77838677 ÷ 560 
We want to figure out the number of times 77838677 can be divided by 560.

Going ahead to step 1:
7 divided by 560 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 560

Advancing to step 2:
77 divided by 560 is 0 with a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 77, we end up with 77.
Include the next digit (8) from the dividend after 77, then repeat: 778 / 560

On to step 3:
778 divided by 560 is 1 with a remainder of 218.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 218 after subtracting 560 from 778.
Include the next digit (3) from the dividend after 218, then repeat: 2183 / 560

Advancing to step 4:
560 can be fit into 2183 3 times, resulting in a remainder of 503.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
The remainder is 503 after subtracting 1680 from 2183.
Take the next digit (8) from the dividend and append it to 503, then repeat: 5038 / 560

Let's proceed to step 5:
5038 divided by 560 is 8 with a remainder of 558.
The number 8 becomes the next digit in our result. 
Result so far: 138.0
If we subtract 4480 from 5038, we get 558.
Take the next digit (6) from the dividend and append it to 558, then repeat: 5586 / 560

Step 6:
When dividing 5586 by 560, we get 9 with a remainder of 546.
Write down 9 as next digit of the result. 
Result so far: 1389.0
The remainder is 546 after subtracting 5040 from 5586.
Include the next digit (7) from the dividend after 546, then repeat: 5467 / 560

Advancing to step 7:
The number 560 fits into 5467 9 times, leaving a remainder of 427.
The number 9 becomes the next digit in our result. 
Result so far: 13899.0
The remainder is 427 after subtracting 5040 from 5467.
Grab the next digit (7) from the dividend, add it to 427, then carry on: 4277 / 560

Going ahead to step 8:
The number 560 fits into 4277 7 times, leaving a remainder of 357.
Use 7 as the next digit of our solution. 
Result so far: 138997.0
Subtract 3920 from 4277 to get 357.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3570, and continue the process.

On to step 9:
If we divide 3570 by 560, we get 6 and a remainder of 210.
Put 6 as the next digit of the answer. 
Result so far: 138997.6
If we take 3360 away from 3570, we end up with 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2100, and continue the process.

Advancing to step 10:
560 goes into 2100 3 times with a remainder of 420.
Put 3 as the next digit of the answer. 
Result so far: 138997.63
Subtracting 1680 from 2100 leaves us with 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Going ahead to step 11:
4200 divided by 560 is 7 with a remainder of 280.
Use 7 as the next digit of our solution. 
Result so far: 138997.637
The remainder is 280 after subtracting 3920 from 4200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Advancing to step 12:
If we divide 2800 by 560, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 138997.6375
If we take 2800 away from 2800, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 13:
560 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 138997.6375
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 14:
The number 560 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 138997.6375
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 138997.6375 with a remainder of 0.0.