95634636 ÷ 3 
We want to figure out the number of times 95634636 can be divided by 3.

Going ahead to step 1:
3 goes into 9 3 times with a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 9 from 9, we get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Moving on to step 2:
When dividing 5 by 3, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 31.0
Subtracting 3 from 5 leaves us with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 3

On to step 3:
3 goes into 26 8 times with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 318.0
Deduct 24 from 26 and we're left with 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 3

On to step 4:
The number 3 fits into 23 7 times, leaving a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 3187.0
The remainder is 2 after subtracting 21 from 23.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 3

Moving on to step 5:
If we divide 24 by 3, we get 8 and a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 31878.0
Subtract 24 from 24 to get 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 3

Step 6:
If we divide 6 by 3, we get 2 and a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 318782.0
If we take 6 away from 6, we end up with 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 3

Advancing to step 7:
3 divided by 3 is 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 3187821.0
Subtracting 3 from 3 leaves us with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 3

Moving on to step 8:
3 can be fit into 6 2 times, resulting in a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 31878212.0
If we take 6 away from 6, we end up 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.

On to step 9:
The number 3 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 31878212.0
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.

Advancing to step 10:
When dividing 0 by 3, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 31878212.0
Deduct 0 from 0 and we're left 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 31878212.0 and a remainder of 0.0.