406543 ÷ 6 
We're looking to find how many times 6 goes into 406543.

Moving on to step 1:
When dividing 4 by 6, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 6

Step 2:
When dividing 40 by 6, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 36 from 40, we get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 6

Moving on to step 3:
When dividing 46 by 6, we get 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 67.0
The remainder is 4 after subtracting 42 from 46.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 6

Moving on to step 4:
The number 6 fits into 45 7 times, leaving a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 677.0
If we take 42 away from 45, we end up with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 6

Advancing to step 5:
When dividing 34 by 6, we get 5 with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 6775.0
Deduct 30 from 34 and we're left with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 6

Advancing to step 6:
6 goes into 43 7 times with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 67757.0
The remainder is 1 after subtracting 42 from 43.
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 7:
If we divide 10 by 6, we get 1 and a remainder of 4.
The next digit of our result is 1. 
Result so far: 67757.1
Subtracting 6 from 10 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
6 goes into 40 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 67757.16
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
If we divide 40 by 6, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 67757.166
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 67757.166, and the remainder is 0.0004.