We're dividing 135505 by 77 
We're looking to find how many times 77 goes into 135505.

Let's proceed to step 1:
77 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 77

Going ahead to step 2:
77 can be fit into 13 0 times, resulting in a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Grab the next digit (5) from the dividend, add it to 13, then carry on: 135 / 77

Moving on to step 3:
If we divide 135 by 77, we get 1 and a remainder of 58.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 58 after subtracting 77 from 135.
Grab the next digit (5) from the dividend, add it to 58, then carry on: 585 / 77

On to step 4:
The number 77 fits into 585 7 times, leaving a remainder of 46.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Subtract 539 from 585 to get 46.
Fetch the next digit (0) from the dividend, attach it to 46 and continue: 460 / 77

On to step 5:
If we divide 460 by 77, we get 5 and a remainder of 75.
The next digit of our result is 5. 
Result so far: 175.0
If we subtract 385 from 460, we get 75.
Bring next digit (5) of the dividend behind the 75 and repeat the process: 755 / 77

On to step 6:
755 divided by 77 is 9 with a remainder of 62.
Put 9 as the next digit of the answer. 
Result so far: 1759.0
If we take 693 away from 755, we end up 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.

Going ahead to step 7:
77 can be fit into 620 8 times, resulting in a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 1759.8
Deduct 616 from 620 and we're left 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.

Let's proceed to step 8:
If we divide 40 by 77, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 1759.8
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 9:
77 goes into 400 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 1759.805
Deduct 385 from 400 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 10:
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: 1759.8051
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.

Moving on to step 11:
If we divide 730 by 77, we get 9 and a remainder of 37.
Record the quotient 9 as the next digit in the result. 
Result so far: 1759.80519
Subtract 693 from 730 to 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 12:
The number 77 fits into 370 4 times, leaving a remainder of 62.
The number 4 becomes the next digit in our result. 
Result so far: 1759.805194
Subtract 308 from 370 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 13:
When dividing 620 by 77, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 1759.8051948
If we subtract 616 from 620, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 14:
The number 77 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 1759.8051948
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 1759.8051948, and the remainder is 4e-08.