78155309 ÷ 870 
The aim is to understand the frequency of 870 in 78155309.

Going ahead to step 1:
7 divided by 870 is 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 870

On to step 2:
870 can be fit into 78 0 times, resulting in a remainder of 78.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 78, we get 78.
Fetch the next digit (1) from the dividend, attach it to 78 and continue: 781 / 870

Moving on to step 3:
781 divided by 870 is 0 with a remainder of 781.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 781 after subtracting 0 from 781.
Append the next digit (5) from the dividend to 781 and continue with: 7815 / 870

Moving on to step 4:
The number 870 fits into 7815 8 times, leaving a remainder of 855.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we subtract 6960 from 7815, we get 855.
Append the next digit (5) from the dividend to 855 and continue with: 8555 / 870

Moving on to step 5:
If we divide 8555 by 870, we get 9 and a remainder of 725.
Put 9 as the next digit of the answer. 
Result so far: 89.0
Deduct 7830 from 8555 and we're left with 725.
Fetch the next digit (3) from the dividend, attach it to 725 and continue: 7253 / 870

Step 6:
7253 divided by 870 is 8 with a remainder of 293.
Write down 8 as next digit of the result. 
Result so far: 898.0
Subtract 6960 from 7253 to get 293.
Bring next digit (0) of the dividend behind the 293 and repeat the process: 2930 / 870

Step 7:
870 can be fit into 2930 3 times, resulting in a remainder of 320.
The number 3 becomes the next digit in our result. 
Result so far: 8983.0
If we take 2610 away from 2930, we end up with 320.
Grab the next digit (9) from the dividend, add it to 320, then carry on: 3209 / 870

Moving on to step 8:
The number 870 fits into 3209 3 times, leaving a remainder of 599.
Record the quotient 3 as the next digit in the result. 
Result so far: 89833.0
If we subtract 2610 from 3209, we get 599.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5990, and continue the process.

Let's proceed to step 9:
5990 divided by 870 is 6 with a remainder of 770.
Record the quotient 6 as the next digit in the result. 
Result so far: 89833.6
Deduct 5220 from 5990 and we're left with 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7700, and continue the process.

Step 10:
When dividing 7700 by 870, we get 8 with a remainder of 740.
Record the quotient 8 as the next digit in the result. 
Result so far: 89833.68
Subtract 6960 from 7700 to get 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7400, and continue the process.

Step 11:
870 can be fit into 7400 8 times, resulting in a remainder of 440.
Put 8 as the next digit of the answer. 
Result so far: 89833.688
Subtracting 6960 from 7400 leaves us with 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

In conclusion, the division gives 89833.688 with a balance of 0.044.