We're dividing 8640877 by 109 
We want to figure out the number of times 8640877 can be divided by 109.

Moving on to step 1:
When dividing 8 by 109, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 109

Going ahead to step 2:
86 divided by 109 is 0 with a remainder of 86.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 86 after subtracting 0 from 86.
Bring next digit (4) of the dividend behind the 86 and repeat the process: 864 / 109

Advancing to step 3:
When dividing 864 by 109, we get 7 with a remainder of 101.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 763 from 864 and we're left with 101.
Take the next digit (0) from the dividend and append it to 101, then repeat: 1010 / 109

Going ahead to step 4:
109 can be fit into 1010 9 times, resulting in a remainder of 29.
Write down 9 as next digit of the result. 
Result so far: 79.0
If we take 981 away from 1010, we end up with 29.
Append the next digit (8) from the dividend to 29 and continue with: 298 / 109

Let's proceed to step 5:
If we divide 298 by 109, we get 2 and a remainder of 80.
The number 2 becomes the next digit in our result. 
Result so far: 792.0
Subtract 218 from 298 to get 80.
Append the next digit (7) from the dividend to 80 and continue with: 807 / 109

Advancing to step 6:
807 divided by 109 is 7 with a remainder of 44.
Use 7 as the next digit of our solution. 
Result so far: 7927.0
Subtracting 763 from 807 leaves us with 44.
Include the next digit (7) from the dividend after 44, then repeat: 447 / 109

Let's proceed to step 7:
109 can be fit into 447 4 times, resulting in a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 79274.0
Subtracting 436 from 447 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
The number 109 fits into 110 1 times, leaving a remainder of 1.
The next digit of our result is 1. 
Result so far: 79274.1
Subtract 109 from 110 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.

Going ahead to step 9:
The number 109 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 79274.1
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
109 goes into 100 0 times with a remainder of 100.
Put 0 as the next digit of the answer. 
Result so far: 79274.1
The remainder is 100 after subtracting 0 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Our division results in 79274.1 with a remaining 0.01.