We divide 13574 by 75
Let's see how many times 75 fits into 13574.

Going ahead to step 1:
If we divide 1 by 75, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 75

Moving on to step 2:
The number 75 fits into 13 0 times, leaving a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Fetch the next digit (5) from the dividend, attach it to 13 and continue: 135 / 75

Step 3:
75 can be fit into 135 1 times, resulting in a remainder of 60.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 75 away from 135, we end up with 60.
Bring next digit (7) of the dividend behind the 60 and repeat the process: 607 / 75

Advancing to step 4:
If we divide 607 by 75, we get 8 and a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 18.0
Subtract 600 from 607 to get 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 75

Moving on to step 5:
When dividing 74 by 75, we get 0 with a remainder of 74.
Write down 0 as next digit of the result. 
Result so far: 180.0
Subtracting 0 from 74 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 6:
740 divided by 75 is 9 with a remainder of 65.
The number 9 becomes the next digit in our result. 
Result so far: 180.9
Subtract 675 from 740 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 7:
75 goes into 650 8 times with a remainder of 50.
Record the quotient 8 as the next digit in the result. 
Result so far: 180.98
Subtract 600 from 650 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 8:
When dividing 500 by 75, we get 6 with a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 180.986
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 9:
If we divide 500 by 75, we get 6 and a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 180.9866
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 180.9866, and the remainder is 0.0005.