877743 ÷ 77 
We're looking to find how many times 77 goes into 877743.

Step 1:
The number 77 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 77

Advancing to step 2:
The number 77 fits into 87 1 times, leaving a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 77 from 87 and we're left with 10.
Take the next digit (7) from the dividend and append it to 10, then repeat: 107 / 77

Step 3:
The number 77 fits into 107 1 times, leaving a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 77 away from 107, we end up with 30.
Grab the next digit (7) from the dividend, add it to 30, then carry on: 307 / 77

Going ahead to step 4:
307 divided by 77 is 3 with a remainder of 76.
Use 3 as the next digit of our solution. 
Result so far: 113.0
If we subtract 231 from 307, we get 76.
Take the next digit (4) from the dividend and append it to 76, then repeat: 764 / 77

On to step 5:
If we divide 764 by 77, we get 9 and a remainder of 71.
Use 9 as the next digit of our solution. 
Result so far: 1139.0
Subtract 693 from 764 to get 71.
Append the next digit (3) from the dividend to 71 and continue with: 713 / 77

Let's proceed to step 6:
When dividing 713 by 77, we get 9 with a remainder of 20.
Write down 9 as next digit of the result. 
Result so far: 11399.0
Deduct 693 from 713 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 7:
77 can be fit into 200 2 times, resulting in a remainder of 46.
The next digit of our result is 2. 
Result so far: 11399.2
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.

Let's proceed to step 8:
When dividing 460 by 77, we get 5 with a remainder of 75.
The next digit of our result is 5. 
Result so far: 11399.25
Subtract 385 from 460 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 9:
The number 77 fits into 750 9 times, leaving a remainder of 57.
Put 9 as the next digit of the answer. 
Result so far: 11399.259
If we subtract 693 from 750, we get 57.
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 10:
When dividing 570 by 77, we get 7 with a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 11399.2597
Deduct 539 from 570 and we're left 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.

Step 11:
The number 77 fits into 310 4 times, leaving a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 11399.25974
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 12:
If we divide 20 by 77, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 11399.25974
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.

On to step 13:
The number 77 fits into 200 2 times, leaving a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 11399.2597402
If we take 154 away from 200, we end up 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 14:
77 can be fit into 460 5 times, resulting in a remainder of 75.
The next digit of our result is 5. 
Result so far: 11399.25974025
If we take 385 away from 460, we end up 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.

The final result is 11399.25974025 with a remainder of 7.5e-08.