We're dividing 75451 by 45 
Our goal is to divide 75451 by 45.

Let's proceed to step 1:
When dividing 7 by 45, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 45

Advancing to step 2:
When dividing 75 by 45, we get 1 with a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 45 from 75 to get 30.
Include the next digit (4) from the dividend after 30, then repeat: 304 / 45

Moving on to step 3:
The number 45 fits into 304 6 times, leaving a remainder of 34.
The next digit of our result is 6. 
Result so far: 16.0
The remainder is 34 after subtracting 270 from 304.
Include the next digit (5) from the dividend after 34, then repeat: 345 / 45

Let's proceed to step 4:
345 divided by 45 is 7 with a remainder of 30.
Record the quotient 7 as the next digit in the result. 
Result so far: 167.0
Subtracting 315 from 345 leaves us with 30.
Take the next digit (1) from the dividend and append it to 30, then repeat: 301 / 45

Step 5:
45 goes into 301 6 times with a remainder of 31.
Write down 6 as next digit of the result. 
Result so far: 1676.0
The remainder is 31 after subtracting 270 from 301.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 6:
The number 45 fits into 310 6 times, leaving a remainder of 40.
Put 6 as the next digit of the answer. 
Result so far: 1676.6
The remainder is 40 after subtracting 270 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 7:
If we divide 400 by 45, we get 8 and a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 1676.68
The remainder is 40 after subtracting 360 from 400.
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 8:
When dividing 400 by 45, we get 8 with a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 1676.688
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 1676.688 with a remainder of 0.004.