654234 ÷ 45 
We want to figure out the number of times 654234 can be divided by 45.

Going ahead to step 1:
If we divide 6 by 45, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 45

Step 2:
45 goes into 65 1 times with a remainder of 20.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 45 from 65, we get 20.
Bring next digit (4) of the dividend behind the 20 and repeat the process: 204 / 45

Going ahead to step 3:
If we divide 204 by 45, we get 4 and a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 14.0
If we take 180 away from 204, we end up with 24.
Grab the next digit (2) from the dividend, add it to 24, then carry on: 242 / 45

Going ahead to step 4:
45 can be fit into 242 5 times, resulting in a remainder of 17.
The number 5 becomes the next digit in our result. 
Result so far: 145.0
Subtracting 225 from 242 leaves us with 17.
Bring next digit (3) of the dividend behind the 17 and repeat the process: 173 / 45

Going ahead to step 5:
When dividing 173 by 45, we get 3 with a remainder of 38.
Use 3 as the next digit of our solution. 
Result so far: 1453.0
The remainder is 38 after subtracting 135 from 173.
Grab the next digit (4) from the dividend, add it to 38, then carry on: 384 / 45

Let's proceed to step 6:
384 divided by 45 is 8 with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 14538.0
If we subtract 360 from 384, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
The number 45 fits into 240 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 14538.5
Deduct 225 from 240 and we're left 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.

Moving on to step 8:
If we divide 150 by 45, we get 3 and a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 14538.53
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:
If we divide 150 by 45, we get 3 and a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 14538.533
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 quotient of the division is 14538.533, and the remainder is 0.0015.