Let's divide 645777 by 77
Our goal is to divide 645777 by 77.

Moving on to step 1:
The number 77 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 77

Going ahead to step 2:
77 goes into 64 0 times with a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 64 after subtracting 0 from 64.
Take the next digit (5) from the dividend and append it to 64, then repeat: 645 / 77

On to step 3:
77 goes into 645 8 times with a remainder of 29.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 616 from 645, we get 29.
Append the next digit (7) from the dividend to 29 and continue with: 297 / 77

Moving on to step 4:
If we divide 297 by 77, we get 3 and a remainder of 66.
Record the quotient 3 as the next digit in the result. 
Result so far: 83.0
The remainder is 66 after subtracting 231 from 297.
Take the next digit (7) from the dividend and append it to 66, then repeat: 667 / 77

On to step 5:
667 divided by 77 is 8 with a remainder of 51.
Put 8 as the next digit of the answer. 
Result so far: 838.0
Deduct 616 from 667 and we're left with 51.
Take the next digit (7) from the dividend and append it to 51, then repeat: 517 / 77

Going ahead to step 6:
77 can be fit into 517 6 times, resulting in a remainder of 55.
Use 6 as the next digit of our solution. 
Result so far: 8386.0
If we take 462 away from 517, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 7:
77 goes into 550 7 times with a remainder of 11.
The next digit of our result is 7. 
Result so far: 8386.7
If we take 539 away from 550, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 8:
The number 77 fits into 110 1 times, leaving a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 8386.71
If we take 77 away from 110, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 9:
When dividing 330 by 77, we get 4 with a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 8386.714
Deduct 308 from 330 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 10:
77 goes into 220 2 times with a remainder of 66.
Record the quotient 2 as the next digit in the result. 
Result so far: 8386.7142
If we take 154 away from 220, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 11:
If we divide 660 by 77, we get 8 and a remainder of 44.
Use 8 as the next digit of our solution. 
Result so far: 8386.71428
If we take 616 away from 660, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 12:
77 can be fit into 440 5 times, resulting in a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 8386.714285
Deduct 385 from 440 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 13:
77 goes into 550 7 times with a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 8386.7142857
If we take 539 away from 550, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 14:
77 goes into 110 1 times with a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 8386.71428571
Subtracting 77 from 110 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final result is 8386.71428571 with a remainder of 3.3e-08.