We look at the division of 583465 by 7 
Our goal is to divide 583465 by 7.

Going ahead to step 1:
When dividing 5 by 7, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 7

On to step 2:
When dividing 58 by 7, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 56 away from 58, we end up with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 7

Step 3:
7 goes into 23 3 times with a remainder of 2.
The next digit of our result is 3. 
Result so far: 83.0
If we take 21 away from 23, we end up with 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 7

On to step 4:
When dividing 24 by 7, we get 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 833.0
Subtract 21 from 24 to get 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 7

Going ahead to step 5:
36 divided by 7 is 5 with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 8335.0
If we take 35 away from 36, we end up with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 7

Let's proceed to step 6:
15 divided by 7 is 2 with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 83352.0
Subtracting 14 from 15 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.

Step 7:
The number 7 fits into 10 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 83352.1
If we subtract 7 from 10, we 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.

Moving on to step 8:
30 divided by 7 is 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 83352.14
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.

On to step 9:
The number 7 fits into 20 2 times, leaving a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 83352.142
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 10:
If we divide 60 by 7, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 83352.1428
Subtracting 56 from 60 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.

On to step 11:
7 goes into 40 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 83352.14285
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.

Let's proceed to step 12:
7 goes into 50 7 times with a remainder of 1.
The next digit of our result is 7. 
Result so far: 83352.142857
If we take 49 away from 50, we end up 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.

Step 13:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 83352.1428571
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 14:
30 divided by 7 is 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 83352.14285714
The remainder is 2 after subtracting 28 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 83352.14285714 and a remainder of 2e-09.