Let's divide 436589 by 6
Our goal is to divide 436589 by 6.

Advancing to step 1:
The number 6 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 6

Let's proceed to step 2:
When dividing 43 by 6, we get 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 42 from 43 to get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 6

Step 3:
The number 6 fits into 16 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 72.0
Subtract 12 from 16 to get 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 6

Step 4:
45 divided by 6 is 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 727.0
If we take 42 away from 45, we end up with 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 6

Advancing to step 5:
38 divided by 6 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 7276.0
If we subtract 36 from 38, we get 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 6

Let's proceed to step 6:
29 divided by 6 is 4 with a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 72764.0
If we subtract 24 from 29, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
50 divided by 6 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 72764.8
Subtract 48 from 50 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.

Going ahead to step 8:
6 can be fit into 20 3 times, resulting in a remainder of 2.
The next digit of our result is 3. 
Result so far: 72764.83
Deduct 18 from 20 and we're left with 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 9:
20 divided by 6 is 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 72764.833
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 72764.833, with a leftover of 0.0002.