We're dividing 635543 by 77 
Let's see how many times 77 fits into 635543.

Step 1:
If we divide 6 by 77, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 77

Let's proceed to step 2:
If we divide 63 by 77, we get 0 and a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 63 and we're left with 63.
Append the next digit (5) from the dividend to 63 and continue with: 635 / 77

Let's proceed to step 3:
77 can be fit into 635 8 times, resulting in a remainder of 19.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 616 from 635 and we're left with 19.
Append the next digit (5) from the dividend to 19 and continue with: 195 / 77

Let's proceed to step 4:
If we divide 195 by 77, we get 2 and a remainder of 41.
Put 2 as the next digit of the answer. 
Result so far: 82.0
Subtracting 154 from 195 leaves us with 41.
Take the next digit (4) from the dividend and append it to 41, then repeat: 414 / 77

Let's proceed to step 5:
77 can be fit into 414 5 times, resulting in a remainder of 29.
The number 5 becomes the next digit in our result. 
Result so far: 825.0
Subtract 385 from 414 to get 29.
Fetch the next digit (3) from the dividend, attach it to 29 and continue: 293 / 77

On to step 6:
293 divided by 77 is 3 with a remainder of 62.
Use 3 as the next digit of our solution. 
Result so far: 8253.0
Deduct 231 from 293 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 7:
The number 77 fits into 620 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 8253.8
Subtract 616 from 620 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
If we divide 40 by 77, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 8253.8
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
If we divide 400 by 77, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 8253.805
If we subtract 385 from 400, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 10:
77 can be fit into 150 1 times, resulting in a remainder of 73.
The next digit of our result is 1. 
Result so far: 8253.8051
If we take 77 away from 150, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Going ahead to step 11:
77 goes into 730 9 times with a remainder of 37.
The number 9 becomes the next digit in our result. 
Result so far: 8253.80519
Subtract 693 from 730 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 12:
If we divide 370 by 77, we get 4 and a remainder of 62.
The next digit of our result is 4. 
Result so far: 8253.805194
Subtract 308 from 370 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 13:
620 divided by 77 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 8253.8051948
If we subtract 616 from 620, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
If we divide 40 by 77, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 8253.8051948
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 8253.8051948 and a remainder of 4e-08.