749719 ÷ 45 
We want to figure out the number of times 749719 can be divided by 45.

Advancing to step 1:
When dividing 7 by 45, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 45

Step 2:
74 divided by 45 is 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 45 from 74, we get 29.
Include the next digit (9) from the dividend after 29, then repeat: 299 / 45

Moving on to step 3:
If we divide 299 by 45, we get 6 and a remainder of 29.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Deduct 270 from 299 and we're left with 29.
Fetch the next digit (7) from the dividend, attach it to 29 and continue: 297 / 45

Advancing to step 4:
297 divided by 45 is 6 with a remainder of 27.
Record the quotient 6 as the next digit in the result. 
Result so far: 166.0
The remainder is 27 after subtracting 270 from 297.
Take the next digit (1) from the dividend and append it to 27, then repeat: 271 / 45

Going ahead to step 5:
45 can be fit into 271 6 times, resulting in a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 1666.0
The remainder is 1 after subtracting 270 from 271.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 45

Advancing to step 6:
If we divide 19 by 45, we get 0 and a remainder of 19.
The next digit of our result is 0. 
Result so far: 16660.0
Deduct 0 from 19 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
When dividing 190 by 45, we get 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 16660.4
If we subtract 180 from 190, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
45 goes into 100 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 16660.42
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
If we divide 100 by 45, we get 2 and a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 16660.422
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 16660.422 with a remaining 0.001.