We're dividing 355116 by 80 
We're looking to find how many times 80 goes into 355116.

Advancing to step 1:
When dividing 3 by 80, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 80

Advancing to step 2:
80 goes into 35 0 times with a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Include the next digit (5) from the dividend after 35, then repeat: 355 / 80

Moving on to step 3:
80 can be fit into 355 4 times, resulting in a remainder of 35.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 320 from 355 leaves us with 35.
Grab the next digit (1) from the dividend, add it to 35, then carry on: 351 / 80

Advancing to step 4:
When dividing 351 by 80, we get 4 with a remainder of 31.
The number 4 becomes the next digit in our result. 
Result so far: 44.0
If we take 320 away from 351, we end up with 31.
Bring next digit (1) of the dividend behind the 31 and repeat the process: 311 / 80

Let's proceed to step 5:
When dividing 311 by 80, we get 3 with a remainder of 71.
Put 3 as the next digit of the answer. 
Result so far: 443.0
Deduct 240 from 311 and we're left with 71.
Fetch the next digit (6) from the dividend, attach it to 71 and continue: 716 / 80

Let's proceed to step 6:
716 divided by 80 is 8 with a remainder of 76.
Record the quotient 8 as the next digit in the result. 
Result so far: 4438.0
If we take 640 away from 716, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 7:
80 can be fit into 760 9 times, resulting in a remainder of 40.
The number 9 becomes the next digit in our result. 
Result so far: 4438.9
The remainder is 40 after subtracting 720 from 760.
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:
80 goes into 400 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 4438.95
If we take 400 away from 400, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
80 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4438.95
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
The number 80 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 4438.95
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 4438.95, and the remainder is 0.0.