95386 divided by 3 
We want to figure out the number of times 95386 can be divided by 3.

Advancing to step 1:
The number 3 fits into 9 3 times, leaving a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 9 away from 9, we end up with 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 3

Let's proceed to step 2:
The number 3 fits into 5 1 times, leaving a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
If we subtract 3 from 5, we get 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 3

Let's proceed to step 3:
23 divided by 3 is 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 317.0
Deduct 21 from 23 and we're left with 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 3

Let's proceed to step 4:
28 divided by 3 is 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 3179.0
If we take 27 away from 28, we end up with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 3

Step 5:
The number 3 fits into 16 5 times, leaving a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 31795.0
Deduct 15 from 16 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 6:
If we divide 10 by 3, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 31795.3
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
10 divided by 3 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 31795.33
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 31795.33, and the remainder is 0.001.