We look at the division of 586902 by 7 
We're looking to find how many times 7 goes into 586902.

Let's proceed to step 1:
If we divide 5 by 7, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 7

Going ahead to step 2:
The number 7 fits into 58 8 times, leaving a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 56 from 58 to get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 7

On to step 3:
The number 7 fits into 26 3 times, leaving a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 83.0
If we subtract 21 from 26, we get 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 7

On to step 4:
The number 7 fits into 59 8 times, leaving a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 838.0
Deduct 56 from 59 and we're left with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 7

Advancing to step 5:
When dividing 30 by 7, we get 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 8384.0
The remainder is 2 after subtracting 28 from 30.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 7

Step 6:
7 can be fit into 22 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 83843.0
Subtracting 21 from 22 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.

On to step 7:
If we divide 10 by 7, we get 1 and a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 83843.1
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 8:
7 goes into 30 4 times with a remainder of 2.
The next digit of our result is 4. 
Result so far: 83843.14
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.

Going ahead to step 9:
20 divided by 7 is 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 83843.142
If we take 14 away from 20, we end up 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.

Moving on to step 10:
60 divided by 7 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 83843.1428
Deduct 56 from 60 and we're left 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:
If we divide 40 by 7, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 83843.14285
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 12:
7 goes into 50 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 83843.142857
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.

Moving on to step 13:
7 goes into 10 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 83843.1428571
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 14:
30 divided by 7 is 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 83843.14285714
Deduct 28 from 30 and we're left 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.

The final outcome is 83843.14285714, with a leftover of 2e-09.