456682 ÷ 30 
We want to figure out the number of times 456682 can be divided by 30.

Step 1:
30 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 30

Going ahead to step 2:
30 goes into 45 1 times with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 30 from 45 leaves us with 15.
Bring next digit (6) of the dividend behind the 15 and repeat the process: 156 / 30

Step 3:
The number 30 fits into 156 5 times, leaving a remainder of 6.
The next digit of our result is 5. 
Result so far: 15.0
Deduct 150 from 156 and we're left with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 30

Moving on to step 4:
30 goes into 66 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 152.0
Subtracting 60 from 66 leaves us with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 30

Advancing to step 5:
The number 30 fits into 68 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 1522.0
If we take 60 away from 68, we end up with 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 30

Moving on to step 6:
If we divide 82 by 30, we get 2 and a remainder of 22.
Use 2 as the next digit of our solution. 
Result so far: 15222.0
If we take 60 away from 82, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 7:
30 goes into 220 7 times with a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 15222.7
If we subtract 210 from 220, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
30 goes into 100 3 times with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 15222.73
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
The number 30 fits into 100 3 times, leaving a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 15222.733
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 15222.733, and the remainder is 0.001.