We look at the division of 743406 by 45 
We want to figure out the number of times 743406 can be divided by 45.

Step 1:
When dividing 7 by 45, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 45

Moving on to step 2:
74 divided by 45 is 1 with a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 45 from 74, we get 29.
Fetch the next digit (3) from the dividend, attach it to 29 and continue: 293 / 45

Moving on to step 3:
293 divided by 45 is 6 with a remainder of 23.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Subtract 270 from 293 to get 23.
Append the next digit (4) from the dividend to 23 and continue with: 234 / 45

Let's proceed to step 4:
When dividing 234 by 45, we get 5 with a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 165.0
If we take 225 away from 234, we end up with 9.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 45

Let's proceed to step 5:
90 divided by 45 is 2 with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 1652.0
Subtract 90 from 90 to get 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 45

Going ahead to step 6:
45 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 16520.0
The remainder is 6 after subtracting 0 from 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
When dividing 60 by 45, we get 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 16520.1
If we take 45 away from 60, we end up 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.

Let's proceed to step 8:
150 divided by 45 is 3 with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 16520.13
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.

Step 9:
45 can be fit into 150 3 times, resulting in a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 16520.133
The remainder is 15 after subtracting 135 from 150.
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 16520.133, and the remainder is 0.0015.