Let's divide 749821 by 45
We're looking to find how many times 45 goes into 749821.

Advancing to step 1:
If we divide 7 by 45, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 45

Going ahead to step 2:
The number 45 fits into 74 1 times, leaving a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 45 away from 74, we end up with 29.
Append the next digit (9) from the dividend to 29 and continue with: 299 / 45

Step 3:
299 divided by 45 is 6 with a remainder of 29.
Use 6 as the next digit of our solution. 
Result so far: 16.0
The remainder is 29 after subtracting 270 from 299.
Bring next digit (8) of the dividend behind the 29 and repeat the process: 298 / 45

Moving on to step 4:
298 divided by 45 is 6 with a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 166.0
Subtract 270 from 298 to get 28.
Take the next digit (2) from the dividend and append it to 28, then repeat: 282 / 45

Step 5:
45 goes into 282 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 1666.0
Deduct 270 from 282 and we're left with 12.
Append the next digit (1) from the dividend to 12 and continue with: 121 / 45

Moving on to step 6:
45 goes into 121 2 times with a remainder of 31.
Write down 2 as next digit of the result. 
Result so far: 16662.0
The remainder is 31 after subtracting 90 from 121.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
If we divide 310 by 45, we get 6 and a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 16662.6
Subtracting 270 from 310 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
400 divided by 45 is 8 with a remainder of 40.
The next digit of our result is 8. 
Result so far: 16662.68
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
If we divide 400 by 45, we get 8 and a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 16662.688
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 16662.688 and a remainder of 0.004.