We're dividing 435341 by 6 
We're looking to find how many times 6 goes into 435341.

Moving on to step 1:
6 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 6

Step 2:
When dividing 43 by 6, we get 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 42 from 43, we get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 6

Going ahead to step 3:
15 divided by 6 is 2 with a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 72.0
Subtract 12 from 15 to get 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 6

Step 4:
6 can be fit into 33 5 times, resulting in a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 725.0
If we take 30 away from 33, we end up with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 6

Step 5:
When dividing 34 by 6, we get 5 with a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 7255.0
The remainder is 4 after subtracting 30 from 34.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 6

On to step 6:
6 goes into 41 6 times with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 72556.0
If we subtract 36 from 41, 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.

Advancing to step 7:
6 goes into 50 8 times with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 72556.8
If we subtract 48 from 50, 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.

On to step 8:
If we divide 20 by 6, we get 3 and a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 72556.83
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.

Going ahead 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: 72556.833
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 result is 72556.833 with a remainder of 0.0002.