636547 ÷ 79 
Our goal is to divide 636547 by 79.

Step 1:
If we divide 6 by 79, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 79

Advancing to step 2:
When dividing 63 by 79, we get 0 with a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 63, we end up with 63.
Append the next digit (6) from the dividend to 63 and continue with: 636 / 79

Going ahead to step 3:
When dividing 636 by 79, we get 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 632 from 636, we get 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 79

Moving on to step 4:
When dividing 45 by 79, we get 0 with a remainder of 45.
Use 0 as the next digit of our solution. 
Result so far: 80.0
The remainder is 45 after subtracting 0 from 45.
Append the next digit (4) from the dividend to 45 and continue with: 454 / 79

Moving on to step 5:
454 divided by 79 is 5 with a remainder of 59.
Use 5 as the next digit of our solution. 
Result so far: 805.0
Subtract 395 from 454 to get 59.
Fetch the next digit (7) from the dividend, attach it to 59 and continue: 597 / 79

Advancing to step 6:
When dividing 597 by 79, we get 7 with a remainder of 44.
The next digit of our result is 7. 
Result so far: 8057.0
The remainder is 44 after subtracting 553 from 597.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 7:
79 goes into 440 5 times with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 8057.5
The remainder is 45 after subtracting 395 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 8:
79 goes into 450 5 times with a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 8057.55
Deduct 395 from 450 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.

Our division results in 8057.55 with a remaining 0.055.