353417 divided by 6 
We want to divide 353417 by 6.

Let's proceed to step 1:
The number 6 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 6

Let's proceed to step 2:
6 can be fit into 35 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 30 from 35, we get 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 6

On to step 3:
If we divide 53 by 6, we get 8 and a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 58.0
If we take 48 away from 53, we end up with 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 6

Advancing to step 4:
The number 6 fits into 54 9 times, leaving a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 589.0
If we subtract 54 from 54, we get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 6

Moving on to step 5:
6 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 5890.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 6

Moving on to step 6:
The number 6 fits into 17 2 times, leaving a remainder of 5.
The next digit of our result is 2. 
Result so far: 58902.0
If we take 12 away from 17, we end up with 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 can be fit into 50 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 58902.8
Deduct 48 from 50 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.

Let's proceed to step 8:
20 divided by 6 is 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 58902.83
If we subtract 18 from 20, 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.

Let's proceed to step 9:
If we divide 20 by 6, we get 3 and a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 58902.833
If we take 18 away from 20, we end up 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 58902.833, and the remainder is 0.0002.