We look at the division of 746607 by 45 
We're looking to find how many times 45 goes into 746607.

Advancing to step 1:
7 divided by 45 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 45

Advancing to step 2:
The number 45 fits into 74 1 times, leaving a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 29 after subtracting 45 from 74.
Take the next digit (6) from the dividend and append it to 29, then repeat: 296 / 45

Let's proceed to step 3:
45 goes into 296 6 times with a remainder of 26.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we subtract 270 from 296, we get 26.
Take the next digit (6) from the dividend and append it to 26, then repeat: 266 / 45

Going ahead to step 4:
If we divide 266 by 45, we get 5 and a remainder of 41.
Record the quotient 5 as the next digit in the result. 
Result so far: 165.0
If we subtract 225 from 266, we get 41.
Grab the next digit (0) from the dividend, add it to 41, then carry on: 410 / 45

Moving on to step 5:
45 goes into 410 9 times with a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 1659.0
If we take 405 away from 410, we end up with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 45

Step 6:
45 can be fit into 57 1 times, resulting in a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 16591.0
If we take 45 away from 57, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
120 divided by 45 is 2 with a remainder of 30.
The next digit of our result is 2. 
Result so far: 16591.2
Subtract 90 from 120 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.

Going ahead to step 8:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 16591.26
The remainder is 30 after subtracting 270 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
If we divide 300 by 45, we get 6 and a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 16591.266
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.

Our division results in 16591.266 with a remaining 0.003.