135708 divided by 77 
We want to figure out the number of times 135708 can be divided by 77.

Step 1:
The number 77 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 77

Let's proceed to step 2:
If we divide 13 by 77, we get 0 and a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 77

Going ahead 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
If we subtract 77 from 135, we get 58.
Grab the next digit (7) from the dividend, add it to 58, then carry on: 587 / 77

Moving on to step 4:
When dividing 587 by 77, we get 7 with a remainder of 48.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Subtract 539 from 587 to get 48.
Bring next digit (0) of the dividend behind the 48 and repeat the process: 480 / 77

Advancing to step 5:
77 can be fit into 480 6 times, resulting in a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 176.0
Deduct 462 from 480 and we're left with 18.
Bring next digit (8) of the dividend behind the 18 and repeat the process: 188 / 77

On to step 6:
77 goes into 188 2 times with a remainder of 34.
The next digit of our result is 2. 
Result so far: 1762.0
Deduct 154 from 188 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
When dividing 340 by 77, we get 4 with a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 1762.4
Subtract 308 from 340 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
77 goes into 320 4 times with a remainder of 12.
The next digit of our result is 4. 
Result so far: 1762.44
If we take 308 away from 320, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 1762.44 with a remaining 0.012.