Let's divide 40669 by 75
Our goal is to divide 40669 by 75.

Moving on to step 1:
75 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 75

On to step 2:
If we divide 40 by 75, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 40 to get 40.
Take the next digit (6) from the dividend and append it to 40, then repeat: 406 / 75

Going ahead to step 3:
The number 75 fits into 406 5 times, leaving a remainder of 31.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 31 after subtracting 375 from 406.
Include the next digit (6) from the dividend after 31, then repeat: 316 / 75

Going ahead to step 4:
75 can be fit into 316 4 times, resulting in a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 54.0
Subtract 300 from 316 to get 16.
Grab the next digit (9) from the dividend, add it to 16, then carry on: 169 / 75

Advancing to step 5:
169 divided by 75 is 2 with a remainder of 19.
The next digit of our result is 2. 
Result so far: 542.0
Deduct 150 from 169 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 6:
The number 75 fits into 190 2 times, leaving a remainder of 40.
Use 2 as the next digit of our solution. 
Result so far: 542.2
If we subtract 150 from 190, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 7:
75 can be fit into 400 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 542.25
Subtracting 375 from 400 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
When dividing 250 by 75, we get 3 with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 542.253
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 542.2533
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 542.2533 with a remaining 0.00025.