We look at the division of 45320 by 6 
We want to figure out the number of times 45320 can be divided by 6.

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
Subtract 0 from 4 to get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 6

Let's proceed to step 2:
6 goes into 45 7 times with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 3 after subtracting 42 from 45.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 6

Step 3:
The number 6 fits into 33 5 times, leaving a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
Subtracting 30 from 33 leaves us with 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 6

On to step 4:
If we divide 32 by 6, we get 5 and a remainder of 2.
The next digit of our result is 5. 
Result so far: 755.0
Subtracting 30 from 32 leaves us with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 6

Moving on to step 5:
20 divided by 6 is 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 7553.0
Subtract 18 from 20 to 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.

Step 6:
The number 6 fits into 20 3 times, leaving a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 7553.3
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.

On to step 7:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 7553.33
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.

The quotient of the division is 7553.33, and the remainder is 0.002.