636960 ÷ 34 
We want to figure out the number of times 636960 can be divided by 34.

Advancing to step 1:
34 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
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 / 34

Step 2:
The number 34 fits into 63 1 times, leaving a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 34 away from 63, we end up with 29.
Grab the next digit (6) from the dividend, add it to 29, then carry on: 296 / 34

Going ahead to step 3:
When dividing 296 by 34, we get 8 with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 18.0
Subtracting 272 from 296 leaves us with 24.
Append the next digit (9) from the dividend to 24 and continue with: 249 / 34

Going ahead to step 4:
249 divided by 34 is 7 with a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 187.0
Subtract 238 from 249 to get 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 34

Step 5:
If we divide 116 by 34, we get 3 and a remainder of 14.
The next digit of our result is 3. 
Result so far: 1873.0
Deduct 102 from 116 and we're left with 14.
Take the next digit (0) from the dividend and append it to 14, then repeat: 140 / 34

Moving on to step 6:
34 can be fit into 140 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 18734.0
Subtract 136 from 140 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.

On to step 7:
34 can be fit into 40 1 times, resulting in a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 18734.1
Subtracting 34 from 40 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
If we divide 60 by 34, we get 1 and a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 18734.11
Subtracting 34 from 60 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Our division results in 18734.11 with a remaining 0.026.