We look at the division of 293600 by 45 
We want to figure out the number of times 293600 can be divided by 45.

Let's proceed to step 1:
45 can be fit into 2 0 times, resulting in a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 45

Advancing to step 2:
29 divided by 45 is 0 with a remainder of 29.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 29 to get 29.
Fetch the next digit (3) from the dividend, attach it to 29 and continue: 293 / 45

Going ahead to step 3:
45 goes into 293 6 times with a remainder of 23.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 270 from 293 and we're left with 23.
Fetch the next digit (6) from the dividend, attach it to 23 and continue: 236 / 45

Step 4:
If we divide 236 by 45, we get 5 and a remainder of 11.
The next digit of our result is 5. 
Result so far: 65.0
Deduct 225 from 236 and we're left with 11.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 45

Let's proceed to step 5:
45 goes into 110 2 times with a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 652.0
Subtracting 90 from 110 leaves us with 20.
Fetch the next digit (0) from the dividend, attach it to 20 and continue: 200 / 45

Moving on to step 6:
45 can be fit into 200 4 times, resulting in a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 6524.0
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 7:
If we divide 200 by 45, we get 4 and a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 6524.4
If we subtract 180 from 200, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
If we divide 200 by 45, we get 4 and a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 6524.44
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 6524.44, and the remainder is 0.02.