 by 7 
We want to figure out the number of times 513069 can be divided by 7.

Advancing to step 1:
The number 7 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
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 / 7

On to step 2:
7 goes into 51 7 times with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 49 from 51, we get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 7

Moving on to step 3:
7 goes into 23 3 times with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 73.0
Subtract 21 from 23 to get 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 7

Advancing to step 4:
7 goes into 20 2 times with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 732.0
If we take 14 away from 20, we end up with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 7

Advancing to step 5:
The number 7 fits into 66 9 times, leaving a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 7329.0
If we subtract 63 from 66, we get 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 7

Let's proceed to step 6:
When dividing 39 by 7, we get 5 with a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 73295.0
Subtracting 35 from 39 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
If we divide 40 by 7, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 73295.5
Deduct 35 from 40 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 73295.57
Subtracting 49 from 50 leaves us 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.

Going ahead to step 9:
10 divided by 7 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 73295.571
Subtracting 7 from 10 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
When dividing 30 by 7, we get 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 73295.5714
Subtract 28 from 30 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 11:
20 divided by 7 is 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 73295.57142
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 12:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 73295.571428
If we subtract 56 from 60, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 13:
7 goes into 40 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 73295.5714285
Deduct 35 from 40 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 14:
If we divide 50 by 7, we get 7 and a remainder of 1.
The next digit of our result is 7. 
Result so far: 73295.57142857
Deduct 49 from 50 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 73295.57142857 with a remaining 1e-09.