Let's divide 635838 by 66
We want to figure out the number of times 635838 can be divided by 66.

Advancing to step 1:
The number 66 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 66

Step 2:
66 can be fit into 63 0 times, resulting in a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Append the next digit (5) from the dividend to 63 and continue with: 635 / 66

Step 3:
The number 66 fits into 635 9 times, leaving a remainder of 41.
The next digit of our result is 9. 
Result so far: 9.0
If we take 594 away from 635, we end up with 41.
Append the next digit (8) from the dividend to 41 and continue with: 418 / 66

On to step 4:
The number 66 fits into 418 6 times, leaving a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 96.0
Deduct 396 from 418 and we're left with 22.
Append the next digit (3) from the dividend to 22 and continue with: 223 / 66

Step 5:
66 can be fit into 223 3 times, resulting in a remainder of 25.
The next digit of our result is 3. 
Result so far: 963.0
Deduct 198 from 223 and we're left with 25.
Take the next digit (8) from the dividend and append it to 25, then repeat: 258 / 66

Let's proceed to step 6:
If we divide 258 by 66, we get 3 and a remainder of 60.
Put 3 as the next digit of the answer. 
Result so far: 9633.0
The remainder is 60 after subtracting 198 from 258.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 7:
If we divide 600 by 66, we get 9 and a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 9633.9
Subtract 594 from 600 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
When dividing 60 by 66, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 9633.9
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 9:
66 can be fit into 600 9 times, resulting in a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 9633.909
Deduct 594 from 600 and we're left 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.

Step 10:
66 can be fit into 60 0 times, resulting in a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 9633.909
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 11:
66 goes into 600 9 times with a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 9633.90909
Deduct 594 from 600 and we're left 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.

Advancing to step 12:
66 can be fit into 60 0 times, resulting in a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 9633.90909
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 13:
66 can be fit into 600 9 times, resulting in a remainder of 6.
The next digit of our result is 9. 
Result so far: 9633.9090909
If we subtract 594 from 600, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 14:
60 divided by 66 is 0 with a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 9633.9090909
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

In conclusion, the division gives 9633.9090909 with a balance of 6e-08.