107767 divided by 77 
We want to figure out the number of times 107767 can be divided by 77.

On to step 1:
If we divide 1 by 77, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 77

On to step 2:
When dividing 10 by 77, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 77

Let's proceed to step 3:
107 divided by 77 is 1 with a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 77 from 107 leaves us with 30.
Take the next digit (7) from the dividend and append it to 30, then repeat: 307 / 77

Step 4:
307 divided by 77 is 3 with a remainder of 76.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Deduct 231 from 307 and we're left with 76.
Append the next digit (6) from the dividend to 76 and continue with: 766 / 77

Let's proceed to step 5:
The number 77 fits into 766 9 times, leaving a remainder of 73.
The number 9 becomes the next digit in our result. 
Result so far: 139.0
Subtract 693 from 766 to get 73.
Include the next digit (7) from the dividend after 73, then repeat: 737 / 77

Let's proceed to step 6:
737 divided by 77 is 9 with a remainder of 44.
Use 9 as the next digit of our solution. 
Result so far: 1399.0
If we subtract 693 from 737, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 7:
When dividing 440 by 77, we get 5 with a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 1399.5
Subtracting 385 from 440 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 8:
When dividing 550 by 77, we get 7 with a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 1399.57
If we take 539 away from 550, we end up 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.

Moving on to step 9:
If we divide 110 by 77, we get 1 and a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 1399.571
If we subtract 77 from 110, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 10:
77 goes into 330 4 times with a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 1399.5714
If we take 308 away from 330, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 11:
77 can be fit into 220 2 times, resulting in a remainder of 66.
Record the quotient 2 as the next digit in the result. 
Result so far: 1399.57142
Subtract 154 from 220 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 12:
660 divided by 77 is 8 with a remainder of 44.
Record the quotient 8 as the next digit in the result. 
Result so far: 1399.571428
Subtracting 616 from 660 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 13:
If we divide 440 by 77, we get 5 and a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 1399.5714285
The remainder is 55 after subtracting 385 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 14:
550 divided by 77 is 7 with a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 1399.57142857
If we take 539 away from 550, we end up 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.

The final outcome is 1399.57142857, with a leftover of 1.1e-08.