514332 ÷ 6 
We want to figure out the number of times 514332 can be divided by 6.

Step 1:
6 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 6

On to step 2:
When dividing 51 by 6, we get 8 with a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 48 away from 51, we end up with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 6

On to step 3:
If we divide 34 by 6, we get 5 and a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 85.0
The remainder is 4 after subtracting 30 from 34.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 6

Going ahead to step 4:
6 can be fit into 43 7 times, resulting in a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 857.0
Subtracting 42 from 43 leaves us with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 6

Step 5:
6 goes into 13 2 times with a remainder of 1.
The next digit of our result is 2. 
Result so far: 8572.0
The remainder is 1 after subtracting 12 from 13.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 6

Step 6:
12 divided by 6 is 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 85722.0
Deduct 12 from 12 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
The number 6 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 85722.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
0 divided by 6 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 85722.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 85722.0, with a leftover of 0.0.