587102 divided by 7 
Let's see how many times 7 fits into 587102.

Going ahead to step 1:
7 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 7

On to step 2:
The number 7 fits into 58 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 56 from 58, we get 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 7

On to step 3:
If we divide 27 by 7, we get 3 and a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 83.0
Subtract 21 from 27 to get 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 7

Going ahead to step 4:
If we divide 61 by 7, we get 8 and a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 838.0
The remainder is 5 after subtracting 56 from 61.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 7

Let's proceed to step 5:
7 goes into 50 7 times with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 8387.0
Subtract 49 from 50 to get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 7

Advancing to step 6:
When dividing 12 by 7, we get 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 83871.0
Subtract 7 from 12 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.

Moving on to step 7:
If we divide 50 by 7, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 83871.7
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.

Let's proceed to step 8:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 83871.71
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 9:
The number 7 fits into 30 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 83871.714
If we take 28 away from 30, we end up 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.

Step 10:
If we divide 20 by 7, we get 2 and a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 83871.7142
Subtracting 14 from 20 leaves us 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.

Step 11:
60 divided by 7 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 83871.71428
The remainder is 4 after subtracting 56 from 60.
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 12:
40 divided by 7 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 83871.714285
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.

On to step 13:
The number 7 fits into 50 7 times, leaving a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 83871.7142857
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.

Let's proceed to step 14:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 83871.71428571
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.

In conclusion, the division gives 83871.71428571 with a balance of 3e-09.