We're dividing 513029 by 7 
We want to divide 513029 by 7.

Step 1:
5 divided by 7 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 7

Step 2:
If we divide 51 by 7, we get 7 and a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 49 from 51 and we're left with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 7

Let's proceed to step 3:
7 can be fit into 23 3 times, resulting in a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 73.0
If we take 21 away from 23, we end up with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 7

Step 4:
When dividing 20 by 7, we get 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 732.0
Subtract 14 from 20 to get 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 7

On to step 5:
The number 7 fits into 62 8 times, leaving a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 7328.0
The remainder is 6 after subtracting 56 from 62.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 7

On to step 6:
If we divide 69 by 7, we get 9 and a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 73289.0
Deduct 63 from 69 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 73289.8
Deduct 56 from 60 and we're left 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 8:
The number 7 fits into 40 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 73289.85
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.

Moving on to step 9:
If we divide 50 by 7, we get 7 and a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 73289.857
The remainder is 1 after subtracting 49 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 10:
7 goes into 10 1 times with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 73289.8571
If we take 7 away from 10, we end up 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.

Moving on to step 11:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 73289.85714
Subtracting 28 from 30 leaves us with 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 12:
7 goes into 20 2 times with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 73289.857142
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 13:
If we divide 60 by 7, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 73289.8571428
Deduct 56 from 60 and we're left 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 14:
7 goes into 40 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 73289.85714285
If we take 35 away from 40, we end up 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.

After the division, we end up with 73289.85714285 and a remainder of 5e-09.