We're dividing 127364 by 77 
Let's see how many times 77 fits into 127364.

Going ahead to step 1:
If we divide 1 by 77, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 77

Let's proceed to step 2:
12 divided by 77 is 0 with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 77

Advancing to step 3:
77 goes into 127 1 times with a remainder of 50.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 77 from 127 and we're left with 50.
Append the next digit (3) from the dividend to 50 and continue with: 503 / 77

Moving on to step 4:
If we divide 503 by 77, we get 6 and a remainder of 41.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 462 away from 503, we end up with 41.
Append the next digit (6) from the dividend to 41 and continue with: 416 / 77

Moving on to step 5:
416 divided by 77 is 5 with a remainder of 31.
Put 5 as the next digit of the answer. 
Result so far: 165.0
Subtracting 385 from 416 leaves us with 31.
Take the next digit (4) from the dividend and append it to 31, then repeat: 314 / 77

Step 6:
314 divided by 77 is 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 1654.0
Deduct 308 from 314 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
77 goes into 60 0 times with a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 1654.0
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 8:
600 divided by 77 is 7 with a remainder of 61.
Record the quotient 7 as the next digit in the result. 
Result so far: 1654.07
Subtracting 539 from 600 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 9:
When dividing 610 by 77, we get 7 with a remainder of 71.
Put 7 as the next digit of the answer. 
Result so far: 1654.077
The remainder is 71 after subtracting 539 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

In conclusion, the division gives 1654.077 with a balance of 0.0071.