We look at the division of 754280 by 45 
We want to figure out the number of times 754280 can be divided by 45.

On to step 1:
45 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 45

On to step 2:
45 can be fit into 75 1 times, resulting in a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 45 from 75, we get 30.
Bring next digit (4) of the dividend behind the 30 and repeat the process: 304 / 45

On to step 3:
The number 45 fits into 304 6 times, leaving a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 16.0
If we take 270 away from 304, we end up with 34.
Take the next digit (2) from the dividend and append it to 34, then repeat: 342 / 45

Step 4:
45 goes into 342 7 times with a remainder of 27.
The next digit of our result is 7. 
Result so far: 167.0
Deduct 315 from 342 and we're left with 27.
Take the next digit (8) from the dividend and append it to 27, then repeat: 278 / 45

Step 5:
When dividing 278 by 45, we get 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 1676.0
Subtracting 270 from 278 leaves us with 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 45

Advancing to step 6:
When dividing 80 by 45, we get 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 16761.0
Subtract 45 from 80 to get 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:
When dividing 350 by 45, we get 7 with a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 16761.7
Subtract 315 from 350 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
45 goes into 350 7 times with a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 16761.77
Subtract 315 from 350 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The quotient of the division is 16761.77, and the remainder is 0.035.