443677 ÷ 6 
Our goal is to divide 443677 by 6.

Step 1:
6 goes into 4 0 times 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.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 6

Let's proceed to step 2:
6 goes into 44 7 times with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 2 after subtracting 42 from 44.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 6

Moving on to step 3:
When dividing 23 by 6, we get 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 73.0
Subtract 18 from 23 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 6

Going ahead to step 4:
When dividing 56 by 6, we get 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 739.0
Subtracting 54 from 56 leaves us with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 6

Going ahead to step 5:
6 goes into 27 4 times with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 7394.0
If we subtract 24 from 27, we get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 6

On to step 6:
If we divide 37 by 6, we get 6 and a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 73946.0
Subtract 36 from 37 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed 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: 73946.1
If we take 6 away from 10, we end up 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.

Let's proceed to step 8:
6 goes into 40 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 73946.16
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.

Moving on to step 9:
When dividing 40 by 6, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 73946.166
Subtract 36 from 40 to 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 final outcome is 73946.166, with a leftover of 0.0004.