We're dividing 62184 by 45 
We want to figure out the number of times 62184 can be divided by 45.

On to step 1:
45 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 45

Going ahead to step 2:
The number 45 fits into 62 1 times, leaving a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 45 from 62 to get 17.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 45

Going ahead to step 3:
171 divided by 45 is 3 with a remainder of 36.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtracting 135 from 171 leaves us with 36.
Grab the next digit (8) from the dividend, add it to 36, then carry on: 368 / 45

Going ahead to step 4:
45 goes into 368 8 times with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 138.0
Deduct 360 from 368 and we're left with 8.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 45

Advancing to step 5:
45 goes into 84 1 times with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 1381.0
If we take 45 away from 84, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 6:
When dividing 390 by 45, we get 8 with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 1381.8
If we take 360 away from 390, we end up 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.

On to step 7:
300 divided by 45 is 6 with a remainder of 30.
The next digit of our result is 6. 
Result so far: 1381.86
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.

Let's proceed to step 8:
45 can be fit into 300 6 times, resulting in a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 1381.866
Deduct 270 from 300 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.

The quotient of the division is 1381.866, and the remainder is 0.003.