512313 divided by 7 
We're looking to find how many times 7 goes into 512313.

Going ahead to step 1:
5 divided by 7 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 7

On to step 2:
When dividing 51 by 7, we get 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 49 away from 51, we end up with 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 7

On to step 3:
22 divided by 7 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 73.0
Subtracting 21 from 22 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 7

Going ahead to step 4:
13 divided by 7 is 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 731.0
Subtract 7 from 13 to get 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 7

Let's proceed to step 5:
If we divide 61 by 7, we get 8 and a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 7318.0
Subtracting 56 from 61 leaves us with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 7

Advancing to step 6:
7 goes into 53 7 times with a remainder of 4.
The next digit of our result is 7. 
Result so far: 73187.0
If we take 49 away from 53, we end up 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:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 73187.5
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.

Moving on to step 8:
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: 73187.57
Subtract 49 from 50 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 9:
10 divided by 7 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 73187.571
Subtract 7 from 10 to get 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:
7 goes into 30 4 times with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 73187.5714
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:
7 can be fit into 20 2 times, resulting in a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 73187.57142
The remainder is 6 after subtracting 14 from 20.
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 12:
When dividing 60 by 7, we get 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 73187.571428
Subtract 56 from 60 to 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.

Advancing to step 13:
40 divided by 7 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 73187.5714285
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.

Let's proceed to step 14:
7 goes into 50 7 times with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 73187.57142857
If we subtract 49 from 50, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 73187.57142857, and the remainder is 1e-09.