Let's divide 765587 by 3
We want to figure out the number of times 765587 can be divided by 3.

Step 1:
The number 3 fits into 7 2 times, leaving a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 6 from 7 to get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 3

Going ahead to step 2:
16 divided by 3 is 5 with a remainder of 1.
The next digit of our result is 5. 
Result so far: 25.0
If we subtract 15 from 16, we get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 3

Going ahead to step 3:
If we divide 15 by 3, we get 5 and a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 255.0
If we subtract 15 from 15, we get 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 3

On to step 4:
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: 2551.0
If we subtract 3 from 5, we get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 3

Moving on to step 5:
3 goes into 28 9 times with a remainder of 1.
The next digit of our result is 9. 
Result so far: 25519.0
Subtract 27 from 28 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 3

Going ahead to step 6:
17 divided by 3 is 5 with a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 255195.0
Subtract 15 from 17 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
The number 3 fits into 20 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 255195.6
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
20 divided by 3 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 255195.66
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 255195.66, and the remainder is 0.002.