We're dividing 75775 by 77 
We want to figure out the number of times 75775 can be divided by 77.

Moving on to step 1:
If we divide 7 by 77, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 77

Going ahead to step 2:
77 can be fit into 75 0 times, resulting in a remainder of 75.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 75 to get 75.
Include the next digit (7) from the dividend after 75, then repeat: 757 / 77

Moving on to step 3:
77 can be fit into 757 9 times, resulting in a remainder of 64.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we subtract 693 from 757, we get 64.
Include the next digit (7) from the dividend after 64, then repeat: 647 / 77

Moving on to step 4:
When dividing 647 by 77, we get 8 with a remainder of 31.
Put 8 as the next digit of the answer. 
Result so far: 98.0
Deduct 616 from 647 and we're left with 31.
Append the next digit (5) from the dividend to 31 and continue with: 315 / 77

Moving on to step 5:
77 goes into 315 4 times with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 984.0
Subtracting 308 from 315 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 6:
77 can be fit into 70 0 times, resulting in a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 984.0
If we subtract 0 from 70, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 7:
700 divided by 77 is 9 with a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 984.09
Deduct 693 from 700 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 8:
If we divide 70 by 77, we get 0 and a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 984.09
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 9:
If we divide 700 by 77, we get 9 and a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 984.0909
If we take 693 away from 700, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 10:
If we divide 70 by 77, we get 0 and a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 984.0909
If we subtract 0 from 70, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 11:
The number 77 fits into 700 9 times, leaving a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 984.090909
Subtracting 693 from 700 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 12:
77 can be fit into 70 0 times, resulting in a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 984.090909
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 13:
When dividing 700 by 77, we get 9 with a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 984.09090909
If we take 693 away from 700, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The quotient of the division is 984.09090909, and the remainder is 7e-09.