Let's divide 634273 by 45
Our goal is to divide 634273 by 45.

Advancing to step 1:
45 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 45

Moving on to step 2:
63 divided by 45 is 1 with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 45 from 63 to get 18.
Append the next digit (4) from the dividend to 18 and continue with: 184 / 45

Moving on to step 3:
The number 45 fits into 184 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
The remainder is 4 after subtracting 180 from 184.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 45

Going ahead to step 4:
When dividing 42 by 45, we get 0 with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 140.0
Subtracting 0 from 42 leaves us with 42.
Include the next digit (7) from the dividend after 42, then repeat: 427 / 45

Moving on to step 5:
When dividing 427 by 45, we get 9 with a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 1409.0
Subtract 405 from 427 to get 22.
Bring next digit (3) of the dividend behind the 22 and repeat the process: 223 / 45

On to step 6:
When dividing 223 by 45, we get 4 with a remainder of 43.
Put 4 as the next digit of the answer. 
Result so far: 14094.0
If we take 180 away from 223, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 7:
45 goes into 430 9 times with a remainder of 25.
Write down 9 as next digit of the result. 
Result so far: 14094.9
If we take 405 away from 430, we end up 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.

On to step 8:
If we divide 250 by 45, we get 5 and a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 14094.95
Deduct 225 from 250 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.

Going ahead to step 9:
The number 45 fits into 250 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 14094.955
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The quotient of the division is 14094.955, and the remainder is 0.0025.