737417 ÷ 45 
Let's see how many times 45 fits into 737417.

Moving on to step 1:
The number 45 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (3) from the dividend and append it to 7, then repeat: 73 / 45

Step 2:
The number 45 fits into 73 1 times, leaving a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 45 from 73 and we're left with 28.
Take the next digit (7) from the dividend and append it to 28, then repeat: 287 / 45

Let's proceed to step 3:
45 goes into 287 6 times with a remainder of 17.
The next digit of our result is 6. 
Result so far: 16.0
If we take 270 away from 287, we end up with 17.
Grab the next digit (4) from the dividend, add it to 17, then carry on: 174 / 45

Advancing to step 4:
45 can be fit into 174 3 times, resulting in a remainder of 39.
Put 3 as the next digit of the answer. 
Result so far: 163.0
If we subtract 135 from 174, we get 39.
Append the next digit (1) from the dividend to 39 and continue with: 391 / 45

Step 5:
45 can be fit into 391 8 times, resulting in a remainder of 31.
Record the quotient 8 as the next digit in the result. 
Result so far: 1638.0
Subtracting 360 from 391 leaves us with 31.
Bring next digit (7) of the dividend behind the 31 and repeat the process: 317 / 45

On to step 6:
45 goes into 317 7 times with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 16387.0
Deduct 315 from 317 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
20 divided by 45 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 16387.0
Subtracting 0 from 20 leaves us 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.

On to step 8:
The number 45 fits into 200 4 times, leaving a remainder of 20.
The next digit of our result is 4. 
Result so far: 16387.04
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
The number 45 fits into 200 4 times, leaving a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 16387.044
Subtracting 180 from 200 leaves us 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.

In conclusion, the division gives 16387.044 with a balance of 0.002.