We divide 350977 by 80
Our goal is to divide 350977 by 80.

Step 1:
When dividing 3 by 80, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 80

Let's proceed to step 2:
The number 80 fits into 35 0 times, leaving a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Include the next digit (0) from the dividend after 35, then repeat: 350 / 80

Let's proceed to step 3:
The number 80 fits into 350 4 times, leaving a remainder of 30.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 30 after subtracting 320 from 350.
Take the next digit (9) from the dividend and append it to 30, then repeat: 309 / 80

Advancing to step 4:
80 can be fit into 309 3 times, resulting in a remainder of 69.
The number 3 becomes the next digit in our result. 
Result so far: 43.0
If we take 240 away from 309, we end up with 69.
Append the next digit (7) from the dividend to 69 and continue with: 697 / 80

On to step 5:
When dividing 697 by 80, we get 8 with a remainder of 57.
Put 8 as the next digit of the answer. 
Result so far: 438.0
Subtracting 640 from 697 leaves us with 57.
Fetch the next digit (7) from the dividend, attach it to 57 and continue: 577 / 80

On to step 6:
80 goes into 577 7 times with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 4387.0
Subtract 560 from 577 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
The number 80 fits into 170 2 times, leaving a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 4387.2
Subtract 160 from 170 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.

On to step 8:
The number 80 fits into 100 1 times, leaving a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 4387.21
The remainder is 20 after subtracting 80 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
80 can be fit into 200 2 times, resulting in a remainder of 40.
Put 2 as the next digit of the answer. 
Result so far: 4387.212
If we take 160 away from 200, 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.

Step 10:
When dividing 400 by 80, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 4387.2125
Deduct 400 from 400 and we're left 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.

Let's proceed to step 11:
80 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 4387.2125
If we subtract 0 from 0, we 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.

Moving on to step 12:
The number 80 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4387.2125
Subtracting 0 from 0 leaves us 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.

The final result is 4387.2125 with a remainder of 0.0.