We're dividing 585338 by 7 
We want to divide 585338 by 7.

Advancing to step 1:
5 divided by 7 is 0 with a remainder of 5.
The number 0 becomes the next digit in our 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:
If we divide 58 by 7, we get 8 and a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 56 from 58 leaves us with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 7

Let's proceed to step 3:
The number 7 fits into 25 3 times, leaving a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 83.0
Subtracting 21 from 25 leaves us with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 7

Step 4:
The number 7 fits into 43 6 times, leaving a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 836.0
Subtracting 42 from 43 leaves us with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 7

Let's proceed to step 5:
7 can be fit into 13 1 times, resulting in a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 8361.0
Subtract 7 from 13 to get 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 7

Moving on to step 6:
If we divide 68 by 7, we get 9 and a remainder of 5.
Put 9 as the next digit of the answer. 
Result so far: 83619.0
Subtract 63 from 68 to get 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 7:
7 goes into 50 7 times with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 83619.7
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 8:
When dividing 10 by 7, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 83619.71
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 9:
30 divided by 7 is 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 83619.714
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.

On to step 10:
The number 7 fits into 20 2 times, leaving a remainder of 6.
The next digit of our result is 2. 
Result so far: 83619.7142
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.

Let's proceed to step 11:
If we divide 60 by 7, we get 8 and a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 83619.71428
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 12:
40 divided by 7 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 83619.714285
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.

Advancing to step 13:
If we divide 50 by 7, we get 7 and a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 83619.7142857
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.

Let's proceed to step 14:
When dividing 10 by 7, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 83619.71428571
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.

After the division, we end up with 83619.71428571 and a remainder of 3e-09.