634897 ÷ 18 
We're looking to find how many times 18 goes into 634897.

Going ahead to step 1:
The number 18 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 18

Advancing to step 2:
When dividing 63 by 18, we get 3 with a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 54 from 63, we get 9.
Append the next digit (4) from the dividend to 9 and continue with: 94 / 18

Step 3:
18 goes into 94 5 times with a remainder of 4.
The next digit of our result is 5. 
Result so far: 35.0
Deduct 90 from 94 and we're left with 4.
Take the next digit (8) from the dividend and append it to 4, then repeat: 48 / 18

Moving on to step 4:
48 divided by 18 is 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 352.0
Deduct 36 from 48 and we're left with 12.
Bring next digit (9) of the dividend behind the 12 and repeat the process: 129 / 18

On to step 5:
When dividing 129 by 18, we get 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 3527.0
Subtracting 126 from 129 leaves us with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 18

On to step 6:
When dividing 37 by 18, we get 2 with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 35272.0
If we subtract 36 from 37, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
The number 18 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 35272.0
Subtracting 0 from 10 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.

Let's proceed to step 8:
If we divide 100 by 18, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 35272.05
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.

Advancing to step 9:
100 divided by 18 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 35272.055
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.

The quotient of the division is 35272.055, and the remainder is 0.001.