63645 ÷ 77 
We want to figure out the number of times 63645 can be divided by 77.

Moving on to step 1:
77 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 77

Advancing to step 2:
77 can be fit into 63 0 times, resulting in a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Grab the next digit (6) from the dividend, add it to 63, then carry on: 636 / 77

Moving on to step 3:
When dividing 636 by 77, we get 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 616 from 636, we get 20.
Include the next digit (4) from the dividend after 20, then repeat: 204 / 77

Let's proceed to step 4:
When dividing 204 by 77, we get 2 with a remainder of 50.
The next digit of our result is 2. 
Result so far: 82.0
If we take 154 away from 204, we end up with 50.
Take the next digit (5) from the dividend and append it to 50, then repeat: 505 / 77

Advancing to step 5:
77 goes into 505 6 times with a remainder of 43.
Put 6 as the next digit of the answer. 
Result so far: 826.0
Subtract 462 from 505 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 6:
430 divided by 77 is 5 with a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 826.5
If we take 385 away from 430, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 7:
450 divided by 77 is 5 with a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 826.55
Subtracting 385 from 450 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The final result is 826.55 with a remainder of 0.065.