588600 ÷ 7 
The aim is to understand the frequency of 7 in 588600.

On to step 1:
When dividing 5 by 7, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 7

Moving on to step 2:
The number 7 fits into 58 8 times, leaving a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 56 from 58 to get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 7

On to step 3:
7 goes into 28 4 times with a remainder of 0.
The next digit of our result is 4. 
Result so far: 84.0
If we subtract 28 from 28, we get 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 7

Advancing to step 4:
6 divided by 7 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 840.0
If we take 0 away from 6, we end up with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 7

Advancing to step 5:
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: 8408.0
If we take 56 away from 60, we end up with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 7

Advancing to step 6:
7 goes into 40 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 84085.0
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 7:
When dividing 50 by 7, we get 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 84085.7
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.

Advancing to step 8:
7 goes into 10 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 84085.71
If we take 7 away from 10, we end up 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.

Going ahead to step 9:
30 divided by 7 is 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 84085.714
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.

Let's proceed to step 10:
20 divided by 7 is 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 84085.7142
Subtract 14 from 20 to 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.

Going ahead to step 11:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 84085.71428
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.

Moving on to step 12:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 84085.714285
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.

Moving on to step 13:
50 divided by 7 is 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 84085.7142857
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.

Step 14:
When dividing 10 by 7, we get 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 84085.71428571
Subtracting 7 from 10 leaves us 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.

The final result is 84085.71428571 with a remainder of 3e-09.