641589 ÷ 6 
We're looking to find how many times 6 goes into 641589.

Going ahead to step 1:
6 divided by 6 is 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 6 from 6 leaves us with 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 6

On to step 2:
4 divided by 6 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 6

On to step 3:
If we divide 41 by 6, we get 6 and a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 106.0
If we take 36 away from 41, we end up with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 6

Advancing to step 4:
When dividing 55 by 6, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 1069.0
Deduct 54 from 55 and we're left with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 6

Step 5:
18 divided by 6 is 3 with a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 10693.0
Deduct 18 from 18 and we're left with 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 6

Let's proceed to step 6:
The number 6 fits into 9 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 106931.0
Deduct 6 from 9 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
If we divide 30 by 6, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 106931.5
If we take 30 away from 30, 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.

Step 8:
6 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 106931.5
The remainder is 0 after subtracting 0 from 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 9:
6 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 106931.5
Subtract 0 from 0 to 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.

Our division results in 106931.5 with a remaining 0.0.