350497 ÷ 45 
We want to divide 350497 by 45.

Going ahead to step 1:
45 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 45

Advancing to step 2:
35 divided by 45 is 0 with a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Grab the next digit (0) from the dividend, add it to 35, then carry on: 350 / 45

Let's proceed to step 3:
45 can be fit into 350 7 times, resulting in a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 315 from 350, we get 35.
Include the next digit (4) from the dividend after 35, then repeat: 354 / 45

Advancing to step 4:
45 can be fit into 354 7 times, resulting in a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 77.0
Subtracting 315 from 354 leaves us with 39.
Fetch the next digit (9) from the dividend, attach it to 39 and continue: 399 / 45

On to step 5:
399 divided by 45 is 8 with a remainder of 39.
The number 8 becomes the next digit in our result. 
Result so far: 778.0
Deduct 360 from 399 and we're left with 39.
Fetch the next digit (7) from the dividend, attach it to 39 and continue: 397 / 45

Step 6:
The number 45 fits into 397 8 times, leaving a remainder of 37.
Put 8 as the next digit of the answer. 
Result so far: 7788.0
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.

Step 7:
45 goes into 370 8 times with a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 7788.8
If we subtract 360 from 370, 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.

Moving on to step 8:
45 goes into 100 2 times with a remainder of 10.
The next digit of our result is 2. 
Result so far: 7788.82
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.

Going ahead to step 9:
100 divided by 45 is 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 7788.822
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.

In conclusion, the division gives 7788.822 with a balance of 0.001.