We're dividing 77231579 by 127 
We want to figure out the number of times 77231579 can be divided by 127.

On to step 1:
127 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 127

Going ahead to step 2:
The number 127 fits into 77 0 times, leaving a remainder of 77.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 77 and we're left with 77.
Bring next digit (2) of the dividend behind the 77 and repeat the process: 772 / 127

Step 3:
127 goes into 772 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 10 after subtracting 762 from 772.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 127

Let's proceed to step 4:
The number 127 fits into 103 0 times, leaving a remainder of 103.
Write down 0 as next digit of the result. 
Result so far: 60.0
If we take 0 away from 103, we end up with 103.
Append the next digit (1) from the dividend to 103 and continue with: 1031 / 127

On to step 5:
127 can be fit into 1031 8 times, resulting in a remainder of 15.
Put 8 as the next digit of the answer. 
Result so far: 608.0
Deduct 1016 from 1031 and we're left with 15.
Take the next digit (5) from the dividend and append it to 15, then repeat: 155 / 127

Moving on to step 6:
155 divided by 127 is 1 with a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 6081.0
If we take 127 away from 155, we end up with 28.
Fetch the next digit (7) from the dividend, attach it to 28 and continue: 287 / 127

Step 7:
287 divided by 127 is 2 with a remainder of 33.
Write down 2 as next digit of the result. 
Result so far: 60812.0
If we take 254 away from 287, we end up with 33.
Take the next digit (9) from the dividend and append it to 33, then repeat: 339 / 127

Moving on to step 8:
127 can be fit into 339 2 times, resulting in a remainder of 85.
Write down 2 as next digit of the result. 
Result so far: 608122.0
Subtracting 254 from 339 leaves us with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Moving on to step 9:
If we divide 850 by 127, we get 6 and a remainder of 88.
The next digit of our result is 6. 
Result so far: 608122.6
The remainder is 88 after subtracting 762 from 850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Step 10:
127 can be fit into 880 6 times, resulting in a remainder of 118.
The number 6 becomes the next digit in our result. 
Result so far: 608122.66
Subtracting 762 from 880 leaves us with 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

The final outcome is 608122.66, with a leftover of 0.118.