741097 divided by 45 
Our goal is to divide 741097 by 45.

Step 1:
When dividing 7 by 45, we get 0 with a remainder of 7.
The next digit of our result is 0. 
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

Moving on to 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
The remainder is 29 after subtracting 45 from 74.
Take the next digit (1) from the dividend and append it to 29, then repeat: 291 / 45

Step 3:
When dividing 291 by 45, we get 6 with a remainder of 21.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Subtract 270 from 291 to get 21.
Append the next digit (0) from the dividend to 21 and continue with: 210 / 45

On to step 4:
45 can be fit into 210 4 times, resulting in a remainder of 30.
The next digit of our result is 4. 
Result so far: 164.0
Subtract 180 from 210 to get 30.
Grab the next digit (9) from the dividend, add it to 30, then carry on: 309 / 45

Moving on to step 5:
309 divided by 45 is 6 with a remainder of 39.
Record the quotient 6 as the next digit in the result. 
Result so far: 1646.0
Deduct 270 from 309 and we're left with 39.
Include the next digit (7) from the dividend after 39, then repeat: 397 / 45

Going ahead to step 6:
If we divide 397 by 45, we get 8 and a remainder of 37.
Record the quotient 8 as the next digit in the result. 
Result so far: 16468.0
If we subtract 360 from 397, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 7:
45 goes into 370 8 times with a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 16468.8
If we take 360 away from 370, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
If we divide 100 by 45, we get 2 and a remainder of 10.
The next digit of our result is 2. 
Result so far: 16468.82
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.

Let's proceed to step 9:
45 can be fit into 100 2 times, resulting in a remainder of 10.
The next digit of our result is 2. 
Result so far: 16468.822
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 16468.822, and the remainder is 0.001.