We divide 333575 by 45
We want to figure out the number of times 333575 can be divided by 45.

Advancing to step 1:
When dividing 3 by 45, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 45

Moving on to step 2:
If we divide 33 by 45, we get 0 and a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 33, we end up with 33.
Grab the next digit (3) from the dividend, add it to 33, then carry on: 333 / 45

Advancing to step 3:
The number 45 fits into 333 7 times, leaving a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 18 after subtracting 315 from 333.
Include the next digit (5) from the dividend after 18, then repeat: 185 / 45

Advancing to step 4:
45 goes into 185 4 times with a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
The remainder is 5 after subtracting 180 from 185.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 45

Moving on to step 5:
The number 45 fits into 57 1 times, leaving a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 741.0
If we subtract 45 from 57, we get 12.
Append the next digit (5) from the dividend to 12 and continue with: 125 / 45

Let's proceed to step 6:
When dividing 125 by 45, we get 2 with a remainder of 35.
Record the quotient 2 as the next digit in the result. 
Result so far: 7412.0
If we take 90 away from 125, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 7:
If we divide 350 by 45, we get 7 and a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 7412.7
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
The number 45 fits into 350 7 times, leaving a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 7412.77
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 7412.77 and a remainder of 0.035.