369337 ÷ 45 
Our goal is to divide 369337 by 45.

Let's proceed to step 1:
45 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 45

Going ahead to step 2:
The number 45 fits into 36 0 times, leaving a remainder of 36.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 36, we end up with 36.
Grab the next digit (9) from the dividend, add it to 36, then carry on: 369 / 45

Step 3:
45 can be fit into 369 8 times, resulting in a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we subtract 360 from 369, we get 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 45

Advancing to step 4:
93 divided by 45 is 2 with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
The remainder is 3 after subtracting 90 from 93.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 45

Let's proceed to step 5:
The number 45 fits into 33 0 times, leaving a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 820.0
The remainder is 33 after subtracting 0 from 33.
Grab the next digit (7) from the dividend, add it to 33, then carry on: 337 / 45

Advancing to step 6:
When dividing 337 by 45, we get 7 with a remainder of 22.
Put 7 as the next digit of the answer. 
Result so far: 8207.0
Subtracting 315 from 337 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
220 divided by 45 is 4 with a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 8207.4
The remainder is 40 after subtracting 180 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
45 goes into 400 8 times with a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 8207.48
Subtracting 360 from 400 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 9:
If we divide 400 by 45, we get 8 and a remainder of 40.
The next digit of our result is 8. 
Result so far: 8207.488
If we take 360 away from 400, we end up 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.

The final result is 8207.488 with a remainder of 0.004.