9605 ÷ 77 
Our goal is to divide 9605 by 77.

Let's proceed to step 1:
77 goes into 9 0 times with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 77

Going ahead to step 2:
77 goes into 96 1 times with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 77 from 96 leaves us with 19.
Fetch the next digit (0) from the dividend, attach it to 19 and continue: 190 / 77

Advancing to step 3:
If we divide 190 by 77, we get 2 and a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we subtract 154 from 190, we get 36.
Append the next digit (5) from the dividend to 36 and continue with: 365 / 77

On to step 4:
77 goes into 365 4 times with a remainder of 57.
Put 4 as the next digit of the answer. 
Result so far: 124.0
The remainder is 57 after subtracting 308 from 365.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 5:
The number 77 fits into 570 7 times, leaving a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 124.7
Subtract 539 from 570 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 6:
When dividing 310 by 77, we get 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 124.74
Deduct 308 from 310 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
77 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 124.74
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
When dividing 200 by 77, we get 2 with a remainder of 46.
Put 2 as the next digit of the answer. 
Result so far: 124.7402
Deduct 154 from 200 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 9:
77 can be fit into 460 5 times, resulting in a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 124.74025
Deduct 385 from 460 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 10:
77 goes into 750 9 times with a remainder of 57.
Write down 9 as next digit of the result. 
Result so far: 124.740259
The remainder is 57 after subtracting 693 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 11:
When dividing 570 by 77, we get 7 with a remainder of 31.
Put 7 as the next digit of the answer. 
Result so far: 124.7402597
Subtracting 539 from 570 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 12:
If we divide 310 by 77, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 124.74025974
If we subtract 308 from 310, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 124.74025974 with a remaining 2e-09.