Let's divide 257317 by 7
We're looking to find how many times 7 goes into 257317.

On to step 1:
7 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 7

Let's proceed to step 2:
25 divided by 7 is 3 with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 21 from 25 leaves us with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 7

Moving on to step 3:
If we divide 47 by 7, we get 6 and a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
Deduct 42 from 47 and we're left with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 7

Let's proceed to step 4:
7 goes into 53 7 times with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 367.0
If we take 49 away from 53, we end up with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 7

Moving on to step 5:
7 can be fit into 41 5 times, resulting in a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 3675.0
The remainder is 6 after subtracting 35 from 41.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 7

Let's proceed to step 6:
If we divide 67 by 7, we get 9 and a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 36759.0
Subtract 63 from 67 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.

Going ahead to step 7:
7 goes into 40 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 36759.5
The remainder is 5 after subtracting 35 from 40.
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 8:
7 goes into 50 7 times with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 36759.57
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.

Let's proceed to step 9:
If we divide 10 by 7, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 36759.571
Deduct 7 from 10 and we're left 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.

On to step 10:
When dividing 30 by 7, we get 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 36759.5714
If we subtract 28 from 30, we 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.

On to step 11:
7 can be fit into 20 2 times, resulting in a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 36759.57142
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.

Step 12:
If we divide 60 by 7, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 36759.571428
If we take 56 away from 60, 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.

Step 13:
When dividing 40 by 7, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 36759.5714285
Subtracting 35 from 40 leaves us 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 14:
The number 7 fits into 50 7 times, leaving a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 36759.57142857
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 36759.57142857 with a remaining 1e-09.