635818 ÷ 6 
We want to figure out the number of times 635818 can be divided by 6.

Step 1:
6 goes into 6 1 times with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 0 after subtracting 6 from 6.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 6

Let's proceed to step 2:
6 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 6

Advancing to step 3:
6 can be fit into 35 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 105.0
Subtracting 30 from 35 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 6

Step 4:
6 can be fit into 58 9 times, resulting in a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 1059.0
The remainder is 4 after subtracting 54 from 58.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 6

Step 5:
6 can be fit into 41 6 times, resulting in a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 10596.0
Deduct 36 from 41 and we're left with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 6

Step 6:
The number 6 fits into 58 9 times, leaving a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 105969.0
If we take 54 away from 58, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
When dividing 40 by 6, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 105969.6
Subtracting 36 from 40 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
When dividing 40 by 6, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 105969.66
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 105969.66, and the remainder is 0.004.