We're dividing 350354 by 6 
We want to divide 350354 by 6.

Moving on to step 1:
If we divide 3 by 6, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 6

Step 2:
6 can be fit into 35 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 30 from 35 to get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 6

Step 3:
When dividing 50 by 6, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 58.0
Deduct 48 from 50 and we're left with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 6

Step 4:
6 goes into 23 3 times with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 583.0
If we subtract 18 from 23, we get 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 6

Moving on to step 5:
When dividing 55 by 6, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 5839.0
If we subtract 54 from 55, we get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 6

Going ahead to step 6:
If we divide 14 by 6, we get 2 and a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 58392.0
If we subtract 12 from 14, 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.

Advancing to step 7:
When dividing 20 by 6, we get 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 58392.3
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.

Step 8:
If we divide 20 by 6, we get 3 and a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 58392.33
Subtracting 18 from 20 leaves us 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.

The quotient of the division is 58392.33, and the remainder is 0.002.