We divide 153775 by 77
We want to figure out the number of times 153775 can be divided by 77.

Advancing to step 1:
1 divided by 77 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 77

On to step 2:
77 can be fit into 15 0 times, resulting in a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 77

Going ahead to step 3:
153 divided by 77 is 1 with a remainder of 76.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 77 from 153, we get 76.
Include the next digit (7) from the dividend after 76, then repeat: 767 / 77

Going ahead to step 4:
When dividing 767 by 77, we get 9 with a remainder of 74.
Write down 9 as next digit of the result. 
Result so far: 19.0
If we take 693 away from 767, we end up with 74.
Fetch the next digit (7) from the dividend, attach it to 74 and continue: 747 / 77

Moving on to step 5:
77 goes into 747 9 times with a remainder of 54.
Use 9 as the next digit of our solution. 
Result so far: 199.0
The remainder is 54 after subtracting 693 from 747.
Grab the next digit (5) from the dividend, add it to 54, then carry on: 545 / 77

Moving on to step 6:
If we divide 545 by 77, we get 7 and a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 1997.0
Subtract 539 from 545 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
77 goes into 60 0 times with a remainder of 60.
The next digit of our result is 0. 
Result so far: 1997.0
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 8:
77 can be fit into 600 7 times, resulting in a remainder of 61.
The next digit of our result is 7. 
Result so far: 1997.07
Subtract 539 from 600 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 9:
The number 77 fits into 610 7 times, leaving a remainder of 71.
Record the quotient 7 as the next digit in the result. 
Result so far: 1997.077
Subtract 539 from 610 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

After the division, we end up with 1997.077 and a remainder of 0.0071.