636679 ÷ 18 
We're looking to find how many times 18 goes into 636679.

Let's proceed to step 1:
When dividing 6 by 18, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 18

On to step 2:
18 goes into 63 3 times with a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 54 from 63 and we're left with 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 18

Advancing to step 3:
The number 18 fits into 96 5 times, leaving a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
Deduct 90 from 96 and we're left with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 18

On to step 4:
The number 18 fits into 66 3 times, leaving a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 353.0
Subtracting 54 from 66 leaves us with 12.
Grab the next digit (7) from the dividend, add it to 12, then carry on: 127 / 18

Moving on to step 5:
18 can be fit into 127 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 3537.0
The remainder is 1 after subtracting 126 from 127.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 18

On to step 6:
If we divide 19 by 18, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 35371.0
If we take 18 away from 19, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
18 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 35371.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
100 divided by 18 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 35371.05
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
100 divided by 18 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 35371.055
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 35371.055 with a balance of 0.001.