753634 divided by 45 
We want to divide 753634 by 45.

On to step 1:
45 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 45

Let's proceed to step 2:
45 goes into 75 1 times with a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 30 after subtracting 45 from 75.
Append the next digit (3) from the dividend to 30 and continue with: 303 / 45

On to step 3:
45 can be fit into 303 6 times, resulting in a remainder of 33.
Use 6 as the next digit of our solution. 
Result so far: 16.0
Subtracting 270 from 303 leaves us with 33.
Append the next digit (6) from the dividend to 33 and continue with: 336 / 45

Going ahead to step 4:
45 can be fit into 336 7 times, resulting in a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 167.0
Deduct 315 from 336 and we're left with 21.
Bring next digit (3) of the dividend behind the 21 and repeat the process: 213 / 45

Going ahead to step 5:
213 divided by 45 is 4 with a remainder of 33.
The number 4 becomes the next digit in our result. 
Result so far: 1674.0
Subtract 180 from 213 to get 33.
Bring next digit (4) of the dividend behind the 33 and repeat the process: 334 / 45

Moving on to step 6:
45 can be fit into 334 7 times, resulting in a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 16747.0
If we take 315 away from 334, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 7:
190 divided by 45 is 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 16747.4
The remainder is 10 after subtracting 180 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
The number 45 fits into 100 2 times, leaving a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 16747.42
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
When dividing 100 by 45, we get 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 16747.422
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 16747.422 with a remainder of 0.001.