117753 ÷ 45 
Our goal is to divide 117753 by 45.

Step 1:
1 divided by 45 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 45

Moving on to step 2:
If we divide 11 by 45, we get 0 and a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 45

Going ahead to step 3:
If we divide 117 by 45, we get 2 and a remainder of 27.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 90 from 117, we get 27.
Append the next digit (7) from the dividend to 27 and continue with: 277 / 45

Let's proceed to step 4:
45 can be fit into 277 6 times, resulting in a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 26.0
Subtract 270 from 277 to get 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 45

Let's proceed to step 5:
45 goes into 75 1 times with a remainder of 30.
Use 1 as the next digit of our solution. 
Result so far: 261.0
Deduct 45 from 75 and we're left with 30.
Bring next digit (3) of the dividend behind the 30 and repeat the process: 303 / 45

Going ahead to step 6:
45 can be fit into 303 6 times, resulting in a remainder of 33.
Record the quotient 6 as the next digit in the result. 
Result so far: 2616.0
If we take 270 away from 303, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 7:
If we divide 330 by 45, we get 7 and a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 2616.7
If we subtract 315 from 330, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
45 can be fit into 150 3 times, resulting in a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 2616.73
Subtracting 135 from 150 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 9:
45 goes into 150 3 times with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 2616.733
Subtract 135 from 150 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final outcome is 2616.733, with a leftover of 0.0015.