We look at the division of 117183 by 45 
We want to figure out the number of times 117183 can be divided by 45.

On to step 1:
45 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 45

On to step 2:
45 can be fit into 11 0 times, resulting in a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 45

On to step 3:
The number 45 fits into 117 2 times, leaving a remainder of 27.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 90 from 117, we get 27.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 45

Going ahead to step 4:
If we divide 271 by 45, we get 6 and a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 26.0
Subtract 270 from 271 to get 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 45

Moving on to step 5:
When dividing 18 by 45, we get 0 with a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 260.0
Deduct 0 from 18 and we're left with 18.
Bring next digit (3) of the dividend behind the 18 and repeat the process: 183 / 45

Moving on to step 6:
183 divided by 45 is 4 with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 2604.0
The remainder is 3 after subtracting 180 from 183.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
If we divide 30 by 45, we get 0 and a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 2604.0
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
When dividing 300 by 45, we get 6 with a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 2604.06
If we subtract 270 from 300, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
When dividing 300 by 45, we get 6 with a remainder of 30.
The next digit of our result is 6. 
Result so far: 2604.066
Subtract 270 from 300 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 2604.066, and the remainder is 0.003.