749666 ÷ 45 
We want to figure out the number of times 749666 can be divided by 45.

On to step 1:
If we divide 7 by 45, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
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

Step 2:
The number 45 fits into 74 1 times, leaving a remainder of 29.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 29 after subtracting 45 from 74.
Take the next digit (9) from the dividend and append it to 29, then repeat: 299 / 45

Moving on to step 3:
299 divided by 45 is 6 with a remainder of 29.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we subtract 270 from 299, we get 29.
Include the next digit (6) from the dividend after 29, then repeat: 296 / 45

Advancing to step 4:
When dividing 296 by 45, we get 6 with a remainder of 26.
Put 6 as the next digit of the answer. 
Result so far: 166.0
Deduct 270 from 296 and we're left with 26.
Append the next digit (6) from the dividend to 26 and continue with: 266 / 45

Step 5:
The number 45 fits into 266 5 times, leaving a remainder of 41.
Put 5 as the next digit of the answer. 
Result so far: 1665.0
The remainder is 41 after subtracting 225 from 266.
Bring next digit (6) of the dividend behind the 41 and repeat the process: 416 / 45

Going ahead to step 6:
45 goes into 416 9 times with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 16659.0
Subtract 405 from 416 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
45 can be fit into 110 2 times, resulting in a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 16659.2
If we take 90 away from 110, 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.

Step 8:
When dividing 200 by 45, we get 4 with a remainder of 20.
The next digit of our result is 4. 
Result so far: 16659.24
Deduct 180 from 200 and we're left 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 9:
If we divide 200 by 45, we get 4 and a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 16659.244
Subtract 180 from 200 to 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.

The quotient of the division is 16659.244, and the remainder is 0.002.