We look at the division of 349773 by 84 
We want to divide 349773 by 84.

Step 1:
84 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 84

Moving on to step 2:
84 can be fit into 34 0 times, resulting in a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Include the next digit (9) from the dividend after 34, then repeat: 349 / 84

Step 3:
The number 84 fits into 349 4 times, leaving a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 336 away from 349, we end up with 13.
Take the next digit (7) from the dividend and append it to 13, then repeat: 137 / 84

Let's proceed to step 4:
When dividing 137 by 84, we get 1 with a remainder of 53.
Use 1 as the next digit of our solution. 
Result so far: 41.0
Subtract 84 from 137 to get 53.
Take the next digit (7) from the dividend and append it to 53, then repeat: 537 / 84

Step 5:
537 divided by 84 is 6 with a remainder of 33.
The number 6 becomes the next digit in our result. 
Result so far: 416.0
Subtracting 504 from 537 leaves us with 33.
Bring next digit (3) of the dividend behind the 33 and repeat the process: 333 / 84

Advancing to step 6:
The number 84 fits into 333 3 times, leaving a remainder of 81.
Put 3 as the next digit of the answer. 
Result so far: 4163.0
If we subtract 252 from 333, we get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

On to step 7:
84 can be fit into 810 9 times, resulting in a remainder of 54.
Write down 9 as next digit of the result. 
Result so far: 4163.9
Deduct 756 from 810 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 8:
If we divide 540 by 84, we get 6 and a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 4163.96
Deduct 504 from 540 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 9:
84 goes into 360 4 times with a remainder of 24.
The next digit of our result is 4. 
Result so far: 4163.964
If we subtract 336 from 360, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 10:
84 goes into 240 2 times with a remainder of 72.
Use 2 as the next digit of our solution. 
Result so far: 4163.9642
If we take 168 away from 240, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 11:
When dividing 720 by 84, we get 8 with a remainder of 48.
Use 8 as the next digit of our solution. 
Result so far: 4163.96428
If we take 672 away from 720, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 12:
84 can be fit into 480 5 times, resulting in a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 4163.964285
If we subtract 420 from 480, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 13:
600 divided by 84 is 7 with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 4163.9642857
The remainder is 12 after subtracting 588 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 14:
84 goes into 120 1 times with a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 4163.96428571
Subtracting 84 from 120 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The quotient of the division is 4163.96428571, and the remainder is 3.6e-08.