6529171 ÷ 636 
Our goal is to divide 6529171 by 636.

On to step 1:
If we divide 6 by 636, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 636

On to step 2:
636 goes into 65 0 times with a remainder of 65.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 65 after subtracting 0 from 65.
Bring next digit (2) of the dividend behind the 65 and repeat the process: 652 / 636

Moving on to step 3:
636 goes into 652 1 times with a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 636 from 652, we get 16.
Bring next digit (9) of the dividend behind the 16 and repeat the process: 169 / 636

Let's proceed to step 4:
169 divided by 636 is 0 with a remainder of 169.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 169, we end up with 169.
Bring next digit (1) of the dividend behind the 169 and repeat the process: 1691 / 636

Advancing to step 5:
636 goes into 1691 2 times with a remainder of 419.
Write down 2 as next digit of the result. 
Result so far: 102.0
Deduct 1272 from 1691 and we're left with 419.
Bring next digit (7) of the dividend behind the 419 and repeat the process: 4197 / 636

Moving on to step 6:
When dividing 4197 by 636, we get 6 with a remainder of 381.
Write down 6 as next digit of the result. 
Result so far: 1026.0
Deduct 3816 from 4197 and we're left with 381.
Take the next digit (1) from the dividend and append it to 381, then repeat: 3811 / 636

Advancing to step 7:
If we divide 3811 by 636, we get 5 and a remainder of 631.
Record the quotient 5 as the next digit in the result. 
Result so far: 10265.0
Subtract 3180 from 3811 to get 631.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6310, and continue the process.

Step 8:
636 goes into 6310 9 times with a remainder of 586.
Use 9 as the next digit of our solution. 
Result so far: 10265.9
Subtracting 5724 from 6310 leaves us with 586.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5860, and continue the process.

Step 9:
If we divide 5860 by 636, we get 9 and a remainder of 136.
The number 9 becomes the next digit in our result. 
Result so far: 10265.99
The remainder is 136 after subtracting 5724 from 5860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

After the division, we end up with 10265.99 and a remainder of 0.136.