Let's divide 635877 by 3
We want to figure out the number of times 635877 can be divided by 3.

Step 1:
When dividing 6 by 3, we get 2 with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 0 after subtracting 6 from 6.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 3

Advancing to step 2:
3 can be fit into 3 1 times, resulting in a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
If we take 3 away from 3, we end up with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

On to step 3:
When dividing 5 by 3, we get 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 211.0
Deduct 3 from 5 and we're left with 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 3

Advancing to step 4:
When dividing 28 by 3, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 2119.0
Subtract 27 from 28 to get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 3

Step 5:
3 can be fit into 17 5 times, resulting in a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 21195.0
If we take 15 away from 17, we end up with 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 3

Step 6:
The number 3 fits into 27 9 times, leaving a remainder of 0.
The next digit of our result is 9. 
Result so far: 211959.0
The remainder is 0 after subtracting 27 from 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
0 divided by 3 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 211959.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
3 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 211959.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 211959.0 and a remainder of 0.0.