We're dividing 597880 by 10 
The aim is to understand the frequency of 10 in 597880.

On to step 1:
When dividing 5 by 10, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 10

Let's proceed to step 2:
When dividing 59 by 10, we get 5 with a remainder of 9.
The next digit of our result is 5. 
Result so far: 5.0
If we take 50 away from 59, we end up with 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 10

Advancing to step 3:
If we divide 97 by 10, we get 9 and a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
If we subtract 90 from 97, we get 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 10

Moving on to step 4:
10 goes into 78 7 times with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 597.0
If we take 70 away from 78, we end up with 8.
Grab the next digit (8) from the dividend, add it to 8, then carry on: 88 / 10

Going ahead to step 5:
10 can be fit into 88 8 times, resulting in a remainder of 8.
The next digit of our result is 8. 
Result so far: 5978.0
Subtract 80 from 88 to get 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 10

Advancing to step 6:
10 goes into 80 8 times with a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 59788.0
If we take 80 away from 80, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
When dividing 0 by 10, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 59788.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
When dividing 0 by 10, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 59788.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 59788.0 with a balance of 0.0.