We look at the division of 107565 by 77 
Our goal is to divide 107565 by 77.

Let's proceed to step 1:
The number 77 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 77

Going ahead to step 2:
77 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 77

On to step 3:
107 divided by 77 is 1 with a remainder of 30.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 77 from 107 leaves us with 30.
Bring next digit (5) of the dividend behind the 30 and repeat the process: 305 / 77

Advancing to step 4:
77 goes into 305 3 times with a remainder of 74.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtracting 231 from 305 leaves us with 74.
Append the next digit (6) from the dividend to 74 and continue with: 746 / 77

Let's proceed to step 5:
746 divided by 77 is 9 with a remainder of 53.
Put 9 as the next digit of the answer. 
Result so far: 139.0
Subtract 693 from 746 to get 53.
Take the next digit (5) from the dividend and append it to 53, then repeat: 535 / 77

On to step 6:
The number 77 fits into 535 6 times, leaving a remainder of 73.
Put 6 as the next digit of the answer. 
Result so far: 1396.0
Subtract 462 from 535 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Moving on to step 7:
If we divide 730 by 77, we get 9 and a remainder of 37.
Put 9 as the next digit of the answer. 
Result so far: 1396.9
Subtracting 693 from 730 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 8:
77 can be fit into 370 4 times, resulting in a remainder of 62.
The number 4 becomes the next digit in our result. 
Result so far: 1396.94
Deduct 308 from 370 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 9:
620 divided by 77 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 1396.948
Subtracting 616 from 620 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
When dividing 40 by 77, we get 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 1396.948
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
77 goes into 400 5 times with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 1396.94805
If we subtract 385 from 400, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 12:
150 divided by 77 is 1 with a remainder of 73.
Record the quotient 1 as the next digit in the result. 
Result so far: 1396.948051
If we take 77 away from 150, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

On to step 13:
If we divide 730 by 77, we get 9 and a remainder of 37.
Write down 9 as next digit of the result. 
Result so far: 1396.9480519
If we subtract 693 from 730, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 14:
The number 77 fits into 370 4 times, leaving a remainder of 62.
Write down 4 as next digit of the result. 
Result so far: 1396.94805194
Subtracting 308 from 370 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

In conclusion, the division gives 1396.94805194 with a balance of 6.2e-08.