We're dividing 360337 by 44 
We're looking to find how many times 44 goes into 360337.

Let's proceed to step 1:
3 divided by 44 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 44

On to step 2:
If we divide 36 by 44, we get 0 and a remainder of 36.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 36, we get 36.
Append the next digit (0) from the dividend to 36 and continue with: 360 / 44

On to step 3:
360 divided by 44 is 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 8 after subtracting 352 from 360.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 44

Going ahead to step 4:
When dividing 83 by 44, we get 1 with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 81.0
Subtract 44 from 83 to get 39.
Grab the next digit (3) from the dividend, add it to 39, then carry on: 393 / 44

Step 5:
44 can be fit into 393 8 times, resulting in a remainder of 41.
Record the quotient 8 as the next digit in the result. 
Result so far: 818.0
The remainder is 41 after subtracting 352 from 393.
Include the next digit (7) from the dividend after 41, then repeat: 417 / 44

Step 6:
44 can be fit into 417 9 times, resulting in a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 8189.0
Deduct 396 from 417 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
44 goes into 210 4 times with a remainder of 34.
Use 4 as the next digit of our solution. 
Result so far: 8189.4
Subtract 176 from 210 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
340 divided by 44 is 7 with a remainder of 32.
The number 7 becomes the next digit in our result. 
Result so far: 8189.47
If we subtract 308 from 340, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
When dividing 320 by 44, we get 7 with a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 8189.477
The remainder is 12 after subtracting 308 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 8189.477, with a leftover of 0.0012.