153814 ÷ 75 
We're looking to find how many times 75 goes into 153814.

Going ahead to step 1:
75 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 75

Advancing to step 2:
If we divide 15 by 75, we get 0 and a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Fetch the next digit (3) from the dividend, attach it to 15 and continue: 153 / 75

Let's proceed to step 3:
The number 75 fits into 153 2 times, leaving a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 3 after subtracting 150 from 153.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 75

Step 4:
The number 75 fits into 38 0 times, leaving a remainder of 38.
Record the quotient 0 as the next digit in the result. 
Result so far: 20.0
Subtract 0 from 38 to get 38.
Take the next digit (1) from the dividend and append it to 38, then repeat: 381 / 75

Moving on to step 5:
381 divided by 75 is 5 with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 205.0
Subtract 375 from 381 to get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 75

Let's proceed to step 6:
75 can be fit into 64 0 times, resulting in a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 2050.0
The remainder is 64 after subtracting 0 from 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 7:
75 can be fit into 640 8 times, resulting in a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 2050.8
The remainder is 40 after subtracting 600 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
The number 75 fits into 400 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 2050.85
Deduct 375 from 400 and we're left 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.

Moving on to step 9:
250 divided by 75 is 3 with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 2050.853
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 10:
75 goes into 250 3 times with a remainder of 25.
The next digit of our result is 3. 
Result so far: 2050.8533
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 2050.8533 with a remaining 0.00025.